Chaotic Dynamics of Discrete Multiple-Time Delayed Neural Networks of Ring Architecture Evoked by External Inputs

DOI10.1142/S0218127416501790zbMath1349.39028MaRDI QIDQ2834942

Liangliang Li, Xiaoying Wu, YuanLong Chen, Jing Tian

Publication date: 1 December 2016

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

zbMATH Keywords

chaostopological conjugacydiscrete-timeneural networks of ring architecture

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Additive difference equations (39A10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Chaotic behavior of solutions of difference equations (39A33)

Related Items (4)

Chaos on discrete neural network loops with self-feedback ⋮ The Structural Stability of Maps with Heteroclinic Repellers ⋮ The \(C^1\) persistence of heteroclinic repellers in \(\mathbb{R}^n\) ⋮ Complex Dynamics of Discrete-Time Ring Neural Networks

Cites Work

• Chaotic invariant sets of a delayed discrete neural network of two non-identical neurons
• Chaotic dynamics of a delayed discrete-time Hopfield network of two nonidentical neurons with no self-connections
• Complex and chaotic dynamics in a discrete-time-delayed Hopfield neural network with ring architecture
• Stability and bifurcation of a class of discrete-time neural networks
• Hopf bifurcation analysis of two neurons with three delays
• THE PERSISTENCE OF SNAP-BACK REPELLER UNDER SMALL C¹ PERTURBATIONS IN BANACH SPACES
• COEXISTENCE OF MULTISTABILITY AND CHAOS IN A RING OF DISCRETE NEURAL NETWORK WITH DELAYS
• Neural networks and physical systems with emergent collective computational abilities.

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