Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system

DOI10.1155/2013/575390zbMath1274.34119OpenAlexW2067856853WikidataQ58917160 ScholiaQ58917160MaRDI QIDQ5917928

Yanqin Xiong, Mao'an Han

Publication date: 8 May 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.aaa/1393450073

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23)

Related Items (16)

Limit cycle bifurcations in a class of perturbed piecewise smooth systems ⋮ Limit Cycles Appearing From Piecewise Smooth Perturbations to a Reversible Nonlinear Center ⋮ Limit Cycle Bifurcations by Perturbing a Piecewise Hamiltonian System with a Double Homoclinic Loop ⋮ Limit cycles for perturbing a piecewise linear Hamiltonian system with one or two saddles ⋮ Limit cycle bifurcations by perturbing piecewise smooth Hamiltonian systems with multiple parameters ⋮ On the Number of Limit Cycles by Perturbing a Piecewise Smooth Liénard Model ⋮ The center problem on piecewise smooth differential systems with two zones ⋮ The Maximal Number of Limit Cycles in Perturbations of Piecewise Linear Hamiltonian Systems with Two Saddles ⋮ Heteroclinic loop bifurcations by perturbing a class of \(\mathrm{Z}_2\)-equivariant quadratic switching Hamiltonian systems with nilpotent singular points ⋮ On the number of limit cycles of a piecewise quadratic near-Hamiltonian system ⋮ Limit cycle bifurcations near homoclinic and heteroclinic loops via stability-changing of a homoclinic loop ⋮ Limit Cycles from Perturbing a Piecewise Smooth System with a Center and a Homoclinic Loop ⋮ Homoclinic bifurcations in planar piecewise-linear systems ⋮ Limit Cycles of a Kind of Nonsmooth Differential Systems with Two Switching Lines ⋮ Further study on Horozov-Iliev's method of estimating the number of limit cycles ⋮ LIMIT CYCLE BIFURCATIONS IN DISCONTINUOUS PLANAR SYSTEMS WITH MULTIPLE LINES

Cites Work

• Unnamed Item
• Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system with a homoclinic loop
• Limit cycles and chaotic invariant sets in autonomous hybrid planar systems
• Non-smooth dynamical systems
• Hopf bifurcation of limit cycles in discontinuous Liénard systems
• Piecewise-smooth dynamical systems. Theory and applications
• Limit cycles near generalized homoclinic and double homoclinic loops in piecewise smooth systems
• BIFURCATION OF LIMIT CYCLES BY PERTURBING PIECEWISE HAMILTONIAN SYSTEMS

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