Mañosa Fernández, Víctor
Total activity: 112

## Scientific and technological production Ordered by:  Date asc. Date desc. Title asc. Title desc. Researcher asc. Researcher desc.

1 to 50 of 112 results
• Basin of attraction of triangular maps with applications

Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor
Journal of difference equations and applications
Date of publication: 2014-03
Journal article

We consider planar triangular maps that preserve certain fibration of the plane. We assume that there exists an invariant attracting fiber and we study the limit dynamics of those points in the basin of attraction of this invariant fiber, assuming that either it contains a global attractor, or it is filled by fixed or 2-periodic points. We apply our results to several examples.

We consider planar triangular maps that preserve certain fibration of the plane. We assume that there exists an invariant attracting fiber and we study the limit dynamics of those points in the basin of attraction of this invariant fiber, assuming that either it contains a global attractor, or it is filled by fixed or 2-periodic points. We apply our results to several examples.

Postprint (author’s final draft)

• Spectral properties of the connectivity matrix and the SIS-epidemic threshold for mid-size metapopulations

Juher Barrot, David; Mañosa Fernández, Víctor
Mathematical modeling of natural phenomena
Date of publication: 2014-04-24
Journal article

We consider the spread of an infectious disease on a heterogeneous metapopulation defined by any (correlated or uncorrelated) network. The infection evolves under transmission, recovery and migration mechanisms. We study some spectral properties of a connectivity matrix arising from the continuous-time equations of the model. In particular we show that the classical sufficient condition of instability for the disease-free equilibrium, well known for the particular case of uncorrelated networks, works also for the general case. We give also an alternative condition that yields a more accurate estimation of the epidemic threshold for correlated (either assortative or dissortative) networks.

We consider the spread of an infectious disease on a heterogeneous metapopulation defined by any (correlated or uncorrelated) network. The infection evolves under transmission, recovery and migration mechanisms. We study some spectral properties of a connectivity matrix arising from the continuous-time equations of the model. In particular we show that the classical sufficient condition of instability for the disease-free equilibrium, well known for the particular case of uncorrelated networks, works also for the general case. We give also an alternative condition that yields a more accurate estimation of the epidemic threshold for correlated (either assortative or dissortative) networks.

Postprint (author’s final draft)

• Periodic orbits of planar integrable birational maps

Gálvez Carrillo, Maria Immaculada; Mañosa Fernández, Víctor
Date: 2014-02-14
Report

A birational planar map F possessing a rational first integral preserves a foliation of the plane given by algebraic curves which, if F is not globally periodic, is given by a foliation of curves that have generically genus 0 or 1. In the genus 1 case, the group structure of the foliation characterizes the dynamics of any birational map preserving it. We will see how to take advantage of this structure to find periodic orbits of such maps.

A birational planar map F possessing a rational ﬁrst integral preserves a foliation of the plane given by algebraic curves which, if F is not globally periodic, is given by a foliation of curves that have generically genus 0 or 1. In the genus 1 case, the group structure of the foliation characterizes the dynamics of any birational map preserving it. We will see how to take advantage of this structure to ﬁnd periodic orbits of such maps.

• On periodic solutions of 2-periodic Lyness' equations

Bastien, Guy; Mañosa Fernández, Víctor; Rogalski, Marc
International journal of bifurcation and chaos
Date of publication: 2013-04
Journal article

We study the existence of periodic solutions of the non--autonomous periodic Lyness' recurrence u_{n+2}=(a_n+u_{n+1})/u_n, where {a_n}_n is a cycle with positive values a,b and with positive initial conditions. It is known that for a=b=1 all the sequences generated by this recurrence are 5-periodic. We prove that for each pair (a,b) is not (1,1) there are infinitely many initial conditions giving rise to periodic sequences, and that the family of recurrences have almost all the even periods. If a is different from b, then any odd period, except 1, appears.

