Limit cycles in planar continuous piecewise linear systems

DOI10.1016/j.cnsns.2016.12.006OpenAlexW2559924465MaRDI QIDQ2005270

Yuan Yue, Denghui Li, Hebai Chen, Jian-Hua Xie

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.12.006

zbMATH Keywords

bifurcationlimit cycleperiodic orbitpiecewise linear system

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX) Ordinary differential equations (34-XX)

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Cites Work

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• Chaos synchronization for master slave piecewise linear systems: application to Chua's circuit
• Uniqueness and non-uniqueness of limit cycles for piecewise linear differential systems with three zones and no symmetry
• Piecewise-smooth dynamical systems. Theory and applications
• Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane
• On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry
• Planar systems of piecewise linear differential equations with a line of discontinuity
• Global Dynamics of Memristor Oscillator
• Neuronal Networks with Gap Junctions: A Study of Piecewise Linear Planar Neuron Models
• Phase portraits of planar control systems
• Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
• Understanding cardiac alternans: A piecewise linear modeling framework
• Limit Cycle and Boundary Equilibrium Bifurcations in Continuous Planar Piecewise Linear Systems
• MEMRISTOR OSCILLATORS
• On simplifying and classifying piecewise-linear systems
• LIMIT CYCLE BIFURCATION FROM CENTER IN SYMMETRIC PIECEWISE-LINEAR SYSTEMS
• Piecewise linear approach to an archetypal oscillator for smooth and discontinuous dynamics