کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7155507 | 1462622 | 2015 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Hyperbolic and non-hyperbolic chaos in a pair of coupled alternately excited FitzHugh-Nagumo systems
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We investigate a possibility of realization of structurally stable chaotic dynamics in neural systems. The considered model of interacting neurons consists of a pair of coupled FitzHugh-Nagumo systems, with the parameters being periodically modulated in antiphase, so that the neurons undergo alternate excitation with a successive transmission of the phase of oscillations from one neuron to another. It is shown that 4D map arising in a stroboscopic Poincaré section of the model flow system possesses a hyperbolic strange attractor of the Smale-Williams type. The dynamical regime observed in the system represents a sequence of amplitude bursts, in which the phase dynamics of oscillatory spikes is described by chaotic mapping of Bernoulli type. The results are confirmed by numerical calculation of Lyapunov exponents and their parameter dependencies, as well as by direct computation of the distributions of angles between stable and unstable tangent subspaces of chaotic trajectories.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 23, Issues 1â3, June 2015, Pages 202-208
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 23, Issues 1â3, June 2015, Pages 202-208
نویسندگان
Alexey Yu. Jalnine,