On the number of limit cycles in piecewise smooth generalized Abel equations with two asymmetric zones
DOI10.1016/j.nonrwa.2022.103551zbMath1482.34092OpenAlexW4214937405MaRDI QIDQ2113924
Publication date: 14 March 2022
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2022.103551
limit cyclesMelnikov theoryarbitrary higher order perturbationsasymmetric zonespiecewise smooth generalized Abel differential equations
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) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)
Cites Work
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- Application of the Abel equation of the 1st kind to inflation analysis of non-exactly solvable cosmological models
- On the number of limit cycles for perturbed pendulum equations
- Maximum number of limit cycles for certain piecewise linear dynamical systems
- Piecewise linear perturbations of a linear center
- On the number of limit cycles in general planar piecewise linear systems
- On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
- On Hopf bifurcation in non-smooth planar systems
- Iterative approximation of limit cycles for a class of Abel equations
- On the number of solutions of the equation \(\sum^n_{j=0}a_j(t)x^j,0\leq t\leq 1\), for which \(x(0)=x(1)\)
- Cubic systems and Abel equations
- Non-existence and uniqueness of limit cycles for planar polynomial differential systems with homogeneous nonlinearities
- Limit cycles in planar piecewise linear differential systems with nonregular separation line
- Limit cycles for rigid cubic systems
- A Chebyshev criterion with applications
- Travelling wave solutions of the reaction-diffusion mathematical model of glioblastoma growth: an Abel equation based approach
- Piecewise-smooth dynamical systems. Theory and applications
- Lower bounds for the number of limit cycles of trigonometric Abel equations
- Five interpretations of Fa\`a di Bruno's formula
- A Chebyshev criterion for Abelian integrals
- More Than Three Limit Cycles in Discontinuous Piecewise Linear Differential Systems with Two Zones in the Plane
- Limit Cycles for a Class of Abel Equations
- Limit cycles of a class of polynomial systems
- Differential Equations Defined by the Sum of two Quasi-Homogeneous Vector Fields
- The Curious History of Faa di Bruno's Formula
- HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
- Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
- On the Number of Limit Cycles in Generalized Abel Equations
- A Simple Solution to the Braga–Mello Conjecture
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