Physical Review Letters · 1990 · 10.6K citations · 8 references
Natural SciencesMathematicsDynamical SystemsSystem DynamicsChaos TheoryControl TheoryLyapunov ExponentsNonlinear DynamicsTime SynchronizationChaos ControlChaos SynchronizationChaotic DynamicsChaotic OscillatorsSignalsSynchronization ControlSynchronization DynamicsSynchronization Of Chaotic Systems
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.
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Ergodic theory of chaos and strange attractors
Jean‐Pierre Eckmann, David Ruelle · Reviews of Modern Physics · 1985 · 4.9K citations
An equation for continuous chaos
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Otto E. Rössler · Zeitschrift für Naturforschung A · 1983 · 139 citations · Full text