Dynamical behaviors in a two-dimensional map

DOI10.1007/s10255-003-0140-0zbMath1057.39010OpenAlexW1996612417MaRDI QIDQ1879154

Yu Chang, Xudong Li

Publication date: 22 September 2004

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-003-0140-0

zbMATH Keywords

chaosnumerical examplesbifurcationsperiodic pointsdifference equation

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems involving maps of the interval (37E05)

Related Items (2)

Snapback repellers and homoclinic orbits for multi-dimensional maps ⋮ Dynamical behaviors and chaos control in a discrete functional response model

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• On the periodic points of a two-parameter family of maps of the plane
• The discrete dynamics of symmetric competition in the plane
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• Snap-back repellers and chaos in a discrete population model with delayed recruitment
• Discrete Dynamical Systems in Dimensions One and Two
• Periodic solutions and chaos in a delay-differential equation modelling haematopoesis
• Period Three Implies Chaos
• Computation of the Stability Condition for the Hopf Bifurcation of Diffeomorphisms on $\mathbb{R}^2 $

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