Dynamic analysis of unstable Hopfield networks

DOI10.1007/s11071-010-9657-yzbMath1204.34037OpenAlexW2085010095MaRDI QIDQ623904

Jianxiong Zhang, Pengsheng Zheng, Wansheng Tang

Publication date: 8 February 2011

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-010-9657-y

zbMATH Keywords

instabilitylimit cyclechaotic attractorHopfield neural networkdissipative systemasymmetric connection

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Neural networks for/in biological studies, artificial life and related topics (92B20) Attractors of solutions to ordinary differential equations (34D45)

Related Items (3)

Chaotic dynamics in a neural network with different types of external stimuli ⋮ Global synchronization of weighted cellular neural network with time-varying coupling delays ⋮ On hyperchaos in a small memristive neural network

Cites Work

• Chaos of a new class of Hopfield neural networks
• Chaos in neurobiology
• Complex dynamics in simple Hopfield neural networks
• Necessary and sufficient condition for absolute stability of neural networks
• Bifurcation and chaos in cellular neural networks
• A critical analysis on global convergence of Hopfield-type neural networks
• A new result on the global convergence of Hopfield neural networks
• Neural networks and physical systems with emergent collective computational abilities.
• Neurons with graded response have collective computational properties like those of two-state neurons.

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