Period Doublings and Possible Chaos in Neural Models

DOI10.1137/0144007zbMath0532.92005OpenAlexW2035607246MaRDI QIDQ3315320

G. Bard Ermentrout

Publication date: 1984

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0144007

zbMATH Keywords

chaosneural modelsperiod doublingWilson-Cowan modelFitzHugh-Nagumo equationbifurcation behavior near degenerate zero eigenvaluepositive feedback term

Mathematics Subject Classification ID

Singular perturbations of ordinary differential equations (34D15) Dynamical systems and ergodic theory (37-XX) Numerical analysis in abstract spaces (65J99) Physiological, cellular and medical topics (92Cxx)

Related Items (4)

Synchronization of weakly coupled canard oscillators ⋮ Observation of nonlinear systems via finite capacity channels. II: Restoration entropy and its estimates ⋮ Existence and global convergence of periodic solutions in recurrent neural network models with a general piecewise alternately advanced and retarded argument ⋮ A neural network which computes the square root

Uses Software

• MLAB

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