J P García-Sandoval et al 2009 J. Phys. A: Math. Theor. 42 295101 doi:10.1088/1751-8113/42/29/295101
On generalized synchronization of different-order chaotic systems: a submanifold approach
J P García-Sandoval1, R Femat2 and V González-Álvarez1
Show affiliationsRegulation theory is used to address the synchronization phenomena of chaotic systems. Our results are based on the solution of the Francis–Isidori–Byrnes equations to derive the synchronization submanifold. Thus conditions for complete or partial synchronization are depicted. This analysis is not restrictive with respect to the master and the slave systems' dimensions, therefore it can be applied to strictly different systems with the same order or even different-order systems. Finally, workbench examples are presented to illustrate the results.
- PACS
- MSC
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70K55 Transition to stochasticity (chaotic behavior) (See also 37D45)
- Subjects
- Dates
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Issue 29 (24 July 2009)
Received 13 February 2009, in final form 28 May 2009
Published 6 July 2009
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On generalized synchronization of different-order chaotic systems: a submanifold approach
J P García-Sandoval et al 2009 J. Phys. A: Math. Theor. 42 295101
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