Generalized chaos synchronization of discrete maps via linear transformations

Publication Issue: 
Volume 29, Number 3&4, 2008
Page No: 
Date Received: 
Monday, December 15, 2008
Authors' Name: 
Swarup Poriaa
Anindita Taraib
Prasanta Chatterjeec
Authors' Affiliation and Address: 
aDepartment of Applied Mathematics, The University of Calcutta, Kolkata, West Bengal, India
bDepartment of Mathematics, Aligunj R.R.B. High School, Midnapore (West), West Bengal, India
cDepartment of Mathematics,Visva Bharati University, Santiniketan, India

A generalized approach for constructing chaotically synchronized discrete dynamical
systems via linear transformation is proposed in this paper. The generalized Henon map is
treated as an example. The proposed method is simpler than the conventional methods
because here we need not required to calculate the Lyapunov exponents. In our method the
functional relationship between the states of the driving system and driven system can be
determined. Therefore knowing the driven system the behavior of the drive system can be
predicted in advance here. This synchronization scheme may be used for sending secret
message for the purpose of communications.

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