We study the existence of periodic solutions of the nonautonomous periodic Lyness' recurrenceun+2 = (an + un+1)/un, where {an}n is a cycle with positive values a, b and with positive initial conditions. It is known that for a = b = 1 all the sequences generated by this recurrence are 5-periodic. We prove that for each pair (a, b) ≠ (1, 1) there are infinitely many initial conditions giving rise to periodic sequences, and that the family of recurrences have almost all the even periods. If a ≠ b, then any odd period, except 1, appears.

Postprint (author’s final draft)

• Global periodicity conditions for maps and recurrences via normal forms

Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor
International journal of bifurcation and chaos
Date of publication: 2013-11
Journal article

We face the problem of characterizing the periodic cases in parametric families of rational diffeomorphisms of ¿^k, where ¿ is R or C, having a fixed point. Our approach relies on the Normal Form Theory, to obtain necessary conditions for the existence of a formal linearization of the map, and on the introduction of a suitable rational parametrization of the parameters of the family. Using these tools we can find a finite set of values p for which the map can be p-periodic, reducing the problem of finding the parameters for which the periodic cases appear to simple computations. We apply our results to several two- and three-dimensional classes of polynomial or rational maps. In particular, we find the global periodic cases for several Lyness-type recurrences.

We face the problem of characterizing the periodic cases in parametric families of rational diffeomorphisms of K, where K is ℝ or ℂ, having a fixed point. Our approach relies on the Normal Form Theory, to obtain necessary conditions for the existence of a formal linearization of the map, and on the introduction of a suitable rational parametrization of the parameters of the family. Using these tools we can find a finite set of values p for which the map can be p-periodic, reducing the problem of finding the parameters for which the periodic cases appear to simple computations. We apply our results to several two- and three-dimensional classes of polynomial or rational maps. In particular, we find the global periodic cases for several Lyness-type recurrences.

Postprint (author’s final draft)

• Integrability and non-integrability of periodic non-autonomous Lyness recurrences

Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor
Dynamical systems: an international journal
Date of publication: 2013-12-01
Journal article

This paper studies non-autonomous Lyness-type recurrences of the form x_{n+2} = (a_n + x_{n+1})/x n , where a_n is a k-periodic sequence of positive numbers with primitive period k. We show that for the cases k in {1, 2, 3, 6}, the behaviour of the sequence x_n is simple (integrable), while for the remaining cases satisfying this behaviour can be much more complicated (chaotic). We also show that the cases where k is a multiple of 5 present some different features.

This paper studies non-autonomous Lyness-type recurrences of the form x n+2 = (a n + x n+1)/x n , where {a n } is a k-periodic sequence of positive numbers with primitive period k. We show that for the cases k {1, 2, 3, 6}, the behaviour of the sequence {x n } is simple (integrable), while for the remaining cases satisfying this behaviour can be much more complicated (chaotic). We also show that the cases where k is a multiple of 5 present some different features.

• Periodic orbits of planar integrable birational maps

Mañosa Fernández, Víctor
International Workshop on Nonlinear Maps and their Applications
Presentation's date: 2013-09-03
Presentation of work at congresses

A birational planar map F possessing a rational first integral, preserves a foliation of the plane given by algebraic curves which, in the case that F is not globally periodic, generically is given by a foliation of conics or elliptic curves. In the latter case, the group structure of the elliptic foliation characterizes the dynamics of any birational map preserving it. We will see how to take advantage of this structure for searching periodic orbits of such maps.

• On the set of periods of the 2-periodic Lyness¿ Equation

Bastien, Guy; Mañosa Fernández, Víctor; Rogalski, Marc
Date: 2013-07-25
Report

We study the periodic solutions of the non--autonomous periodic Lyness' recurrence u_{n+2}=(a_n+u_{n+1})/{u_n}, where a_n is a cycle with positive values a,b and with positive initial conditions. Among other methodological issues we give an outline of the proof of the following results: (1) If (a,b)\neq(1,1), then there exists a value p_0(a,b) such that for any p>p_0(a,b) there exist continua of initial conditions giving rise to 2p--periodic sequences. (2) The set of minimal periods arising when a and b are positive and positive initial conditions are considered, contains all the even numbers except 4, 6, 8, 12 and 20. If a\neq b, then it does not appear any odd period, except 1.

