Twenty-Six Crossing Limit Cycles Around One Singular Point in a Cubic Switching System

DOI10.1142/S0218127422501589MaRDI QIDQ5043879

No author found.

Publication date: 6 October 2022

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

zbMATH Keywords

limit cycleLyapunov constantcubic switching system

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) 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
• Piecewise linear perturbations of a linear center
• On the number of limit cycles in general planar piecewise linear systems
• Degenerate Hopf bifurcations in a family of FF-type switching systems
• Bifurcation methods of periodic orbits for piecewise smooth systems
• Eighteen limit cycles around two symmetric foci in a cubic planar switching polynomial system
• On Hopf bifurcation in non-smooth planar systems
• Remarks on ``The classification of reversible cubic systems with center
• Non-smooth dynamical systems
• Centers and isochronous centers of a class of quasi-analytic switching systems
• The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems
• Bifurcation of small limit cycles in cubic integrable systems using higher-order analysis
• New lower bound for the Hilbert number in piecewise quadratic differential systems
• Averaging theory of arbitrary order for piecewise smooth differential systems and its application
• On the birth of limit cycles for non-smooth dynamical systems
• Local cyclicity in low degree planar piecewise polynomial vector fields
• 24 crossing limit cycles in only one nest for piecewise cubic systems
• Twelve limit cycles around a singular point in a planar cubic-degree polynomial system
• Averaging theory for discontinuous piecewise differential systems
• Center conditions in a switching Bautin system
• A general mechanism to generate three limit cycles in planar Filippov systems with two zones
• Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane
• Limit cycles of discontinuous piecewise quadratic and cubic polynomial perturbations of a linear center
• 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
• Center-Focus Problem for Discontinuous Planar Differential Equations
• BIFURCATION OF LIMIT CYCLES IN PIECEWISE SMOOTH SYSTEMS VIA MELNIKOV FUNCTION
• Degenerate Hopf bifurcations in discontinuous planar systems

This page was built for publication: Twenty-Six Crossing Limit Cycles Around One Singular Point in a Cubic Switching System