Name
Title | ||
|---|---|---|
New hybrid synchronisation schemes based on coexistence of various types of synchronisation between master-slave hyperchaotic systems. |
Abstract | ||
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In this paper, we present new approaches to study the co-existence of some types of synchronisation between hyperchaotic dynamical systems. The paper first analyses, based on stability theory of linear continuous-time systems, the co-existence of the projective synchronisation PS, the function projective synchronisation FPS, the full state hybrid function projective synchronisation FSHFPS and the generalised synchronisation GS between general master and slave hyperchaotic systems. Successively, using Lyapunov stability theory, the co-existence of three different synchronisation types is proved, i.e., the inverse projective synchronisation IPS, the inverse function projective synchronisation IFPS, the inverse full state hybrid function projective synchronisation IFSHFPS and the inverse generalised synchronisation IGS are proved to co-exist between arbitrary master and slave systems. Finally, several numerical simulations of co-existence of synchronisation types are illustrated, with the aim to show the effectiveness of the approaches developed herein. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1504/IJCAT.2017.082868 | IJCAT |
Keywords | Field | DocType |
hyperchaotic systems, synchronisation, inverse types, Lyapunov stability, nonlinear control | Synchronization,Nonlinear control,Control theory,Lyapunov stability,Inverse function,Control engineering,Dynamical systems theory,Master/slave,Piecewise,Mathematics,Stability theory | Journal |
Volume | Issue | ISSN |
55 | 2 | 0952-8091 |
Citations | PageRank | References |
1 | 0.38 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Adel Ouannas | 1 | 11 | 6.76 |
| Ahmad Taher Azar | 2 | 685 | 83.73 |
| Sundarapandian Vaidyanathan | 3 | 54 | 22.09 |