Publications

@article{PhysRevE.98.032217,
title = {Design strategies for generalized synchronization},
author = {S Chishti and R Ramaswamy },
url = {https://link.aps.org/doi/10.1103/PhysRevE.98.032217},
doi = {10.1103/PhysRevE.98.032217},
issn = {2470-0053 },
year = {2018},
date = {2018-09-24},
journal = {Physical Review E},
volume = {98},
pages = {032217},
abstract = {We describe a general procedure to couple two dynamical systems so as to guide their joint dynamics onto a specific transversally stable invariant submanifold in the phase space. This method can thus be viewed as a means of constraining the dynamics, with the coupling functions providing the forces of constraint, which results in the coupled systems being in generalized synchronization. The required coupling functions are, however, not uniquely defined and can therefore be chosen in order to satisfy a desired design criterion.},
keywords = {Generalized Synchronization, Synchronization},
pubstate = {published},
tppubtype = {article}
}

@article{Jafri2016,
title = {Generalized synchrony of coupled stochastic processes with multiplicative noise},
author = {Haider Hasan Jafri and K.Brojen R Singh and Ramakrishna Ramaswamy},
url = {https://ramramaswamy.org/papers/164.pdf},
doi = {10.1103/PhysRevE.94.052216},
issn = {24700053},
year = {2016},
date = {2016-01-01},
journal = {Physical Review E},
volume = {94},
number = {5},
pages = {1–8},
abstract = {textcopyright 2016 American Physical Society. We study the effect of multiplicative noise in dynamical flows arising from the coupling of stochastic processes with intrinsic noise. Situations wherein such systems arise naturally are in chemical or biological oscillators that are coupled to each other in a drive-response configuration. Above a coupling threshold we find that there is a strong correlation between the drive and the response: This is a stochastic analog of the phenomenon of generalised synchronization. Since the dynamical fluctuations are large when there is intrinsic noise, it is necessary to employ measures that are sensitive to correlations between the variables of drive and the response, the permutation entropy, or the mutual information in order to detect the transition to generalized synchrony in such systems.},
keywords = {Generalized Synchronization, Stochasticity},
pubstate = {published},
tppubtype = {article}
}

@article{Singh2010b,
title = {Transition to weak generalized synchrony in chaotically driven flows},
author = {T U Singh, H H Jafri, and R Ramaswamy},
url = {https://link.aps.org/doi/10.1103/PhysRevE.81.016208},
doi = {10.1103/PhysRevE.81.016208},
year = {2010},
date = {2010-01-14},
journal = {Physical Review E},
volume = {81},
number = {1},
pages = {016208},
abstract = {We study regimes of strong and weak generalized synchronization in chaotically forced nonlinear flows. The transition between these dynamical states can occur via a number of different routes, and here we examine the onset of weak generalized synchrony through intermittency and blowout bifurcations. The quantitative characterization of this dynamical transition is facilitated by measures that have been developed for the study of strange nonchaotic motion. Weak and strong generalized synchronous motion show contrasting sensitivity to parametric variation and have distinct distributions of finite-time Lyapunov exponents.},
keywords = {Chaos Theory, Generalized Synchronization},
pubstate = {published},
tppubtype = {article}
}

@article{,
title = {Design strategies for generalized synchronization},
author = { },
url = { },
doi = { },
journal = { },
volume = { },
publisher = {American Physical Society},
abstract = { },
keywords = {Chaos, Coupled Lorenz System, Generalized Synchronization},
pubstate = {published},
tppubtype = {article}
}