Bifurcation Analysis in a Class of Piecewise Nonlinear Systems with a Nonsmooth Heteroclinic Loop

DOI10.1142/S0218127418500268zbMath1386.34071OpenAlexW2789386266WikidataQ130079062 ScholiaQ130079062MaRDI QIDQ4608928

No author found.

Publication date: 29 March 2018

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

Full work available at URL: https://doi.org/10.1142/s0218127418500268

zbMATH Keywords

limit cycleheteroclinic orbitMelnikov functionHamiltonian systemnilpotent singular point

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Discontinuous ordinary differential equations (34A36) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (2)

Near-ordinary periodic waves of a generalized reaction-convection-diffusion equation ⋮ Limit cycle bifurcations of piecewise smooth near-Hamiltonian systems with a switching curve

Cites Work

• Limit cycle bifurcations near generalized homoclinic loop in piecewise smooth differential systems
• Limit cycle bifurcations in a class of perturbed piecewise smooth systems
• Local Langlands duality and a duality of conformal field theories
• Limit cycles for perturbing a piecewise linear Hamiltonian system with one or two saddles
• Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system with a homoclinic loop
• Study of a piecewise linear dynamic system with negative and positive stiffness
• On Hopf bifurcation in non-smooth planar systems
• Non-smooth dynamical systems
• State transition graph and stability of singular equilibria for piecewise linear biological models
• Piecewise linear differential systems with two real saddles
• Piecewise-smooth dynamical systems. Theory and applications
• Limit cycle bifurcations by perturbing a cuspidal loop in a Hamiltonian system
• BIFURCATION OF LIMIT CYCLES BY PERTURBING PIECEWISE HAMILTONIAN SYSTEMS
• The Melnikov Method and Subharmonic Orbits in a Piecewise-Smooth System
• Limit Cycle Bifurcations Near a Piecewise Smooth Generalized Homoclinic Loop with a Saddle-Fold Point
• Limit cycles for a class of discontinuous planar quadratic differential system
• Introduction to the Qualitative Theory of Differential Systems
• Analysis of continuous-time switching networks

This page was built for publication: Bifurcation Analysis in a Class of Piecewise Nonlinear Systems with a Nonsmooth Heteroclinic Loop