CONSTRUCTING CHAOTIC POLYNOMIAL MAPS

DOI10.1142/S0218127409023172zbMath1170.37318MaRDI QIDQ3398187

Xu Zhang, Yuming Shi, Guan-Rong Chen

Publication date: 25 September 2009

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

snap-back repellerchaoslogistic mapcoupled-expanding mapchaotic polynomial map

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dynamical systems involving maps of the interval (37E05)

Related Items (12)

Role of logistic and Ricker's maps in appearance of chaos in autonomous quadratic dynamical systems ⋮ Chaos analysis for a class of hyperbolic equations with nonlinear boundary conditions ⋮ Research of chaotic dynamics of 3D autonomous quadratic systems by their reduction to special 2D quadratic systems ⋮ Existence of chaos for partial difference equations via tangent and cotangent functions ⋮ Implicit one-dimensional discrete maps and their connection with existence problem of chaotic dynamics in 3-D systems of differential equations ⋮ Reduction Method for Search of Chaotic Attractors in Generic Autonomous Quadratic Dynamical Systems ⋮ Chaotification of First-Order Partial Difference Equations ⋮ General Method of Construction of Implicit Discrete Maps Generating Chaos in 3D Quadratic Systems of Differential Equations ⋮ Chaotic dynamical behaviors of a one-dimensional wave equation ⋮ Chaotic Polynomial Maps ⋮ Chaotic Dynamics of Partial Difference Equations with Polynomial Maps ⋮ Exponential-Algebraic Maps and Chaos in 3D Autonomous Quadratic Systems

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