Ouannas A, Azar AT, and Radwan AG (2016) On Inverse Problem of Generalized Synchronization Between Different Dimensional Integer–Order and Fractional-Order Chaotic Systems. The 28th International Conference on Microelectronics, December 17-20, 2016, Cairo , Egypt.
• 2016
Publication Information
Authors
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Keywords
Chaos, inverse generalized synchronization,
fractional systems, continuos-time systems, different dimensions.
Journal
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Publisher
IEEE
Volume
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Issue
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Pages
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publication.type
International
Paper Link
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Supplementary Materials
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Abstract
Chaos is described as a unstable dynamic behavior
with dependence on initial conditions. The control and synchronization
of chaotic systems requires the knowledge of parameters
in advance. Recently researcher's has been shifted from integer
order chaotic system to fraction order chaotic system. In this
work, based on the stability theory of integer-order linear systems
and Lyapunov stability theory, we present some control schemes
to achieve a new type of synchronization called inverse generalized
synchronization between different dimensional integer
and fractional-orders chaotic systems. The effectiveness of the
proposed approaches are verified by two numerical examples.
with dependence on initial conditions. The control and synchronization
of chaotic systems requires the knowledge of parameters
in advance. Recently researcher's has been shifted from integer
order chaotic system to fraction order chaotic system. In this
work, based on the stability theory of integer-order linear systems
and Lyapunov stability theory, we present some control schemes
to achieve a new type of synchronization called inverse generalized
synchronization between different dimensional integer
and fractional-orders chaotic systems. The effectiveness of the
proposed approaches are verified by two numerical examples.
Staff Members - Benha University