Chaotic invariant sets of a delayed discrete neural network of two non-identical neurons

DOI10.1007/S11425-013-4640-YzbMath1276.37008OpenAlexW1997374367MaRDI QIDQ382764

Xingfu Zou, YuanLong Chen, Yu Huang

Publication date: 22 November 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-013-4640-y

zbMATH Keywords

neural networktopological conjugacydiscrete-timeDevaney chaos

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25)

Related Items (6)

Chaos on discrete neural network loops with self-feedback ⋮ Complex dynamics of a delayed discrete neural network of two nonidentical neurons ⋮ The Structural Stability of Maps with Heteroclinic Repellers ⋮ The \(C^1\) persistence of heteroclinic repellers in \(\mathbb{R}^n\) ⋮ Chaotic Dynamics of Discrete Multiple-Time Delayed Neural Networks of Ring Architecture Evoked by External Inputs ⋮ Complex Dynamics of Discrete-Time Ring Neural Networks

Cites Work

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• Chaotic trajectories in the standard map. The concept of anti- integrability
• Chaotic dynamics of a delayed discrete-time Hopfield network of two nonidentical neurons with no self-connections
• Co-existence of chaos and stable periodic orbits in a simple discrete neural network
• Chaotic dynamics of neural networks and its application to combinatorial optimization
• Neural networks and physical systems with emergent collective computational abilities.
• Topological horseshoes for perturbations of singular difference equations
• Chaotic invariant sets of high-dimensional Hénon-like maps

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