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The existence of homoclinic orbits in a 4D Lorenz-type hyperchaotic system

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Abstract

Little seems to be known about the homoclinic orbits of hyperchaotic system. Through the deep researches of a 4D Lorenz-type hyperchaotic system, with the help of Fishing Principle, we obtain the existence conditions of homoclinic orbits of this hyperchaotic system. In order to justify the theoretical analysis, by using the numerical methods, a set of approximate bifurcation parameters and its corresponding homoclinic orbits are obtained.

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Acknowledgments

This work was supported by the PhD Start-up Fund of Natural Science Foundation of Guangdong Province, China (No. 2015A030310424).

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Authors and Affiliations

  1. School of Computer Science, Guangdong Polytechnic Normal University, Guangzhou, 510665, People’s Republic of China

    Yuming Chen

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  1. Yuming Chen
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Correspondence to Yuming Chen.

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Chen, Y. The existence of homoclinic orbits in a 4D Lorenz-type hyperchaotic system. Nonlinear Dyn 87, 1445–1452 (2017). https://doi.org/10.1007/s11071-016-3126-1

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  • DOI: https://doi.org/10.1007/s11071-016-3126-1

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