Neural dynamics modelled by one-dimensional circle maps

DOI10.1016/0960-0779(94)00218-FzbMath0912.58037MaRDI QIDQ1129368

S. H. Smith

Publication date: 25 May 1999

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

zbMATH Keywords

neural dynamicssingle neuronsone-dimensional circle maps

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Applications of dynamical systems (37N99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Low-dimensional dynamical systems (37E99)

Related Items (5)

Chaotic itinerancy in random dynamical system related to associative memory models ⋮ Rotation sets for networks of circle maps ⋮ Neuronal population dynamics with post inhibitory rebound:A reduction to piecewise linear discontinuous circle maps ⋮ Chaos to periodicity and periodicity to chaos by periodic perturbations in the Belousov--Zhabotinsky reaction ⋮ Lyapunov Graph for Two-Parameters Map: Application to the Circle Map

Cites Work

• Period-doubling bifurcations, chaos, phase-locking and devil's staircase in a Bonhoeffer-van der Pol oscillator
• Chaotic states in a random world: Relationship between the nonlinear differential equations of excitability and the stochastic properties of ion channels
• Ring-shaped quasisoliton solutions of the circular symmetric 2D sine-Gordon equation

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