Crossing limit cycles in planar piecewise linear systems separated by a nonregular line with node-node type critical points
DOI10.1142/s0218127424500494zbMATH Open1546.34028MaRDI QIDQ6538945
Publication date: 14 May 2024
Published in: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering (Search for Journal in Brave)
piecewise linear systemreturn mapcrossing limit cyclenonregular separation linenode-node type critical point
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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
Cites Work
- Unnamed Item
- Unnamed Item
- On the number of limit cycles in general planar piecewise linear systems
- Dynamics and bifurcations of non-smooth mechanical systems
- Limit cycles in small perturbations of a planar piecewise linear Hamiltonian system with a non-regular separation line
- On Hopf bifurcation in non-smooth planar systems
- Existence of piecewise linear differential systems with exactly \(n\) limit cycles for all \(n\in \mathbb N\)
- Limit cycles in planar piecewise linear differential systems with nonregular separation line
- New lower bound for the Hilbert number in piecewise quadratic differential systems
- The number and stability of limit cycles for planar piecewise linear systems of node-saddle type
- On the number of limit cycles in general planar piecewise linear systems of node-node types
- Higher order Melnikov analysis for planar piecewise linear vector fields with nonlinear switching curve
- Limit cycles of discontinuous piecewise differential systems formed by linear centers in \(\mathbb{R}^2\) and separated by two circles
- Some open problems in low dimensional dynamical systems
- On the Hilbert number for piecewise linear vector fields with algebraic discontinuity set
- Limit cycles in piecewise polynomial Hamiltonian systems allowing nonlinear switching boundaries
- Uniform upper bound for the number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line
- Existence of four-crossing-points limit cycles in planar sector-wise linear systems with saddle-saddle dynamics
- On the number of limit cycles in general planar piecewise linear differential systems with two zones having two real equilibria
- Existence of limit cycles in general planar piecewise linear systems of saddle-saddle dynamics
- A general mechanism to generate three limit cycles in planar Filippov systems with two zones
- Piecewise-smooth dynamical systems. Theory and applications
- LOWER BOUNDS FOR THE MAXIMUM NUMBER OF LIMIT CYCLES OF DISCONTINUOUS PIECEWISE LINEAR DIFFERENTIAL SYSTEMS WITH A STRAIGHT LINE OF SEPARATION
- More Than Three Limit Cycles in Discontinuous Piecewise Linear Differential Systems with Two Zones in the Plane
- Global properties of continuous piecewise linear vector fields. Part I: Simplest case in ℝ2
- PIECEWISE LINEAR FEEDBACK SYSTEMS WITH ARBITRARY NUMBER OF LIMIT CYCLES
- One-Parameter Bifurcations in Planar Filippov Systems
- Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
- Limit Cycles Induced by Threshold Nonlinearity in Planar Piecewise Linear Systems of Node-Focus or Node-Center Type
- Poincaré Maps of “ <”-Shape Planar Piecewise Linear Dynamical Systems with a Saddle
- Limit Cycles in Discontinuous Planar Piecewise Linear Systems Separated by a Nonregular Line of Center–Center Type
- Limit Cycles in Discontinuous Piecewise Linear Planar Hamiltonian Systems Without Equilibrium Points
- Limit Cycles in a Family of Planar Piecewise Linear Differential Systems with a Nonregular Separation Line
- Canonical Discontinuous Planar Piecewise Linear Systems
- Limit cycles and bifurcations in a class of planar piecewise linear systems with a nonregular separation line
- Bifurcation of limit cycles in piecewise-smooth systems with intersecting discontinuity surfaces
This page was built for publication: Crossing limit cycles in planar piecewise linear systems separated by a nonregular line with node-node type critical points
