DELAYED BIFURCATION IN FIRST-ORDER SINGULARLY PERTURBED PROBLEMS WITH A NONGENERIC TURNING POINT

DOI10.1142/S0218127412503026zbMath1258.34135OpenAlexW2036818445MaRDI QIDQ4908412

Jianhe Shen, Mao'an Han

Publication date: 5 March 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127412503026

zbMATH Keywords

upper and lower solutionssingularly perturbed problemdelayed bifurcationnongeneric turning point

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Singular perturbations for ordinary differential equations (34E15)

Cites Work

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• More limit cycles than expected in Liénard equations
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• Relaxation oscillations including a standard chase on French ducks
• TIME-DEPENDENT BIFURCATION: A NEW METHOD AND APPLICATIONS
• Relaxation oscillation and canard explosion

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