Limit Cycles of Planar Piecewise Smooth Quadratic Systems with Focus-Parabolic Type Critical Points
DOI10.1142/S0218127421500905zbMath1480.34014OpenAlexW3171361042MaRDI QIDQ4990678
Publication date: 31 May 2021
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127421500905
limit cycleLyapunov constantcenter problempiecewise smooth quadratic systemfocus-parabolic 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)
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Cites Work
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- Limit cycle bifurcations in a class of piecewise smooth systems with a double homoclinic loop
- Bifurcation of periodic orbits emanated from a vertex in discontinuous planar systems
- Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system with a homoclinic loop
- On the number of limit cycles in general planar piecewise linear systems
- Bifurcation of a non-smooth planar limit cycle from a vertex
- Degenerate Hopf bifurcations in a family of FF-type switching systems
- Limit cycle bifurcations near homoclinic and heteroclinic loops via stability-changing of a homoclinic loop
- Melnikov functions and limit cycles in piecewise smooth perturbations of a linear center using regularization method
- Limit cycles bifurcate from centers of discontinuous quadratic systems
- Bifurcation and chaos in discontinuous and continuous systems
- Normal forms, Melnikov functions and bifurcations of limit cycles
- Bifurcation from family of periodic orbits in discontinuous autonomous systems
- Limit cycles in small perturbations of a planar piecewise linear Hamiltonian system with a non-regular separation line
- Bifurcation of periodic orbits in a class of planar Filippov systems
- On Hopf bifurcation in non-smooth planar systems
- On the bifurcation of periodic orbits in discontinuous systems
- Bifurcation of limit cycles at infinity in a class of switching systems
- New lower bound for the Hilbert number in piecewise quadratic differential systems
- Generalized Hopf bifurcation emanated from a corner for piecewise smooth planar systems
- Bifurcation of sliding periodic orbits in periodically forced discontinuous systems
- Bifurcation of periodic orbits with multiple crossings in a class of planar Filippov systems
- Concurrent homoclinic bifurcation and Hopf bifurcation for a class of planar Filippov systems
- Piecewise linear differential systems with two real saddles
- Existence of limit cycles in general planar piecewise linear systems of saddle-saddle dynamics
- Lyapunov coefficients for an invisible fold-fold singularity in planar piecewise Hamiltonian systems
- Limit cycles for discontinuous quadratic differential systems with two zones
- Center conditions in a switching Bautin system
- Piecewise-smooth dynamical systems. Theory and applications
- Limit cycles near generalized homoclinic and double homoclinic loops in piecewise smooth systems
- Bifurcation of periodic orbits in discontinuous systems
- Continuation of the periodic orbits for the differential equation with discontinuous right hand side
- Bifurcation of limit cycles from generalized homoclinic loops in planar piecewise smooth systems
- DEGENERATE HOPF BIFURCATION IN NONSMOOTH PLANAR SYSTEMS
- On the Number of Limit Cycles by Perturbing a Piecewise Smooth Liénard Model
- More Than Three Limit Cycles in Discontinuous Piecewise Linear Differential Systems with Two Zones in the Plane
- The Center and Cyclicity Problems
- BIFURCATION OF LIMIT CYCLES BY PERTURBING PIECEWISE HAMILTONIAN SYSTEMS
- Differential Equations Defined by the Sum of two Quasi-Homogeneous Vector Fields
- Effective computation of the first Lyapunov quantities for a planar differential equation
- Limit cycles bifurcating from discontinuous centres
- Advanced Topics in Nonsmooth Dynamics
- Bifurcation of Nonhyperbolic Limit Cycles in Piecewise Smooth Planar Systems with Finitely Many Zones
- The Maximal Number of Limit Cycles in Perturbations of Piecewise Linear Hamiltonian Systems with Two Saddles
- Center-Focus Problem for Discontinuous Planar Differential Equations
- Bifurcation of Periodic Orbits Crossing Switching Manifolds Multiple Times in Planar Piecewise Smooth Systems
- Picard–Fuchs Equation Applied to Quadratic Isochronous Systems with Two Switching Lines
- Degenerate Hopf bifurcations in discontinuous planar systems