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The geometry of chaos synchronization
Ernest Barreto, Kreimir Josic, Carlos Morales Evelyn Sander, and Paul So
PS
Chaos synchronization in coupled systems is often characterized by a
map $\phi$ between the states of the components. In noninvertible
systems, or in systems without inherent symmetries, the
synchronization set -- by which we mean graph($\phi$) -- can be
extremely complicated. We identify, describe, and give examples of
several different complications that can arise, and we link each to
inherent properties of the underlying dynamics. We also discuss how
these features can be quantified, and how they interfere with standard
methods for detecting synchronization in measured data.^
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Current Address: Department of Mathematics, PGH Building, University of Houston, Houston, Texas 77204-3008
Phone: (713) 743-3500 - Fax: (713) 743-3505
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