Limit Cycles from Perturbing a Piecewise Smooth System with a Center and a Homoclinic Loop
DOI10.1142/S0218127421501595zbMath1489.34050OpenAlexW3193752955MaRDI QIDQ4958585
Publication date: 14 September 2021
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127421501595
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) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)
Related Items (1)
Cites Work
- Unnamed Item
- Limit cycle bifurcations in a class of piecewise smooth systems with a double homoclinic loop
- Limit cycles for perturbing a piecewise linear Hamiltonian system with one or two saddles
- Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system with a homoclinic loop
- Hopf and homoclinic bifurcations for near-Hamiltonian systems
- Bifurcation of periodic orbits of periodic equations with multiple parameters by averaging method
- Bifurcation of limit cycles from quadratic isochrones
- Limit cycles near homoclinic and heteroclinic loops
- On Hopf bifurcation in non-smooth planar systems
- Perturbations of quadratic centers
- Upper estimates for the number of periodic solutions to multi-dimensional systems
- Limit cycles by perturbing quadratic isochronous centers inside piecewise polynomial differential systems
- Hopf bifurcation of limit cycles by perturbing piecewise integrable systems
- Limit cycles for discontinuous quadratic differential systems with two zones
- Averaging theory for discontinuous piecewise differential systems
- Limit cycles for \(m\)-piecewise discontinuous polynomial Liénard differential equations
- A class of ninth degree system with four isochronous centers
- Limit cycles near generalized homoclinic and double homoclinic loops in piecewise smooth systems
- Limit Cycle Bifurcations for Piecewise Smooth Hamiltonian Systems with a Generalized Eye-Figure Loop
- Limit Cycle Bifurcations by Perturbing a Piecewise Hamiltonian System with a Double Homoclinic Loop
- BIFURCATION OF LIMIT CYCLES BY PERTURBING PIECEWISE HAMILTONIAN SYSTEMS
- FURTHER STUDIES ON LIMIT CYCLE BIFURCATIONS FOR PIECEWISE SMOOTH NEAR-HAMILTONIAN SYSTEMS WITH MULTIPLE PARAMETERS<inline-formula><tex-math id="M1">$ ^* $</tex-math></inline-formula>
- ON THE MAXIMUM NUMBER OF PERIODIC SOLUTIONS OF PIECEWISE SMOOTH PERIODIC EQUATIONS BY AVERAGE METHOD
- Picard–Fuchs Equation Applied to Quadratic Isochronous Systems with Two Switching Lines
- HOPF BIFURCATIONS FOR NEAR-HAMILTONIAN SYSTEMS
- Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system
This page was built for publication: Limit Cycles from Perturbing a Piecewise Smooth System with a Center and a Homoclinic Loop