Periodic orbits of continuous-discontinuous piecewise differential systems with four pieces separated by the curve \(xy=0\) and formed by linear Hamiltonian systems
Publication date: 13 August 2024
Published in: Dynamics of Continuous, Discrete \& Impulsive Systems. Series A. Mathematical Analysis (Search for Journal in Brave)
limit cyclequadratic centerlinear centerdiscontinuous piecewise differential systemlinear focusquadratic weak focus
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Linear ordinary differential equations and systems (34A30) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Discontinuous ordinary differential equations (34A36)
Cites Work
- Title not available (Why is that?)
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- Maximum number of limit cycles for certain piecewise linear dynamical systems
- On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
- Piecewise linear differential systems with only centers can create limit cycles?
- Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center
- A general mechanism to generate three limit cycles in planar Filippov systems with two zones
- Piecewise-smooth dynamical systems. Theory and applications
- Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane
- Bifurcation phenomena in non-smooth dynamical systems
- 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
- Limit Cycles Bifurcating from the Periodic Orbits of a Discontinuous Piecewise Linear Differentiable Center with Two Zones
- Neuronal Networks with Gap Junctions: A Study of Piecewise Linear Planar Neuron Models
- Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
- The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line
- Limit Cycles in Discontinuous Planar Piecewise Linear Systems Separated by a Nonregular Line of Center–Center Type
- Limit Cycles in a Family of Planar Piecewise Linear Differential Systems with a Nonregular Separation Line
- A Simple Solution to the Braga–Mello Conjecture
- Canonical Discontinuous Planar Piecewise Linear Systems
- Bifurcations in Continuous Piecewise Linear Differential Systems
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