On Λ −ϕ generalized synchronization of chaotic dynamical systems in continuous–time

2016 ◽  
Vol 225 (1) ◽  
pp. 187-196 ◽  
Author(s):  
A. Ouannas ◽  
M.M. Al-sawalha
Keyword(s):  
Dynamical Systems ◽  
Continuous Time ◽  
Generalized Synchronization ◽  
Chaotic Dynamical Systems

scholarly journals Generalized synchronization of identical and nonidentical chaotic dynamical systems via master approaches

2017 ◽  
Vol 7 (3) ◽  
pp. 248-254
Author(s):  
Shko Ali-Tahir ◽  
Murat Sari ◽  
Abderrahman Bouhamidi
Keyword(s):  
Dynamical Systems ◽  
Numerical Simulations ◽  
Lyapunov Stability ◽  
Stability Theory ◽  
Lyapunov Stability Theory ◽  
Generalized Synchronization ◽  
Chaotic Dynamical Systems

The main objective of this work is to discuss a generalized synchronization of a coupled chaotic identicaland nonidentical dynamical systems. We propose a method used to study generalized synchronization in masterslavesystems. This method, is based on the classical Lyapunov stability theory, utilizes the master continuous timechaotic system to monitor the synchronized motions. Various numerical simulations are performed to verify theeffectiveness of the proposed approach.

MIXED STATE ANALYSIS OF MULTIVARIATE TIME SERIES

2001 ◽  
Vol 11 (08) ◽  
pp. 2217-2226 ◽  
Author(s):  
MARTIN WIESENFELDT ◽  
ULRICH PARLITZ ◽  
WERNER LAUTERBORN
Keyword(s):  
Time Series ◽  
Dynamical Systems ◽  
Mixed State ◽  
Weak Coupling ◽  
Multivariate Time Series ◽  
Generalized Synchronization ◽  
Mixed States ◽  
Chaotic Dynamical Systems ◽  
Measured Time ◽  
State Analysis

A method is presented for detecting weak coupling between (chaotic) dynamical systems below the threshold of (generalized) synchronization. This approach is based on reconstruction of mixed states consisting of delayed samples taken from simultaneously measured time series of both systems.

Linear Generalized Synchronization Using Bidirectional Coupling

2015 ◽  
Vol 16 (2) ◽  
pp. 67-72
Author(s):  
Mauparna Nandan ◽  
Sourav K. Bhowmick ◽  
Pinaki Pal
Keyword(s):  
Dynamical Systems ◽  
Stability Criterion ◽  
Coupling Scheme ◽  
Generalized Synchronization ◽  
Hurwitz Stability ◽  
Chaotic Dynamical Systems ◽  
Bidirectional Coupling ◽  
Coupling Strategy ◽  
Stable Linear

AbstractWe present a bidirectional coupling strategy to establish targeted linear generalized synchronization between two mismatched continuous chaotic dynamical systems. The strategy is based on Routh–Hurwitz stability criterion. Using the proposed coupling scheme we are able to achieve stable linear generalized synchronization between two mismatched chaotic dynamical systems. The coupling strategy is illustrated using the paradigmatic Lorenz, Rössler and Sprott systems.

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