Generation and Modified Projective Synchronization for a Class of New Hyperchaotic Systems
A class of new hyperchaotic systems with different nonlinear terms is proposed, and the existence of hyperchaos is exhibited by calculating their Lyapunov exponent spectrums. Then the universal theories on modified projective synchronization (MPS) of the systems with general form which linearly depe...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/804964 |
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| Summary: | A class of new hyperchaotic systems with different nonlinear terms
is proposed, and the existence of hyperchaos is exhibited by
calculating their Lyapunov exponent spectrums. Then the universal
theories on modified projective synchronization (MPS) of the
systems with general form which linearly depends on unknown
parameters or time-varying parameters, are
investigated by presenting an adaptive control strategy together
with parameter update laws and a nonlinear control scheme based on
Lyapunov stability theory. Subsequently, the presented control
methods are applied to achieve MPS of the new hyperchaotic systems,
and their effectiveness is illustrated by numerical simulations. |
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| ISSN: | 1085-3375 1687-0409 |