Synchronizing chaotic systems up to an arbitrary scaling matrix via a single signal |
| |
Authors: | Giuseppe Grassi Damon A. Miller |
| |
Affiliation: | a Dipartimento Ingegneria Innovazione, Università del Salento, 73100 Lecce, Italy b Department of Electrical and Computer Engineering, Western Michigan University, Kalamazoo, MI 49008, USA |
| |
Abstract: | This paper introduces a novel type of synchronization, where two chaotic systems synchronize up to an arbitrary scaling matrix. In particular, each drive system state synchronizes with a linear combination of response system states by using a single synchronizing signal. The proposed observer-based method exploits a theorem that assures asymptotic synchronization for a wide class of continuous-time chaotic (hyperchaotic) systems. Two examples, involving Rössler’s system and a hyperchaotic oscillator, show that the proposed technique is a general framework to achieve any type of synchronization defined to date. |
| |
Keywords: | Chaos synchronization Observer-based synchronization Chaotic systems with attractor scaling Projective synchronization Full state hybrid projective synchronization |
本文献已被 ScienceDirect 等数据库收录! |
|