We study the periodic solutions of the non–autonomous periodic Lyness’ recurrence un+2 = (an +un+1)=un, where fangn is a cycle with positive values a,b and with positive initial conditions. Among other methodological issues we give an outline of the proof of the following results: (1) If (a;b) 6= (1;1), then there exists a value p0(a;b) such that for any p > p0(a;b) there exist continua of initial conditions giving rise to 2p–periodic sequences. (2) The set of minimal periods arising when (a;b) 2 (0;¥) 2 and positive initial conditions are considered, contains all the even numbers except 4, 6, 8, 12 and 20. If a 6= b, then it does not appear any odd period, except 1.

• Different approaches to the global periodicity problem

Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor; Mañosas, Francesc
Date: 2013-07-25
Report

Let F be a real or complex n-dimensional map. It is said that F is globally periodic if there exists some p such that F^p(x)=x for all x. The minimal p satisfying this property is called the period of F. Given a m-dimensional parametric family of maps, say F_\lambda, a problem of current interest is to determine all the values of \lambda such that F_\lambda is globally periodic, together with their corresponding periods. The aim of this paper is to show some techniques that we use to face this question, as well as some recent results that we have obtained. We will focus on proving the equivalence of the problem with the complete integrability of the dynamical system induced by the map F, and related issues; on the use of the local linearization given by the Bochner Theorem; and on the use the Normal Form theory. We also present some open questions in this setting.

t Let F be a real or complex n-dimensional map. It is said that F is globally periodic if there exists some p ∈ N + such that Fp(x) = x for all x, where F k = F ◦ F k−1, k ≥ 2. The minimal p satisfying this property is called the period of F. Given a m-dimensional parametric family of maps, say Fλ, a problem of current interest is to determine all the values of λ such that Fλ is globally periodic, together with their corresponding periods. The aim of this paper is to show some techniques that we use to face this question, as well as some recent results that we have obtained. We will focus on proving the equivalence of the problem with the complete integrability of the dynamical system induced by the map F, and related issues; on the use of the local linearization given by the Bochner Theorem; and on the use the Normal Form theory. We also present some open questions in this setting.

• Periodic orbits of planar integrable birational maps

Mañosa Fernández, Víctor
Date: 2013-09-03
Report

A birational planar map F possessing a rational first integral, preserves a foliation of the plane given by algebraic curves which, in the case that F is not globally periodic, generically is given by a foliation of conics or elliptic curves. In the latter case, the group structure of the elliptic foliation characterizes the dynamics of any birational map preserving it. We will see how to take advantage of this structure for searching periodic orbits of such maps.

• Spectral properties of the connectivity matrix and the SIS-epidemic threshold for mid-size metapopulations

Juher Barrot, David; Mañosa Fernández, Víctor
Date: 2013-05-10
Report

We consider the spread of an infectious disease on a heterogeneous metapopulation defined by any (correlated or uncorrelated) network. The infection evolves under transmission, recovering and migration mechanisms. We study some spectral properties of a connectivity matrix arising from the continuous-time equations of the model. In particular we show that the classical sufficient condition of instability for the disease-free equilibrium, well known for the particular case of uncorrelated networks, works also for the general case. We give also an alternative condition that yields a more accurate estimation of the epidemic threshold for correlated (either assortative or dissortative) networks.

