134 research outputs found
Intrinsic noise induced resonance in presence of sub-threshold signal in Brusselator
In a system of non-linear chemical reactions called the Brusselator, we show
that {\it intrinsic noise} can be regulated to drive it to exhibit resonance in
the presence of a sub-threshold signal. The phenomena of periodic stochastic
resonance and aperiodic stochastic resonance, hitherto studied mostly with
extrinsic noise, is demonstrated here to occur with inherent systemic noise
using exact stochastic simulation algorithm due to Gillespie. The role of
intrinsic noise in a couple of other phenomena is also discussed.Comment: 7 pages, 5 figure
Emergence of the stochastic resonance in glow discharge plasma
stochastic resonance, glow discharge plasma, excitable medium, absolute mean
differenceComment: St
Controlling turbulence in coupled map lattice systems using feedback techniques
We report the suppression of spatiotemporal chaos observed in coupled map lattices. Suppression is achieved using different feedback techniques, most of which are applicable to actual experimental situations. Results from application of feedback control to a single chaotic element (single map) are presented to demonstrate similarities in the dynamical response of a single system and an extended system under the influence of external feedback
Regulating dynamics through intermittent interactions
In this letter, we experimentally demonstrate an efficient scheme to regulate
the behaviour of coupled nonlinear oscillators through dynamic control of their
interaction. It is observed that introducing intermittency in the interaction
term as a function of time or the system state, predictably alters the dynamics
of the constituent oscillators. Choosing the nature of the interaction -
attractive or repulsive, allows for either suppression of oscillations or
stimulation of activity. Two parameters and , that reign the
extent of interaction among subsystems are introduced. They serve as a harness
to access the entire range of possible behaviours from fixed points to chaos.
For fixed values of system parameters and coupling strength, changing
and offers fine control over the dynamics of coupled subsystems. We show
this experimentally using coupled Chua's circuits and elucidate their behaviour
for a range of coupling parameters through detailed numerical simulations.Comment: To be published in Physical Review
Birhythmicity induced by perturbing an oscillating electrochemical system
We describe the generation of new limit cycles in electrochemical systems under the influence of external periodic perturbations. For certain specific parameters of a nonharmonic forcing function, two coexisting periodic orbits can be generated from a single limit cycle observed in the unperturbed dynamics. This inception of birhythmicity (bistability) is observed in both simulations and actual experiments involving potentiostatic electrodissolution of copper in an acetate buffer
A Memory-Based Approach to Model Glorious Uncertainties of Love
We propose a minimal yet intriguing model for a relationship between two
individuals. The feeling of an individual is modeled by a complex variable and
hence has two degrees of freedom. The effect of memory of other individual's
behavior in the past has now been incorporated via a conjugate coupling between
each other's feelings. A region of parameter space exhibits multi-stable
solutions wherein trajectories with different initial conditions end up in
different aperiodic attractors. This aligns with the natural observation that
most relationships are aperiodic and unique not only to themselves but, more
importantly, to the initial conditions too. Thus, the inclusion of memory makes
the task of predicting the trajectory of a relationship hopelessly impossible.Comment: 4+1 pages, 4+1 figure
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