A new chaotic behavior of a general model of the Henon map

DOI10.1186/1687-1847-2014-107zbMath1417.37124OpenAlexW2161020721WikidataQ59322603 ScholiaQ59322603MaRDI QIDQ1720223

Ahmed M. A. El-Sayed, Sanaa Moussa Salman, Zaki F. A. El-Raheem

Publication date: 8 February 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-107

zbMATH Keywords

fixed pointsexistencechaosuniquenessbifurcationchaotic attractorHenon mapretarded functional equation

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)

Cites Work

• Continuous solutions of systems of nonlinear difference equations with continuous argument and their properties
• Existence of uniformly stable solutions of nonautonomous discontinuous dynamical systems
• Bifurcation and chaos in discrete\,-\,time predator\,-\,prey system
• Theory of functional differential equations. 2nd ed
• Periodic solutions and stability for a singularly perturbed linear delay differential equation
• Discrete fractional logistic map and its chaos
• Complex dynamic behaviors of a discrete-time predator-prey system
• THE GENERALIZED TIME-DELAYED HÉNON MAP: BIFURCATIONS AND DYNAMICS
• Elements of applied bifurcation theory
• A note on the computation of the largest \(p\) LCEs of discrete dynamical systems.
• Discrete chaos in fractional sine and standard maps
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item