We consider the spread of an infectious disease on a heterogeneous metapopulation deﬁned by any (correlated or uncorrelated) network. The infection evolves under transmission, recovering and migration mechanisms. We study some spectral properties of a connectivity matrix arising from the continuous-time equations of the model. In particular we show that the classical sufﬁcient condition of instability for the disease-free equilibrium, well known for the particular case of uncorrelated networks, works also for the general case. We give also an alternative condition that yields a more accurate estimation of the epidemic threshold for correlated (either assortative or dissortative) networks

• Basin of attraction of triangular maps with applications

Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor
Date: 2013-07-25
Report

We consider some planar triangular maps. These maps preserve certain fibration of the plane. We assume that there exists an invariant attracting fiber and we study the limit dynamics of those points in the basin of attraction of this invariant fiber, assuming that either it contains a global attractor, or it is filled by fixed or $2$-periodic points. Finally, we apply our results to a variety of examples, from particular cases of triangular systems to some planar quasi-homogeneous maps, and some multiplicative and additive difference equations, as well.

We consider some planar triangular maps. These maps preserve certain fibration of the plane. We assume that there exists an invariant attracting fiber and we study the limit dynamics of those points in the basin of attraction of this invariant fiber, assuming that either it contains a global attractor, or it is filled by fixed or 2-periodic points. Finally, we apply our results to a variety of examples, from particular cases of triangular systems to some planar quasi-homogeneous maps, and some multiplicative and additive difference equations, as well.

• Non-autonomous two periodic Gumovski-Mira difference equations

Cima, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor
International journal of bifurcation and chaos
Date of publication: 2012-12
Journal article

We consider two types of nonautonomous two-periodic Gumovski–Mira difference equations. We show that while the corresponding autonomous recurrences are conjugated, the behavior of the sequences generated by the two-periodic ones differ dramatically: in one case the behavior of the sequences is simple (integrable) and in the other case it is much more complicated (chaotic). We also present a global study of the integrable case that includes which periods appear for the recurrence.

Postprint (author’s final draft)

• On 2- and 3-periodic Lyness difference equations

Cima, Anna; Gasull, Armengol; Mañosa Fernández, Víctor
Journal of difference equations and applications
Date of publication: 2012-05-11
Journal article

We describe the sequences {xn}n given by the non-autonomous second-order Lyness difference equations xnþ2 ¼ ðan þ xnþ1Þ=xn, where {an}n is either a 2-periodic or a 3- periodic sequence of positive values and the initial conditions x1; x2 are also positive. We also show an interesting phenomenon of the discrete dynamical systems associated with some of these difference equations: the existence of one oscillation of their associated rotation number functions. This behaviour does not appear for the autonomous Lyness difference equations

Postprint (author’s final draft)

This is an electronic version of an article published in "Anna Cima, Armengol Gasull & Vííctor Maññosa (2011): On 2- and 3- periodic Lyness difference equations, Journal of Difference Equations and Applications,2012, 18,5,849-864 DOI:10.1080/10236198.2010.524212"

• Rational periodic sequences for the Lyness recurrence

Gasull, Armengol; Mañosa Fernández, Víctor; Xarles Ribas, Xavier
Discrete and continuous dynamical systems. Series A
Date of publication: 2012-02-01
Journal article

• Periodic orbits of integrable birational maps on the plane: blending dynamics and algebraic geometry, the Lyness' case

Mañosa Fernández, Víctor
New Trends in Dynamical Systems
Presentation's date: 2012-10-04
Presentation of work at congresses

• On periodic solutions of 2-periodic Lyness difference equations

Bastien, Guy; Mañosa Fernández, Víctor; Rogalski, Marc
International Conference on Difference Equations and Applications
Presentation's date: 2012-07-27
Presentation of work at congresses

• Análisis e identificación de sistemas con histéresis usando órbitas periódicas

Pujol Vazquez, Gisela; Mañosa Fernández, Víctor; Giri, F.; Fuad, Mohammad; Ikhouane, Fayçal
Participation in a competitive project

• Periodic orbits of integrable birational maps on the plane: blending dynamics and algebraic geometry, the Lyness' case

