Complex dynamics of a delayed discrete neural network of two nonidentical neurons

DOI10.1063/1.4861756zbMath1374.92008OpenAlexW2031098933WikidataQ51097546 ScholiaQ51097546MaRDI QIDQ4591536

YuanLong Chen, Tingwen Huang, Yu Huang

Publication date: 17 November 2017

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4861756

zbMATH Keywords

chaosHopfield neural networktopologically conjugate

Mathematics Subject Classification ID

Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items

Chaos on discrete neural network loops with self-feedback ⋮ Chaotic attractors with separated scrolls ⋮ 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
• Bifurcation analysis for a discrete-time Hopfield neural network of two neurons with two delays and self-connections
• Associative dynamics in a chaotic neural network.
• Chaotic dynamics of a delayed discrete-time Hopfield network of two nonidentical neurons with no self-connections
• Snap-back repellers imply chaos in \(\mathbb{R}^n\)
• 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
• THE PERSISTENCE OF SNAP-BACK REPELLER UNDER SMALL C¹ PERTURBATIONS IN BANACH SPACES
• Neural networks and physical systems with emergent collective computational abilities.