Limit cycles of a class of Liénard systems derived from state-dependent impulses

DOI10.1016/j.nahs.2022.101188zbMath1491.34032OpenAlexW4220729650MaRDI QIDQ2158871

Kazuki Ishibashi, Jitsuro Sugie

Publication date: 26 July 2022

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2022.101188

zbMATH Keywords

limit cyclevan der Pol equationLiénard equationPoincaré-Bendixson theoremdiscontinuous dynamical systemstate-dependent impulse

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ordinary differential equations with impulses (34A37) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Exponential stability of delayed nonlinear systems with state-dependent delayed impulses and its application in delayed neural networks ⋮ Global-in-time existence of unbounded separatrices and blow-up time of solutions for Liénard systems whose restoring force is an odd power function

Cites Work

• Anti-periodic solutions of Liénard equations with state dependent impulses
• On global asymptotic stability of systems of Liénard type
• Existence and non-existence of homoclinic trajectories of the Liénard system
• Modelling and qualitative analysis of water hyacinth ecological system with two state-dependent impulse controls
• On the existence of discontinuous periodic solutions for a class of Liénard systems with impulses
• Classification of global phase portraits of a system of Liénard type
• Robust identification of nonlinear state-dependent impulsive switched system with switching duration constraints
• Dynamic behaviors of the FitzHugh-Nagumo neuron model with state-dependent impulsive effects
• Optimal parameter selection problem of the state dependent impulsive differential equations
• Periodic Liénard-type delay equations with state-dependent impulses
• Homoclinic orbits in generalized Liénard systems
• State-dependent pulse vaccination and therapeutic strategy in an SI epidemic model with nonlinear incidence rate
• Principles of Discontinuous Dynamical Systems
• Exponential stability of the solutions of the initial value problem for systems with an impulse effect
• Bifurcation Analysis of a Generalized Impulsive Kolmogorov Model With Applications to Pest and Disease Control
• On the Liénard system which has no periodic solutions
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