Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs

Iouri Aleksandrovitsj Kouznetsov; Hil Gaétan Ellart Meijer; W. Govaerts; B. Sautois

doi:10.1016/j.physd.2008.06.006

Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs

Iouri Aleksandrovitsj Kouznetsov, Hil Gaétan Ellart Meijer, W. Govaerts, B. Sautois

Research output: Contribution to journal › Article › Academic › peer-review

9 Citations (Scopus)

Abstract

The paper provides full algorithmic details on switching to the continuation of all possible codim 1 cycle bifurcations from generic codim 2 equilibrium bifurcation points in n-dimensional ODEs. We discuss the implementation and the performance of the algorithm in several examples, including an extended Lorenz-84 model and a laser system.

Original language	Undefined
Article number	10.1016/j.physd.2008.06.006
Pages (from-to)	3061-3068
Number of pages	8
Journal	Physica D
Volume	237
Issue number	1/23
DOIs	https://doi.org/10.1016/j.physd.2008.06.006
Publication status	Published - 2008

Keywords

MSC-37L10
IR-62492
MSC- 37M20
EWI-13857
METIS-252078

Access to Document

10.1016/j.physd.2008.06.006

http://eprints.eemcs.utwente.nl/secure2/13857/01/Cycle-Switch-KMGS-PhysD-2008.pdf

Cite this

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title = "Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs",

abstract = "The paper provides full algorithmic details on switching to the continuation of all possible codim 1 cycle bifurcations from generic codim 2 equilibrium bifurcation points in n-dimensional ODEs. We discuss the implementation and the performance of the algorithm in several examples, including an extended Lorenz-84 model and a laser system.",

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T1 - Switching to nonhyperbolic cycles from codim 2 bifurcations of equilibria in ODEs

AU - Kouznetsov, Iouri Aleksandrovitsj

AU - Meijer, Hil Gaétan Ellart

AU - Govaerts, W.

AU - Sautois, B.

N1 - 10.1016/j.physd.2008.06.006

PY - 2008

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AB - The paper provides full algorithmic details on switching to the continuation of all possible codim 1 cycle bifurcations from generic codim 2 equilibrium bifurcation points in n-dimensional ODEs. We discuss the implementation and the performance of the algorithm in several examples, including an extended Lorenz-84 model and a laser system.

KW - MSC-37L10

KW - IR-62492

KW - MSC- 37M20

KW - EWI-13857

KW - METIS-252078

U2 - 10.1016/j.physd.2008.06.006

DO - 10.1016/j.physd.2008.06.006

M3 - Article

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EP - 3068

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