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Generalized Outer Synchronization between Complex Networks with Unknown Parameters

Author

Listed:
  • Di Ning
  • Xiaoqun Wu
  • Jun-an Lu
  • Hui Feng

Abstract

As is well known, complex networks are ubiquitous in the real world. One network always behaves differently from but still coexists in balance with others. This phenomenon of harmonious coexistence between different networks can be termed as “generalized outer synchronization (GOS).” This paper investigates GOS between two different complex dynamical networks with unknown parameters according to two different methods. When the exact functional relations between the two networks are previously known, a sufficient criterion for GOS is derived based on Barbalat′s lemma. If the functional relations are not known, the auxiliary‐system method is employed and a sufficient criterion for GOS is derived. Numerical simulations are further provided to demonstrate the feasibility and effectiveness of the theoretical results.

Suggested Citation

  • Di Ning & Xiaoqun Wu & Jun-an Lu & Hui Feng, 2013. "Generalized Outer Synchronization between Complex Networks with Unknown Parameters," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:802859
    DOI: 10.1155/2013/802859
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    References listed on IDEAS

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    1. Liu, Hui & Chen, Juan & Lu, Jun-an & Cao, Ming, 2010. "Generalized synchronization in complex dynamical networks via adaptive couplings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1759-1770.
    2. Peng, Guojun & Jiang, Yaolin & Chen, Fang, 2008. "Generalized projective synchronization of fractional order chaotic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3738-3746.
    3. Tang, Hongwu & Chen, Liang & Lu, Jun-an & Tse, Chi K., 2008. "Adaptive synchronization between two complex networks with nonidentical topological structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(22), pages 5623-5630.
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