Bastien, Guy; Mañosa Fernández, Víctor; Rogalski, Marc
Date: 2012-10
Report

Contingut del Pòster presentat al congrés New Trends in Dynamical Systems

• On periodic solutions of 2-periodic Lyness difference equations

Bastien, Guy; Mañosa Fernández, Víctor; Rogalski, Marc
Date: 2012-01-04
Report

We study the existence of periodic solutions of the non--autonomous periodic Lyness' recurrence u_{n+2}=(a_n+u_{n+1})/u_n, where {a_n} is a cycle with positive values a,b and with positive initial conditions. It is known that for a=b=1 all the sequences generated by this recurrence are 5-periodic. We prove that for each pair (a,b) different from (1,1) there are infinitely many initial conditions giving rise to periodic sequences, and that the family of recurrences have almost all the even periods. If a is not equal to b, then any odd period, except 1, appears.

• A presentation on periodic solutions of 2-periodic Lyness difference equations

Bastien, Guy; Mañosa Fernández, Víctor; Rogalski, Marc
Date: 2012-07-27
Report

PDF amb el contingut de la presentació al 18th ICDEA de Barcelona

• Integrability and non-integrability of periodic non-autonomous Lyness recurrences (revised and enlarged version)

Cima, Anna; Gasull, Armengol; Mañosa Fernández, Víctor
Date: 2012-12-22
Report

This paper studies non-autonomous Lyness type recurrences of the form xn+2 = (an+xn+1)=xn, where fang is a k-periodic sequence of positive numbers with primitive period k. We show that for the cases k 2 f1; 2; 3; 6g the behavior of the sequence fxng is simple (integrable) while for the remaining cases satisfying this behavior can be much more complicated (chaotic). We also show that the cases where k is a multiple of 5 present some di erent features.

• Global periodicity conditions for maps and recurrences via Normal Forms

Cima, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor
Date: 2012-05-04
Report

We face the problem of characterizing the periodic cases in parametric families of (real or complex) rational diffeomorphisms having a fixed point. Our approach relies on the Normal Form Theory, to obtain necessary conditions for the existence of a formal linearization of the map, and on the introduction of a suitable rational parametrization of the parameters of the family. Using these tools we can find a finite set of values p for which the map can be p-periodic, reducing the problem of finding the parameters for which the periodic cases appear to simple computations. We apply our results to several two and three dimensional classes of polynomial or rational maps. In particular we find the global periodic cases for several Lyness type recurrences

• Decentralized H-infinity control of systems with information structure constraints

Rossell Garriga, Josep Maria; Palacios Quiñonero, Francisco; Luo, Ningsu; Mañosa Fernández, Víctor
Workshop on Control Dynamics, Monitoring and Applications
Presentation's date: 2011-02-07
Presentation of work at congresses

The paper deals with a class of continuous-time statedelayed uncertain systems considering H-infinity control. The main objective is to design static output feedback controllers satisfying three requirements simultaneously: asymptotic stability for the closed-loop system, a minimum effect of the disturbance input on the controlled output, and the obtention of a gain matrix having an arbitrarily preassigned zerononzero structure. To solve this problem, a linear matrix inequality (LMI) delay-independent approach is derived. A numerical example illustrates the effectiveness of the proposed method

• Non autonomous 2-periodic Gumovski-Mira difference equations

Cima, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor
Date: 2011-06-01
Report

We consider two types of non-autonomous 2-periodic Gumovski-Mira difference equations. We show that while the corresponding autonomous recurrences are conjugated, the behavior of the sequences generated by the 2-periodic ones di er dramatically: in one case the behavior of the sequences is simple (integrable) and in the other case it is much more complicated (chaotic). We also present a global study of the integrable case that includes which periods appear for the recurrence.

