On global dynamics in a multi-dimensional discrete map

DOI10.3934/PROC.2015.0652zbMath1335.39026OpenAlexW2316973807MaRDI QIDQ260871

Anatoli F. Ivanov

Publication date: 22 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/proc.2015.0652

zbMATH Keywords

feedbacksingular perturbationsglobal attractivityglobal asymptotic stabilityinterval mapsglobal dynamicsnonlinear differential delay equationsreduction to multi-valued discrete maps

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Dynamical systems involving maps of the interval (37E05) Singular perturbations of functional-differential equations (34K26) Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30)

Cites Work

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• On global dynamics in a periodic differential equation with deviating argument
• Introduction to functional differential equations
• Delay equations. Functional-, complex-, and nonlinear analysis
• Renormalization in one-dimensional dynamics

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