Synchronization of chaos

Synchronization of chaos is a phenomenon that may occur when two or more dissipative chaotic systems are coupled.

Because of the exponential divergence of the nearby trajectories of chaotic systems, having two chaotic systems evolving in synchrony might appear surprising. However, synchronization of coupled or driven chaotic oscillators is a phenomenon well established experimentally and reasonably well-understood theoretically.

The stability of synchronization for coupled systems can be analyzed using master stability. Synchronization of chaos is a rich phenomenon and a multi-disciplinary subject with a broad range of applications.[1][2][3]

Synchronization may present a variety of forms depending on the nature of the interacting systems and the type of coupling, and the proximity between the systems.

  1. ^ Arenas, Alex; Díaz-Guilera, Albert; Kurths, Jurgen; Moreno, Yamir; Zhou, Changsong (2008-12-01). "Synchronization in complex networks". Physics Reports. 469 (3): 93–153. arXiv:0805.2976. Bibcode:2008PhR...469...93A. doi:10.1016/j.physrep.2008.09.002. S2CID 14355929.
  2. ^ Wu, Chai Wah (2007). Synchronization in Complex Networks of Nonlinear Dynamical Systems. Bibcode:2007scnn.book.....W. doi:10.1142/6570. ISBN 978-981-270-973-8.
  3. ^ Eroglu, Deniz; Lamb, Jeroen S. W.; Pereira, Tiago (2017). "Synchronisation of chaos and its applications". Contemporary Physics. 58 (3): 207–243. Bibcode:2017ConPh..58..207E. doi:10.1080/00107514.2017.1345844. hdl:10044/1/53479. ISSN 0010-7514. S2CID 126358436.