One-dimensional and two-dimensional dynamics of cubic maps

DOI10.1155/DDNS/2006/15840zbMath1111.37031MaRDI QIDQ871405

Kara Amel, Djellit Ilhem

Publication date: 19 March 2007

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/127291

zbMATH Keywords

bifurcationsnumerical simulationschaotic motionspolynomial diffeomorphismscomplex behaviorsgeneralized Hénon maps

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems involving maps of the interval (37E05) Low-dimensional dynamical systems (37E99) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (7)

An investigation of the convergence to the stationary state in the Hassell mapping ⋮ Relaxation to fixed points in the logistic and cubic maps: analytical and numerical investigation ⋮ Route to chaos and some properties in the boundary crisis of a generalized logistic mapping ⋮ Parametric perturbation in a model that describes the neuronal membrane potential ⋮ On a One-Parameter Discrete-Time Z4-Equivariant Cubic Dynamical System ⋮ Is one dimensional Poincaré map sufficient to describe the chaotic dynamics of a three dimensional system? ⋮ Boundary-Crisis-Induced Complex Bursting Patterns in a Forced Cubic Map

Cites Work

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• Exotic phenomena in games and duopoly models
• Multistability and cyclic attractors in duopoly games
• Generalized Hénon maps: The cubic diffeomorphisms of the plane
• Dynamical properties of plane polynomial automorphisms
• Some global bifurcations of two-dimensional endomorphisms by use of critical lines
• BASIN BIFURCATIONS OF TWO-DIMENSIONAL NONINVERTIBLE MAPS: FRACTALIZATION OF BASINS
• Homoclinic bifurcations in n-dimensional endomorphisms, due to expanding periodic points
• Bifurcations and multistability in a class of two-dimensional endomorphisms

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