Bifurcation of limit cycles in a piecewise smooth near-integrable system
DOI10.1016/j.jmaa.2021.125578zbMath1483.34055OpenAlexW3195575841MaRDI QIDQ2050918
Xinyu Shang, Yun Tian, Mao'an Han
Publication date: 1 September 2021
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125578
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Upper bounds for the number of zeroes for some abelian integrals
- Uniqueness and non-uniqueness of limit cycles for piecewise linear differential systems with three zones and no symmetry
- Limit cycle bifurcations for piecewise smooth integrable differential systems
- Global bifurcation of limit cycles in a family of polynomial systems
- Limit cycles appearing from the perturbation of a system with a multiple line of critical points
- Bifurcation methods of periodic orbits for piecewise smooth systems
- Non-smooth dynamical systems
- Limit cycles in planar piecewise linear differential systems with nonregular separation line
- Averaging theory of arbitrary order for piecewise smooth differential systems and its application
- On the birth of limit cycles for non-smooth dynamical systems
- At most two limit cycles in a piecewise linear differential system with three zones and asymmetry
- Hopf bifurcation of limit cycles by perturbing piecewise integrable systems
- Phase portraits of continuous piecewise linear Liénard differential systems with three zones
- Bifurcation of limit cycles in a family of piecewise smooth systems via averaging theory
- The number of limit cycles from a cubic center by the Melnikov function of any order
- A linear estimate of the number of limit cycles for some planar piecewise smooth quadratic differential system
- Piecewise-smooth dynamical systems. Theory and applications
- Limit cycle bifurcations in perturbations of planar piecewise smooth systems with multiply lines of critical points
- Limit cycles of a perturbed cubic polynomial differential center
- Up to second order Melnikov functions for general piecewise Hamiltonian systems with nonregular separation line
- More Than Three Limit Cycles in Discontinuous Piecewise Linear Differential Systems with Two Zones in the Plane
- BIFURCATION OF LIMIT CYCLES BY PERTURBING PIECEWISE HAMILTONIAN SYSTEMS
- Centennial History of Hilbert's 16th Problem
- HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
- Limit Cycles in Planar Piecewise Linear Hamiltonian Systems with Three Zones Without Equilibrium Points
- BIFURCATION OF LIMIT CYCLES IN PIECEWISE SMOOTH SYSTEMS VIA MELNIKOV FUNCTION
- A Simple Solution to the Braga–Mello Conjecture
- Averaging analysis of a perturbated quadratic center
This page was built for publication: Bifurcation of limit cycles in a piecewise smooth near-integrable system