Journal
PRAMANA-JOURNAL OF PHYSICS
Volume 76, Issue 3, Pages 385-396Publisher
INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-011-0051-1
Keywords
Inverse synchronization; antisynchronization; fractional differential equations; open-plus-closed-loop control
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Funding
- Foundation for Distinguished Young Talents in Higher Education of Guangdong, China [LYM10074]
- Natural Science Foundation of Guangdong Province [9451042001004076]
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In this paper, the inverse synchronization problem of fractional-order dynamical systems is investigated. A general explicit coupling via an open-plus-closed-loop control for inverse synchronization of two arbitrary unidirectionally or bidirectionally coupled fractional-order systems is proposed. The inverse synchronization is proved analytically based on the stability theorem of the fractional differential equations. A key feature of this proposed scheme is that it can be applied not only to nonchaotic but also to chaotic fractional-order systems whenever they exhibit regular or irregular oscillations. Feasibility of the proposed inverse synchronization scheme is illustrated through numerical simulations.
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