• On Poncelet's maps

Cima, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor
Computers & mathematics with applications
Date of publication: 2010-08-08
Journal article

Given two ellipses, one surrounding the other one, Poncelet introduced a map P from the exterior one to itself by using the tangent lines to the interior ellipse. This procedure can be extended to any two smooth, nested and convex ovals and we call this type of maps, Poncelet’s maps. We recall what he proved around 1814 in the dynamical systems language: In the two ellipses case and when the rotation number of P is rational there exists a n ∈ N such that Pn = Id, or in other words, the Poncelet’s map is conjugate to a rational rotation. In this paper we study general Poncelet’s maps and give several examples of algebraic ovals where the corresponding Poncelet’s map has a rational rotation number and it is not conjugate to a rotation. Finally, we also provide a new proof of Poncelet’s result based on dynamical and computational tools.

Postprint (author’s final draft)

Jorba ., Angel; Mañosa Fernández, Víctor
Participation in a competitive project

• Integrability and non-integrability of periodic non-autonomous Lyness recurrences

Cima, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor
Date: 2010-12-22
Report

This paper studies non-autonomous Lyness type recurrences of the form x_{n+2}=(a_n+x_n)/x_{n+1}, where a_n is a k-periodic sequence of positive numbers with prime period k. We show that for the cases k in {1,2,3,6} the behavior of the sequence x_n is simple(integrable) while for the remaining cases satisfying k not a multiple of 5 this behavior can be much more complicated(chaotic). The cases k multiple of 5 are studied separately.

• Rational periodic sequences for the Lyness recurrence

Gasull Embid, Armengol; Mañosa Fernández, Víctor; Xarles Ribas, Xavier
Date: 2010-04-30
Report

Consider the celebrated Lyness recurrence $x_{n+2}=(a+x_{n+1})/x_{n}$ with $a\in\Q$. First we prove that there exist initial conditions and values of $a$ for which it generates periodic sequences of rational numbers with prime periods $1,2,3,5,6,7,8,9,10$ or $12$ and that these are the only periods that rational sequences $\{x_n\}_n$ can have. It is known that if we restrict our attention to positive rational values of $a$ and positive rational initial conditions the only possible periods are $1,5$ and $9$. Moreover 1-periodic and 5-periodic sequences are easily obtained. We prove that for infinitely many positive values of $a,$ positive 9-period rational sequences occur. This last result is our main contribution and answers an open question left in previous works of Bastien \& Rogalski and Zeeman. We also prove that the level sets of the invariant associated to the Lyness map is a two-parameter family of elliptic curves that is a universal family of the elliptic curves with a point of order $n, n\ge5,$ including $n$ infinity. This fact implies that the Lyness map is a universal normal form for most birrational maps on elliptic curves.

• On Poncelet-type maps.

Mañosa Fernández, Víctor
International Conference on Difference Equations and Applications
Presentation's date: 2009-10-22
Presentation of work at congresses

• CONTROL DESCENTRALIZADO DE SISTEMAS EN RED A GRAN ESCALA CON INCERTIDUMBRES Y RETARDOS

Palacios Quiñonero, Francisco; Mañosa Fernández, Víctor; Rossell Garriga, Josep Maria
Participation in a competitive project

• CONTROL, DINÀMICA I APLICACIONS (CODALAB)

Mantecon Baena, Juan Antonio; Gharibnezhad, Fahit; Acho Zuppa, Leonardo; Ikhouane, Fayçal; Rubió Massegú, Josep; Vidal Segui, Yolanda; Rossell Garriga, Josep Maria; Palacios Quiñonero, Francisco; Pujol Vazquez, Gisela; Pozo Montero, Francesc; Tibaduiza Burgos, Diego Alexander; Mañosa Fernández, Víctor; Mujica Delgado, Luis Eduardo; Galvis Restrepo, Eduard; Ismail Abdelkareem Moustafa, Mohammed; Rodellar Benede, Jose Julian
Participation in a competitive project

• On two and three periodic Lyness difference equations

Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor
Date: 2009-12-26
Report

We describe the sequences {x_n}_n given by the non-autonomous second order Lyness difference equations x_{n+2}=(a_n+x_{n+1})/x_n, where {a_n}_n is either a 2-periodic or a 3-periodic sequence of positive values and the initial conditions x_1,x_2 are as well positive. We also show an interesting phenomenon of the discrete dynamical systems associated to some of these difference equations: the existence of one oscillation of their associated rotation number functions. This behavior does not appear for the autonomous Lyness difference equations.

