Limit cycles for some families of smooth and non-smooth planar systems
DOI10.1016/j.na.2021.112298zbMath1470.34091arXiv2008.07692OpenAlexW3133419989MaRDI QIDQ2019313
Armengol Gasull, Yagor Romano Carvalho, Claudio A. Buzzi
Publication date: 20 April 2021
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.07692
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Averaging method for ordinary differential equations (34C29) 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)
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Cites Work
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- On nonsmooth perturbations of nondegenerate planar centers
- Modeling herd behavior in population systems
- Bifurcations from nondegenerate families of periodic solutions in Lipschitz systems
- Limit cycles of quadratic systems in the plane
- A cubic system with thirteen limit cycles
- On the number of solutions of the equation \(\sum^n_{j=0}a_j(t)x^j,0\leq t\leq 1\), for which \(x(0)=x(1)\)
- Nonlinear differential equations and dynamical systems
- Averaging methods for finding periodic orbits via Brouwer degree.
- Mathematical problems for the next century
- Mathematical biology. Vol. 1: An introduction.
- Monotonicity, oscillations and stability of a solution to a nonlinear equation modelling the capillary rise
- Cyclicity of a family of vector fields
- Predator-prey dynamics with square root functional responses
- Asymptotic lower bounds on Hilbert numbers using canard cycles
- Limit cycles for \(m\)-piecewise discontinuous polynomial Liénard differential equations
- Limit cycles for 3-monomial differential equations
- Regularization of discontinuous foliations: blowing up and sliding conditions via Fenichel theory
- An Exactly Solvable Model for the Spread of Disease
- Centennial History of Hilbert's 16th Problem
- New lower bounds for the Hilbert numbers using reversible centers
- Polynomial systems: a lower bound for the Hilbert numbers
- Higher order averaging theory for finding periodic solutions via Brouwer degree
- Averaging methods in nonlinear dynamical systems
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