Persistence of periodic solutions from discontinuous planar piecewise linear Hamiltonian differential systems with three zones
DOI10.1007/s40863-022-00313-zOpenAlexW4285022250WikidataQ114218291 ScholiaQ114218291MaRDI QIDQ2107667
Claudio Pessoa, Ronisio Ribeiro
Publication date: 2 December 2022
Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40863-022-00313-z
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) 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) Discontinuous ordinary differential equations (34A36) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)
Cites Work
- Bifurcation of periodic orbits emanated from a vertex in discontinuous planar systems
- Piecewise linear perturbations of a linear center
- The discontinuous matching of two planar linear foci can have three nested crossing limit cycles
- Uniqueness and non-uniqueness of limit cycles for piecewise linear differential systems with three zones and no symmetry
- On the limit cycles of perturbed discontinuous planar systems with 4 switching lines
- Piecewise linear differential systems with only centers can create limit cycles?
- On the birth of limit cycles for non-smooth dynamical systems
- Limit cycle bifurcations of planar piecewise differential systems with three zones
- The number of limit cycles by perturbing a piecewise linear system with three zones
- Limit cycles in the discontinuous planar piecewise linear systems with three zones
- Limit cycles for \(m\)-piecewise discontinuous polynomial Liénard differential equations
- Piecewise-smooth dynamical systems. Theory and applications
- Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane
- Nagumo's equation
- Canonical realization of Chua's circuit family
- BIFURCATION OF LIMIT CYCLES BY PERTURBING PIECEWISE HAMILTONIAN SYSTEMS
- Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
- Limit Cycles in Planar Piecewise Linear Hamiltonian Systems with Three Zones Without Equilibrium Points
- ON THE NUMBER OF LIMIT CYCLES BY PERTURBING A PIECEWISE SMOOTH HAMILTON SYSTEM WITH TWO STRAIGHT LINES OF SEPARATION
- Introduction to the Qualitative Theory of Differential Systems
- Limit Cycles Bifurcating from a Period Annulus in Continuous Piecewise Linear Differential Systems with Three Zones
- LIMIT CYCLE BIFURCATIONS IN DISCONTINUOUS PLANAR SYSTEMS WITH MULTIPLE LINES