Limit Cycle Bifurcations by Perturbing a Piecewise Hamiltonian System with a Double Homoclinic Loop

DOI10.1142/S0218127416501030zbMath1343.34096OpenAlexW2469511538MaRDI QIDQ3187948

Yanqin Xiong

Publication date: 5 September 2016

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

Full work available at URL: https://doi.org/10.1142/s0218127416501030

zbMATH Keywords

Liénard systemHamiltonian systempiecewisedouble homoclinic loop

Mathematics Subject Classification ID

Related Items (5)

Bifurcation of periodic orbits by perturbing high-dimensional piecewise smooth integrable systems ⋮ Bifurcation from Periodic Orbits of n-Dimensional Piecewise Smooth Differential Systems with Two Switching Planes ⋮ Bifurcation of limit cycles of the nongeneric quadratic reversible system with discontinuous perturbations ⋮ Stability and Bifurcation in a Logistic Model with Allee Effect and Feedback Control ⋮ Limit Cycles from Perturbing a Piecewise Smooth System with a Center and a Homoclinic Loop

Cites Work

• Limit cycle bifurcations in a class of perturbed piecewise smooth systems
• Limit cycle bifurcations near a generalized homoclinic loop in piecewise smooth systems with a hyperbolic saddle on a switch line
• Limit cycle bifurcations in a class of piecewise smooth systems with a double homoclinic loop
• Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system with a homoclinic loop
• Limit cycle bifurcations of some Liénard systems
• Limit cycle bifurcations by perturbing a cuspidal loop in a Hamiltonian system
• Limit cycles near generalized homoclinic and double homoclinic loops in piecewise smooth systems
• BIFURCATION OF LIMIT CYCLES BY PERTURBING PIECEWISE HAMILTONIAN SYSTEMS
• LIMIT CYCLE BIFURCATIONS NEAR A DOUBLE HOMOCLINIC LOOP WITH A NILPOTENT SADDLE
• HOPF BIFURCATIONS FOR NEAR-HAMILTONIAN SYSTEMS
• Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system

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