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Zbl 1236.34072
Sudheer, K.Sebastian; Sabir, M.
Modified function projective synchronization of hyperchaotic systems through Open-Plus-Closed-Loop coupling. (English)
[J] Phys. Lett., A 374, No. 19-20, 2017-2023 (2010). ISSN 0375-9601

Summary: Recently introduced modified function projective synchronization (MFPS) in which chaotic systems synchronize up to a scaling function matrix has important applications in secure communications. We design coupling function for unidirectional coupling in identical and mismatched hyperchaotic oscillators to realize MFPS through Open-Plus-Closed-Loop (OPCL) coupling method. The arbitrary scaling function matrix elements are properly chosen such that we can produce function projective synchronization, synchronization, anti-synchronization and amplitude death on desired states of the response system simultaneously. Numerical simulations on identical hyperchaotic Rossler and mismatched hyperchaotic Lu system are presented to verify the effectiveness of the proposed scheme. A secure communication scheme based on MFPS is also presented.

MSC 2000:: *34D06
34H10
34C28 Other types of "recurrent" solutions of ODE

Keywords: hyperchaotic Rössler system; hyperchaotic Lu system; hyperchaotic systems; chaos synchronization; modified function projective synchronization (MFPS); Open-Plus-Closed-Loop (OPCL) coupling

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Zentralblatt MATH Berlin [Germany]