Local cyclicity and criticality in FF-type piecewise smooth cubic and quartic Kukles systems
DOI10.1016/j.nonrwa.2022.103565zbMath1506.34044OpenAlexW4221135460MaRDI QIDQ2147477
Junning Cai, Dongping He, Wen-tao Huang
Publication date: 20 June 2022
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2022.103565
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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the number of limit cycles in general planar piecewise linear systems
- Degenerate Hopf bifurcations in a family of FF-type switching systems
- Isochronicity of centers in a switching Bautin system
- Eighteen limit cycles around two symmetric foci in a cubic planar switching polynomial system
- Decomposition of algebraic sets and applications to weak centers of cubic systems
- On Hopf bifurcation in non-smooth planar systems
- Center-focus and isochronous center problems for discontinuous differential equations.
- Weak centers and bifurcation of critical periods in reversible cubic systems
- Conditions for the existence of a center for the Kukles homogeneous systems
- Bifurcation analysis on a class of \(Z_{2}\)-equivariant cubic switching systems showing eighteen limit cycles
- Bi-center conditions and local bifurcation of critical periods in a switching \(Z_2\) equivariant cubic system
- The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems
- Bifurcation of limit cycles at infinity in piecewise polynomial systems
- New lower bound for the Hilbert number in piecewise quadratic differential systems
- Limit cycles and invariant curves in a class of switching systems with degree four
- Cubic systems of nonlinear oscillations with seven limit cycles
- Small amplitude limit cycles and local bifurcation of critical periods for a quartic Kolmogorov system
- Center and isochronous center conditions for switching systems associated with elementary singular points
- A note on the paper ``Center and isochronous center conditions for switching systems associated with elementary singular points
- Center conditions in a switching Bautin system
- AN APPLICATION OF REGULAR CHAIN THEORY TO THE STUDY OF LIMIT CYCLES
- BIFURCATION OF LIMIT CYCLES AND ISOCHRONOUS CENTERS FOR A QUARTIC SYSTEM
- Finiteness theorems for limit cycles
- Global properties of continuous piecewise linear vector fields. Part I: Simplest case in ℝ2
- The Center and Cyclicity Problems
- Generalized Hopf bifurcations and applications to planar quadratic systems
- Bifurcation of Critical Periods for Plane Vector Fields
- Local Bifurcations of Critical Periods in the Reduced Kukles System
- HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
- Center-Focus Problem for Discontinuous Planar Differential Equations
- Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
- Canonical Discontinuous Planar Piecewise Linear Systems
- Isochronicity of a class of piecewise continuous oscillators
- THE CENTER PROBLEM FOR DISCONTINUOUS LIÉNARD DIFFERENTIAL EQUATION
- Degenerate Hopf bifurcations in discontinuous planar systems
This page was built for publication: Local cyclicity and criticality in FF-type piecewise smooth cubic and quartic Kukles systems