Chaos and its synchronization in two-neuron systems with discrete delays

DOI10.1016/j.chaos.2003.10.031zbMath1048.37527OpenAlexW2067428061MaRDI QIDQ1878171

Shangbo Zhou, Xiaofeng Liao, Juebang Yu, Kwok-Wo Wong

Publication date: 19 August 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2003.10.031

Mathematics Subject Classification ID

Neural biology (92C20) Dynamical systems in biology (37N25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)

Related Items (13)

Ultra-low-voltage integrable electronic realization of integer- and fractional-order Liao's chaotic delayed neuron model ⋮ Hopf bifurcation analysis of a four-neuron network with multiple time delays ⋮ STABILITY AND HOPF BIFURCATION OF A DELAYED NETWORK OF FOUR NEURONS WITH A SHORT-CUT CONNECTION ⋮ Stability and Hopf bifurcation analysis on a two-neuron network with discrete and distributed delays ⋮ EXPONENTIAL SYNCHRONIZATION IN DRIVE-RESPONSE SYSTEMS OF HOPFIELD-TYPE NEURAL NETWORKS WITH TIME DELAYS ⋮ BIFURCATION AND CHAOS ANALYSIS FOR A DELAYED TWO-NEURAL NETWORK WITH A VARIATION SLOPE RATIO IN THE ACTIVATION FUNCTION ⋮ Chaos control and synchronization of two neurons exposed to ELF external electric field ⋮ Synchronization of FitzHugh-Nagumo systems in EES via \(H_{\infty}\) variable universe adaptive fuzzy control ⋮ Bifurcation analysis in a limit cycle oscillator with delayed feedback ⋮ Unidirectional synchronization of Hodgkin-Huxley neurons exposed to ELF electric field ⋮ Global exponential stability in Lagrange sense for recurrent neural networks with time delays ⋮ Practical fixed time active control scheme for synchronization of a class of chaotic neural systems with external disturbances ⋮ Frequency synchronization and excitabilities of two coupled heterogeneous Morris-Lecar neurons

Cites Work

• Hopf bifurcation and chaos in a single delayed neuron equation with non-monotonic activation function
• Synchronizing hyperchaotic systems by observer design
• The role of synchronization in digital communications using chaos. II. Chaotic modulation and chaotic synchronization
• Taming chaos. I. Synchronization
• Synchronization in chaotic systems

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