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Generation and Modified Projective Synchronization for a Class of New Hyperchaotic Systems

Author

Listed:
  • Nuo Jia
  • Tao Wang

Abstract

A class of new hyperchaotic systems with different nonlinear terms is proposed, and the existence of hyperchaos is exhibited by calculating their Lyapunov exponent spectrums. Then the universal theories on modified projective synchronization (MPS) of the systems with general form which linearly depends on unknown parameters or time‐varying parameters, are investigated by presenting an adaptive control strategy together with parameter update laws and a nonlinear control scheme based on Lyapunov stability theory. Subsequently, the presented control methods are applied to achieve MPS of the new hyperchaotic systems, and their effectiveness is illustrated by numerical simulations.

Suggested Citation

  • Nuo Jia & Tao Wang, 2013. "Generation and Modified Projective Synchronization for a Class of New Hyperchaotic Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:804964
    DOI: 10.1155/2013/804964
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    References listed on IDEAS

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