Numerical Continuation of Bifurcations of Limit Cycles in MATLAB

DOI10.1137/030600746zbMath1087.65118OpenAlexW2027333056MaRDI QIDQ5693195

Willy Govaerts, Yuri A. Kuznetsov, Annick Dhooge

Publication date: 22 September 2005

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/030600746

zbMATH Keywords

flip numerical examples limit cycle nonlinear dynamical systems torus bifurcation fold orthogonal collocation limit points Hopf points MATCONT sparse matrix routines MATLAB package CL\_MATCONT interactive graphical package

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Numerical methods for initial value problems involving ordinary differential equations (65L05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30) Packaged methods for numerical algorithms (65Y15)

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