Phys. Rev. Lett. 84, 1689–1692 (2000)From Generalized Synchrony to Topological Decoherence: Emergent Sets in Coupled Chaotic SystemsReceived 10 May 1999; published in the issue dated 21 February 2000 We consider the evolution of the unstable periodic orbit structure of coupled chaotic systems. This involves the creation of a complicated set outside of the synchronization manifold (the emergent set). We quantitatively identify a critical transition point in its development (the decoherence transition). For asymmetric systems we also describe a migration of unstable periodic orbits that is of central importance in understanding these systems. Our framework provides an experimentally measurable transition, even in situations where previously described bifurcation structures are inapplicable. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.84.1689
DOI:
10.1103/PhysRevLett.84.1689
PACS:
05.45.Xt, 02.40.Sf, 05.45.Jn, 87.10.+e
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