Coexisting two canards and their breakdown into chaos in the Van der pol oscillator under weak periodic perturbation

DOI10.1016/j.physleta.2006.11.039zbMath1197.34102OpenAlexW2036757586MaRDI QIDQ601487

Naohiko Inaba, Munehisa Sekikawa, Kazuyuki Aihara

Publication date: 28 October 2010

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.11.039

zbMATH Keywords

chaosbifurcationcanardtwo coexisting stable canards

Mathematics Subject Classification ID

Singular perturbations for ordinary differential equations (34E15)

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Cites Work

• Critical dynamics of the Bonhoeffer-van der Pol equation and its chaotic response to periodic stimulation
• Canard solutions of two-dimensional singularly perturbed systems
• Chaos via duck solution breakdown in a piecewise linear van der Pol oscillator driven by an extremely small periodic perturbation
• NUMERICAL COMPUTATION OF CANARDS
• Bifurcation of periodic responses in forced dynamic nonlinear circuits: Computation of bifurcation values of the system parameters
• The Forced van der Pol Equation II: Canards in the Reduced System
• Relaxation oscillation and canard explosion