Nonautonomous Dynamical Systems · 2014 · 26 citations · 17 references
Natural SciencesMathematicsPhysicsDynamical SystemsSystem DynamicsChaos TheoryControl Of Dynamical SystemsControl TheoryNonlinear DynamicsStability TheoryChaos In Biological SystemsChaos SynchronizationChaotic DynamicsNonlinear Dynamical SystemsNonlinear StabilityNonlinear SystemsStability CriterionSynchronization Of Chaotic Systems
Abstract In this paper we investigate the dynamic behavior of a nonautonomous fractional-order biological system.With the stability criterion of active nonlinear fractional systems, the synchronization of the studied chaotic system is obtained. On the other hand, using a Phase-Locked-Loop (PLL) analogy we synchronize the same system. The numerical results demonstrate the efiectiveness of the proposed methods
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Deterministic Nonperiodic Flow
Edward N. Lorenz · Journal of the Atmospheric Sciences · 1963 · 19.3K citations · Full text
Synchronization in chaotic systems
Louis M. Pecora, Thomas L. Carroll · Physical Review Letters · 1990 · 10.6K citations