INVESTIGATION OF DYNAMICAL SYSTEMS USING SYMBOLIC IMAGES: EFFICIENT IMPLEMENTATION AND APPLICATIONS

DOI10.1142/S0218127406016938zbMath1117.37038OpenAlexW2028371226WikidataQ57627412 ScholiaQ57627412MaRDI QIDQ5297804

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Publication date: 13 July 2007

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

Full work available at URL: https://doi.org/10.1142/s0218127406016938

zbMATH Keywords

attractorsperiodic orbitshyperbolicitygraph algorithmsbasins of attractionconnecting orbitsChua circuitLorenz mapchain recurrentunstable invariant setsIkeda mapBernoulli mapdiscrete food chain mapreturn trajectoriestuning techniques

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Applications of dynamical systems (37N99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems with hyperbolic orbits and sets (37D05) Symbolic dynamics (37B10) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items

Doubling bifurcation of a closed invariant curve in 3D maps ⋮ Unnamed Item ⋮ On the appearance of multiple attractors in discrete food-chains ⋮ Flows on graphs and dynamical systems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item

Uses Software

• SaddleDrop
• GAIO
• AnT 4.669
• Dynamics

Cites Work

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