TY  - JOUR
A1  - Srinivasan, K.
A1  - Senthilkumar, D. V.
A1  - Mohamed, I. Raja
A1  - Murali, K.
A1  - Lakshmanan, M.
A1  - Kurths, Jürgen
T1  - Anticipating, complete and lag synchronizations in RC phase-shift network based coupled Chua's circuits without delay
JF  - Chaos : an interdisciplinary journal of nonlinear science
N2  - We construct a new RC phase shift network based Chua's circuit, which exhibits a period-doubling bifurcation route to chaos. Using coupled versions of such a phase-shift network based Chua's oscillators, we describe a new method for achieving complete synchronization (CS), approximate lag synchronization (LS), and approximate anticipating synchronization (AS) without delay or parameter mismatch. Employing the Pecora and Carroll approach, chaos synchronization is achieved in coupled chaotic oscillators, where the drive system variables control the response system. As a result, AS or LS or CS is demonstrated without using a variable delay line both experimentally and numerically.
Y1  - 2012
U6  - https://doi.org/10.1063/1.4711375
SN  - 1054-1500
VL  - 22
IS  - 2
PB  - American Institute of Physics
CY  - Melville
ER  - 
TY  - JOUR
A1  - Srinivasan, K.
A1  - Senthilkumar, Dharmapuri Vijayan
A1  - Murali, K.
A1  - Lakshmanan, Muthusamy
A1  - Kurths, Jürgen
T1  - Synchronization transitions in coupled time-delay electronic circuits with a threshold nonlinearity
JF  - Chaos : an interdisciplinary journal of nonlinear science
N2  - Experimental observations of typical kinds of synchronization transitions are reported in unidirectionally coupled time-delay electronic circuits with a threshold nonlinearity and two time delays, namely feedback delay tau(1) and coupling delay tau(2). We have observed transitions from anticipatory to lag via complete synchronization and their inverse counterparts with excitatory and inhibitory couplings, respectively, as a function of the coupling delay tau(2). The anticipating and lag times depend on the difference between the feedback and the coupling delays. A single stability condition for all the different types of synchronization is found to be valid as the stability condition is independent of both the delays. Further, the existence of different kinds of synchronizations observed experimentally is corroborated by numerical simulations and from the changes in the Lyapunov exponents of the coupled time-delay systems.
Y1  - 2011
U6  - https://doi.org/10.1063/1.3591791
SN  - 1054-1500
VL  - 21
IS  - 2
PB  - American Institute of Physics
CY  - Melville
ER  - 
TY  - JOUR
A1  - Zaikin, Alexei A.
A1  - Murali, K.
A1  - Kurths, Jürgen
T1  - Simple electronic circuit model for doubly stochastic resonance
N2  - We have recently reported the phenomenon of doubly stochastic resonance [Phys. Rev. Lett. 85, 227 (2000)], a synthesis of noise-induced transition and stochastic resonance. The essential feature of this phenomenon is that multiplicative noise induces a bimodality and additive noise causes stochastic resonance behavior in the induced structure. In the present paper we outline possible applications of this effect and design a simple lattice of electronic circuits for the experimental realization of doubly stochastic resonance.
Y1  - 2001
UR  - http://link.aps.org/abstract/PRE/v63/e020103
ER  -