A function cascade synchronization method with unknown parameters and applications |
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| Authors: | An Hong-Li and Chen Yong |
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| Institution: | Nonlinear Science Center and Department of
Mathematics, Ningbo University,
Ningbo 315211, China\;Key Laboratory of Mathematics Mechanization, Chinese
Academy of Sciences, Beijing 100080, China |
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| Abstract: | This paper investigates the function cascade synchronization of
chaos system. Combining cascade synchronization scheme, parametric
adaptive control and projective synchronization scheme, it proposes
a new function cascade synchronization scheme to address a
generalized-type synchronization problem of three famous chaotic
systems: the Lorenz system, Liu system and R\"{o}ssler system, the
states of two identical chaotic systems with unknown parameters can
be asymptotically synchronized by choosing different special
suitable error functions. Numerical simulations are used to verify
the effectiveness of the proposed synchronization techniques. |
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| Keywords: | chaos projective
synchronization function projective synchronization cascade
synchronization adaptive control |
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