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Synchronization in chaotic systems

Physical Review Letters · 1990 · Vol. 64(8) · pp. 821–824
Louis M. PecoraThomas L. Carroll

Abstract

Certain subsystems of nonlinear, chaotic systems can be made to synchronize by linking them with common signals. The criterion for this is the sign of the sub-Lyapunov exponents. We apply these ideas to a real set of synchronizing chaotic circuits.

Chaos control and synchronizationQuantum chaos and dynamical systemsNonlinear Dynamics and Pattern FormationSynchronizingLyapunov exponentChaoticSynchronization of chaosSynchronization (alternating current)Chaotic systemsNonlinear systemComputer scienceElectronic circuitSign (mathematics)
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References
An equation for continuous chaos
Physics Letters A · 1976 · 3,927 citations
Ergodic theory of chaos and strange attractors
Reviews of Modern Physics · 1985 · 4,848 citations
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