Extreme events in dynamical systems and random walkers: A review

SN Chowdhury, A Ray, SK Dana, D Ghosh - Physics Reports, 2022 - Elsevier
Extreme events gain the attention of researchers due to their utmost importance in various
contexts ranging from climate to brain. An observable that deviates significantly from its long …

Chaogates: Morphing logic gates that exploit dynamical patterns

WL Ditto, A Miliotis, K Murali, S Sinha… - … Journal of Nonlinear …, 2010 - pubs.aip.org
Chaotic systems can yield a wide variety of patterns. Here we use this feature to generate all
possible fundamental logic gate functions. This forms the basis of the design of a dynamical …

Dynamics based computation

S Sinha, WL Ditto - physical review Letters, 1998 - APS
We demonstrate the ability of lattices of coupled chaotic maps to perform simple
computations. This dynamical system is shown to emulate logic gates, encode numbers, and …

Extreme events in globally coupled chaotic maps

SN Chowdhury, A Ray, A Mishra… - Journal of Physics …, 2021 - iopscience.iop.org
Understanding and predicting uncertain things are the central themes of scientific evolution.
Human beings revolve around these fears of uncertainties concerning various aspects like a …

Computing with distributed chaos

S Sinha, WL Ditto - Physical Review E, 1999 - APS
We describe and discuss in detail some recent results by Sinha and Ditto [Phys. Rev. Lett.
81, 2156 (1998)] demonstrating the capacity of a lattice of threshold coupled chaotic maps to …

Self-organized criticality in nonconserved systems

AA Middleton, C Tang - Physical Review Letters, 1995 - APS
The origin of self-organized criticality in a model without conservation law [Z. Olami, H.
Feder, and K. Christensen, Phys. Rev. Lett. 68, 1244 (1992)] is studied. The initially periodic …

Generating multi-scroll chaotic attractors by thresholding

J Lü, K Murali, S Sinha, H Leung, MA Aziz-Alaoui - Physics Letters A, 2008 - Elsevier
This Letter proposes a novel thresholding approach for creating multi-scroll chaotic
attractors. The general jerk circuit and Chua's circuit with sine nonlinearity are then used as …

Intermittent large deviation of chaotic trajectory in Ikeda map: Signature of extreme events

A Ray, S Rakshit, D Ghosh, SK Dana - Chaos: An Interdisciplinary …, 2019 - pubs.aip.org
We notice signatures of extreme eventslike behavior in a laser based Ikeda map. The
trajectory of the system occasionally travels a large distance away from the bounded chaotic …

Evidence of universality for the May-Wigner stability theorem for random networks with local dynamics

S Sinha, S Sinha - Physical Review E—Statistical, Nonlinear, and Soft …, 2005 - APS
We consider a random network of nonlinear maps exhibiting a wide range of local dynamics,
with the links having normally distributed interaction strengths. The stability of such a system …

Experimental realization of chaos control by thresholding

K Murali, S Sinha - Physical Review E, 2003 - APS
We report the experimental verification of thresholding as a versatile tool for efficient and
flexible chaos control. The strategy here simply involves monitoring a single state variable …