Limit cycle bifurcations in a planar piecewise quadratic system with multiple parameters
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Publication:2114241
DOI10.1186/s13662-020-02827-2zbMath1485.34097OpenAlexW3042988321MaRDI QIDQ2114241
Publication date: 15 March 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-020-02827-2
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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
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Cites Work
- Limit cycle bifurcations by perturbing piecewise smooth Hamiltonian systems with multiple parameters
- Limit cycle bifurcations in a class of near-Hamiltonian systems with multiple parameters
- Limit cycles bifurcate from centers of discontinuous quadratic systems
- On Hopf bifurcation in non-smooth planar systems
- New lower bound for the Hilbert number in piecewise quadratic differential systems
- On the birth of limit cycles for non-smooth dynamical systems
- Limit cycles for discontinuous quadratic differential systems with two zones
- Averaging theory for discontinuous piecewise differential systems
- Center conditions in a switching Bautin system
- A linear estimate of the number of limit cycles for some planar piecewise smooth quadratic differential system
- Piecewise-smooth dynamical systems. Theory and applications
- Limit cycles near generalized homoclinic and double homoclinic loops in piecewise smooth systems
- Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems
- Equivalence of the Melnikov function method and the averaging method
- Bifurcations in Nonsmooth Dynamical Systems
- BIFURCATION OF LIMIT CYCLES BY PERTURBING PIECEWISE HAMILTONIAN SYSTEMS
- BIFURCATION OF LIMIT CYCLES IN PIECEWISE SMOOTH SYSTEMS VIA MELNIKOV FUNCTION
- ON THE MAXIMUM NUMBER OF PERIODIC SOLUTIONS OF PIECEWISE SMOOTH PERIODIC EQUATIONS BY AVERAGE METHOD