• Identification of one-parameter bifurcations giving rise to periodic orbits, from their period function

Gasull Embid, Armengol; Mañosa Fernández, Víctor; Villadelprat Yagüe, Jordi
International Workshop on Dynamics and Control
Presentation's date: 2009-06-01
Presentation of work at congresses

• Some properties of the k-dimensional Lyness' map

Cima, A; Gasull, A; Mañosa Fernández, Víctor
Journal of physics A. Mathematical and theoretical
Date of publication: 2008-06
Journal article

• Studying discrete dynamical systems through differential equations

Cima, A; Gasull, A; Mañosa Fernández, Víctor
Journal of differential equations
Date of publication: 2008-02
Journal article

• A note on globally periodic maps and integrability

Mañosa Fernández, Víctor
Journal of difference equations and applications
Date of publication: 2008-06
Journal article

• Control descentralizado de sistemas en red a gran escala con incertidumbres y retardos (proyecto coordinado)

Rossell Garriga, Josep Maria; Mañosa Fernández, Víctor
Participation in a competitive project

• On Poncelet's maps

Cima, A; Mañosa Fernández, Víctor; Gasull, A
Date: 2008-12
Report

• Global dynamics of discrete systems through Lie Symmetries.

Mañosa Fernández, Víctor
Mathematical models in engeneering, biology and medecine. Conference on boundary value problems.
Presentation's date: 2008-09-01
Presentation of work at congresses

• Estudio de sistemas dinámicos discretos vía ecuaciones diferenciales

Mañosa Fernández, Víctor
NoLineal 2008
Presentation's date: 2008-06-16
Presentation of work at congresses

• Normal forms for rational difference equations with applications to the global periodicity problem

Rubió-Massegú, J; Rubió Massegú, Josep; Mañosa Fernández, Víctor
Journal of mathematical analysis and applications
Date of publication: 2007-08
Journal article

• Dynamics of the third order Lyness' difference equation

Cima, A; Gasull, A; Mañosa Fernández, Víctor
Journal of difference equations and applications
Date of publication: 2007-10
Journal article

• On the enveloping method and the existence of global Lyapunov functions

Rubió-Massegú, J; Rubió Massegú, Josep; Mañosa Fernández, Víctor
Journal of difference equations and applications
Date of publication: 2007-11
Journal article

• Dynamic properties of the hysteretic Bouc-Wen model

Ikhouane, Fayçal; Mañosa Fernández, Víctor; Rodellar Benede, Jose Julian
Systems & control letters
Date of publication: 2007-03
Journal article

• Dynamics of some rational discrete dynamical systems via invariants

Cima, A; Gasull, A; Mañosa Fernández, Víctor
International journal of bifurcation and chaos
Date of publication: 2006-05
Journal article

• Global periodicity and complete integrability of discrete dynamical systems

Cima, A; Gasull, A; Mañosa Fernández, Víctor
Journal of difference equations and applications
Date of publication: 2006-07
Journal article

• On the period of the limit cycles appearing in one-parameter bifurcations

Gasull, A; Mañosa Fernández, Víctor; Villadelprat, J
Journal of differential equations
Date of publication: 2005-06
Journal article

• Adaptive control of a hysteretic structural system

Ikhouane, Fayçal; Mañosa Fernández, Víctor; Rodellar Benede, Jose Julian
Automatica
Date of publication: 2005-02
Journal article

• Control of uncertain non-linear systems via adaptive backstepping

Mañosa Fernández, Víctor; Ikhouane, Fayçal; Rodellar Benede, Jose Julian
Journal of sound and vibration
Date of publication: 2005-02
Journal article