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Impulsive Synchronization and Adaptive-Impulsive Synchronization of a Novel Financial Hyperchaotic System

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  • Xiuli Chai
  • Zhihua Gan
  • Chunxiao Shi

Abstract

The impulsive synchronization and adaptive-impulsive synchronization of a novel financial hyperchaotic system are investigated. Based on comparing principle for impulsive functional differential equations, several sufficient conditions for impulsive synchronization are derived, and the upper bounds of impulsive interval for stable synchronization are estimated. Furthermore, a nonlinear adaptive-impulsive control scheme is designed to synchronize the financial system using invariant principle of impulsive dynamical systems. Moreover, corresponding numerical simulations are presented to illustrate the effectiveness and feasibility of the proposed methods.

Suggested Citation

  • Xiuli Chai & Zhihua Gan & Chunxiao Shi, 2013. "Impulsive Synchronization and Adaptive-Impulsive Synchronization of a Novel Financial Hyperchaotic System," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-10, August.
    • Handle: RePEc:hin:jnlmpe:751616
    DOI: 10.1155/2013/751616
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    Cited by:

    1. Yu, Nanxiang & Zhu, Wei, 2021. "Event-triggered impulsive chaotic synchronization of fractional-order differential systems," Applied Mathematics and Computation, Elsevier, vol. 388(C).

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