Bifurcations of Canard limit cycles in several singularly perturbed generalized polynomial Liénard systems

DOI10.3934/dcds.2013.33.3085zbMath1277.37080OpenAlexW2326631644MaRDI QIDQ379478

Jianhe Shen, Mao'an Han

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.3085

zbMATH Keywords

bifurcation of limit cyclespolynomial Liénard systemHopf and jump mechanismslimit periodic setslow divergence integral

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Canard solutions to ordinary differential equations (34E17)

Related Items (8)

Canard limit cycles and global dynamics in a singularly perturbed predator-prey system with non-monotonic functional response ⋮ On the Number of Limit Cycles for Discontinuous Generalized Liénard Polynomial Differential Systems ⋮ Relaxation oscillations in a slow-fast predator-prey model with weak Allee effect and Holling-IV functional response ⋮ Singular perturbations of generalized Holling type III predator-prey models with two canard points ⋮ Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line ⋮ Phase portraits of the quadratic polynomial Liénard differential systems ⋮ Canards and homoclinic orbits in a slow-fast modified May-Holling-Tanner predator-prey model with weak multiple allee effect ⋮ Planar canards with transcritical intersections

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