Chaotic and Hyperchaotic Attractors in Time-Delayed Neural Networks

Dong Zhang; Jian Xu

Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2

Research Article

Chaotic and Hyperchaotic Attractors in Time-Delayed Neural Networks

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@INPROCEEDINGS{10.1007/978-3-642-02469-6_1,
    author={Dong Zhang and Jian Xu},
    title={Chaotic and Hyperchaotic Attractors in Time-Delayed Neural Networks},
    proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2},
    proceedings_a={COMPLEX PART 2},
    year={2012},
    month={5},
    keywords={neuron system time delay hyperchaos},
    doi={10.1007/978-3-642-02469-6_1}
}

Dong Zhang
Jian Xu
Year: 2012
Chaotic and Hyperchaotic Attractors in Time-Delayed Neural Networks
COMPLEX PART 2
Springer
DOI: 10.1007/978-3-642-02469-6_1

Dong Zhang¹^,*, Jian Xu¹^,*

1: Tongji University

*Contact email: zhangdong506@yahoo.com.cn, xujian@tongji.edu.cn

Abstract

It is well known that complex dynamic behaviors exist in time-delayed neural networks. Infinite positive Lyapunov exponents can be found in time-delayed chaotic systems since the dimension of such systems is infinite. This paper presents an infinite-dimension hyperchaotic time-delayed neuron system with sinusoidal activation function. The hyperchaotic neuron system is studied by Lyapunov exponent, phase diagram, Poincare section and power spectrum. Numerical simulations show that the new system’s behavior can be convergent, periodic, chaotic and hyperchaotic when the time-delay parameter varies.

Keywords: neuron system time delay hyperchaos

Published: 2012-05-11

: http://dx.doi.org/10.1007/978-3-642-02469-6_1