Global dynamics of a planar piecewise linear refracting system of node-node types
type: Item
instance of: scholarly article
title: Global dynamics of a planar piecewise linear refracting system of node-node types
zbMATH Open document ID: 1544.34044
author: Hefei Zhao
author: Kuilin Wu
author: Yi Shao
published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
publication date: 2024-05-14T00:00:00Z
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34A36
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 34C07
zbMATH DE Number: 7847212
zbMATH Keywords: refracting system
zbMATH Keywords: limit cycle
zbMATH Keywords: phase portrait
zbMATH Keywords: heteroclinic loop
MaRDI profile type: Publication
cites work: Generic bifurcation of refracted systems
cites work: Phase portraits of planar semi-homogeneous vector fields-I
cites work: Phase portraits of planar semi-homogeneous vector fields. II
cites work: The classification on the global phase portraits of two-dimensional Lotka-Volterra system
cites work: Degenerate Hopf bifurcations in discontinuous planar systems
cites work: Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane
cites work: Grazing, skipping and sliding: Analysis of the non-smooth dynamics of the DC/DC buck converter
cites work: Piecewise-smooth dynamical systems. Theory and applications
cites work: A piece wise linear suspension bridge model: nonlinear dynamics and orbit continuation
cites work: Qualitative theory of planar differential systems
cites work: Q3994508
cites work: Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
cites work: Canonical Discontinuous Planar Piecewise Linear Systems
cites work: A general mechanism to generate three limit cycles in planar Filippov systems with two zones
cites work: The discontinuous matching of two planar linear foci can have three nested crossing limit cycles
cites work: On Hopf bifurcation in non-smooth planar systems
cites work: Existence of limit cycles in general planar piecewise linear systems of saddle-saddle dynamics
cites work: On the number of limit cycles in general planar piecewise linear systems of node-node types
cites work: Global phase portraits of uniform isochronous centers with quartic homogeneous polynomial nonlinearities
cites work: Phase portraits of planar piecewise linear refracting systems: focus-saddle case
cites work: Crossing periodic orbits of nonsmooth Liénard systems and applications
cites work: The planar discontinuous piecewise linear refracting systems have at most one limit cycle
cites work: Limit cycles and global dynamics of planar piecewise linear refracting systems of focus-focus type
cites work: Q4923485
cites work: Limit Cycles Bifurcating from the Periodic Orbits of a Discontinuous Piecewise Linear Differentiable Center with Two Zones
cites work: Global properties of continuous piecewise linear vector fields. Part I: Simplest case in ℝ2
cites work: Uniqueness of limit cycles for sewing planar piecewise linear systems
cites work: Global phase portraits of planar piecewise linear refracting systems of saddle-saddle type
cites work: Q5793672
cites work: Global phase portraits and bifurcation diagrams for Hamiltonian systems of linear plus quartic homogeneous polynomials symmetric with respect to the \(y\)-axis
cites work: The number and stability of limit cycles for planar piecewise linear systems of node-saddle type
cites work: Discontinuity-induced limit cycles in a general planar piecewise linear system of saddle-focus type
cites work: Generalized Hopf bifurcation for planar Filippov systems continuous at the origin
DOI: 10.1142/S0218127422502017
description: scientific article; zbMATH DE number 7847212