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Continuous-time chaotic systems：Arbitrary full-state hybrid projective synchronization via a scalar signal |
| Giuseppe Grassi |
| Dipartimento Ingegneria Innovazione, Universitá del Salento-73100 Lecce, Italy |
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Abstract Referring to continuous-time chaotic systems, this paper presents a new projective synchronization scheme, which enables each drive system state to be synchronized with a linear combination of response system states for any arbitrary scaling matrix. The proposed method, based on a structural condition related to the uncontrollable eigenvalues of the error system, can be applied to a wide class of continuous-time chaotic (hyperchaotic) systems and represents a general framework that includes any type of synchronization defined to date. An example involving a hyperchaotic oscillator is reported, with the aim of showing how a response system attractor is arbitrarily shaped using a scalar synchronizing signal only. Finally, it is shown that the recently introduced dislocated synchronization can be readily achieved using the conceived scheme.
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Received: 04 December 2012
Revised: 12 January 2013
Accepted manuscript online:
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PACS:
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05.45.-a
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(Nonlinear dynamics and chaos)
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05.45.Xt
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(Synchronization; coupled oscillators)
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Corresponding Authors:
Giuseppe Grassi
E-mail: giuseppe.grassi@unisalento.it
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Cite this article:
Giuseppe Grassi Continuous-time chaotic systems：Arbitrary full-state hybrid projective synchronization via a scalar signal 2013 Chin. Phys. B 22 080505
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