DYNAMICAL SYSTEMS EXCITED BY TEMPORAL INPUTS: FRACTAL TRANSITION BETWEEN EXCITED ATTRACTORS

DOI10.1142/S0218348X99000220zbMath0971.37012MaRDI QIDQ2714139

Kazutoshi Gohara, Arata Okuyama

Publication date: 11 June 2001

Published in: Fractals (Search for Journal in Brave)

zbMATH Keywords

dissipative dynamical systemsattractive invariant set with fractal-like structure

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamics induced by flows and semiflows (37C10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (4)

AUTOMATA ON FRACTAL SETS OBSERVED IN HYBRID DYNAMICAL SYSTEMS ⋮ APPROXIMATION OF THE FRACTAL TRANSITION USING ATTRACTORS EXCITED BY PERIODIC INPUTS ⋮ POINCARÉ MAPPING OF CONTINUOUS RECURRENT NEURAL NETWORKS EXCITED BY TEMPORAL EXTERNAL INPUT ⋮ FRACTAL TRANSITION IN CONTINUOUS RECURRENT NEURAL NETWORKS

Cites Work

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• Recurrent iterated function systems
• Iterated function systems and the global construction of fractals
• On the structure of self-similar sets
• An ergodic theorem for iterated maps
• A new class of markov processes for image encoding
• Composition of contractions
• Neurons with graded response have collective computational properties like those of two-state neurons.

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