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.