Global dynamics of a differential equation with piecewise constant argument

DOI10.1016/J.NA.2009.05.030zbMath1239.34090OpenAlexW2017231144WikidataQ115343095 ScholiaQ115343095MaRDI QIDQ425827

Anatoli F. Ivanov

Publication date: 9 June 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.05.030

zbMATH Keywords

chaotic dynamicsglobal stabilitysingular perturbationsinterval mapsdiscretizationsdifferential delay and difference equationsperiodic solutions and their stability/instabilityreduction to one-dimensional maps

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Dynamical systems involving maps of the interval (37E05) Stability theory for smooth dynamical systems (37C75)

Related Items (2)

Stability analysis of neural networks with periodic coefficients and piecewise constant arguments ⋮ Stability analysis of Runge–Kutta methods for differential equations with piecewise continuous arguments of mixed type

Cites Work

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• Introduction to functional differential equations
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• On numerical approximation using differential equations with piecewise-constant arguments
• Delay equations with rapidly oscillating stable periodic solutions
• Stability of Periodic Orbits in the Theorem of Sarkovskii
• Periodic solutions of a discretized differential delay equation

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