Bifurcation Analysis for a Class of Cubic Switching Systems
DOI10.1142/S0218127422500730zbMath1505.34061OpenAlexW4224433880MaRDI QIDQ5072446
Xiangyu Wang, Laigang Guo, Yusen Wu
Publication date: 28 April 2022
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127422500730
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) Discontinuous ordinary differential equations (34A36)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Limit cycles bifurcate from centers of discontinuous quadratic systems
- New results on the study of \(Z_q\)-equivariant planar polynomial vector fields
- Isochronicity of centers in a switching Bautin system
- Normal forms, Melnikov functions and bifurcations of limit cycles
- Andronov-Hopf bifurcations in planar, piecewise-smooth, continuous flows
- Eighteen limit cycles around two symmetric foci in a cubic planar switching polynomial system
- Generalized Hopf bifurcation for planar Filippov systems continuous at the origin
- Melnikov method for discontinuous planar systems
- A class of cubic differential systems with 6-tuple focus
- On Hopf bifurcation in non-smooth planar systems
- A cubic system with thirteen limit cycles
- Mechanical manipulation for a class of differential systems
- Bifurcation analysis on a class of \(Z_{2}\)-equivariant cubic switching systems showing eighteen limit cycles
- New lower bound for the Hilbert number in piecewise quadratic differential systems
- Concurrent homoclinic bifurcation and Hopf bifurcation for a class of planar Filippov systems
- 24 crossing limit cycles in only one nest for piecewise cubic systems
- Center and isochronous center conditions for switching systems associated with elementary singular points
- Center conditions in a switching Bautin system
- Center-Focus Problem for Discontinuous Planar Differential Equations
- FOUR LIMIT CYCLES FROM PERTURBING QUADRATIC INTEGRABLE SYSTEMS BY QUADRATIC POLYNOMIALS
- THE CENTER PROBLEM FOR DISCONTINUOUS LIÉNARD DIFFERENTIAL EQUATION
- Degenerate Hopf bifurcations in discontinuous planar systems
This page was built for publication: Bifurcation Analysis for a Class of Cubic Switching Systems
