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Canards, folded nodes and mixed-mode oscillations in piecewise-linear slow-fast systems

Autor
Desroches, M.; Guillamon, A.; Ponce, E.; Prohens, R.; Rodrigues, S.; Teruel, A.
Tipus d'activitat
Article en revista
Revista
SIAM review
Data de publicació
2016-11-03
Volum
58
Número
4
Pàgina inicial
653
Pàgina final
691
DOI
https://doi.org/10.1137/15M1014528 Obrir en finestra nova
URL
http://epubs.siam.org/doi/10.1137/15M1014528 Obrir en finestra nova
Resum
both the mathematical and the application viewpoints. Canards in slow-fast systems with (at least) two slow variables, especially near folded-node singularities, give an essential generating mechanism for mixed-mode oscillations (MMOs) in the framework of smooth multiple timescale systems. There is a wealth of literature on such slow-fast dynamical systems and many models displaying canard-induced MMOs, particularly in neuroscience. In parallel, since the late 1990s several papers have shown tha...
Paraules clau
canard solutions, mixed-mode oscillations, piecewise-linear systems, slow-fast dynamical systems
Grup de recerca
SD - Sistemes Dinàmics de la UPC

Participants

  • Desroches, Mathieu  (autor)
  • Guillamon Grabolosa, Antoni  (autor)
  • Ponce Núñez, Enrique  (autor)
  • Prohens Sastre, Rafel  (autor)
  • Rodrigues, Serafim  (autor)
  • Teruel, Antonio E.  (autor)