428 research outputs found
Amplitude death and resurgence of oscillation in network of mobile oscillators
The phenomenon of amplitude death has been explored using a variety of
different coupling strategies in the last two decades. In most of the work, the
basic coupling arrangement is considered to be static over time, although many
realistic systems exhibit significant changes in the interaction pattern as
time varies. In this article, we study the emergence of amplitude death in a
dynamical network composed of time-varying interaction amidst a collection of
random walkers in a finite region of three dimensional space. We consider an
oscillator for each walker and demonstrate that depending upon the network
parameters and hence the interaction between them, global oscillation in the
network gets suppressed. In this framework, vision range of each oscillator
decides the number of oscillators with which it interacts. In addition, with
the use of an appropriate feedback parameter in the coupling strategy, we
articulate how the suppressed oscillation can be resurrected in the systems'
parameter space. The phenomenon of amplitude death and the resurgence of
oscillation is investigated taking limit cycle and chaotic oscillators for
broad ranges of parameters, like interaction strength k between the entities,
vision range r and the speed of movement v.Comment: 7 pages, 7 figures (Accepted for publication in Europhysics Letters,
July 2017
ASSESSING CHANGES IN SOIL EROSION RATES: A MARKOV CHAIN ANALYSIS
Markov chain analysis (one-step and long-run) is applied to the National Resources Inventory (NRI) database to evaluate changes in wind-based soil erosion rates over time. The research compares changes in soil erosion rates between NRI sample sites with and without applied conservation practices for a random sample of Great Plains counties. No significant differences between sites are found for half of the counties evaluated. The effectiveness and efficiency of conservation policies are thus questioned in light of these research results.conservation, Markov, National Resources Inventory, policy, soil erosion, Land Economics/Use,
Resurgence of oscillation in coupled oscillators under delayed cyclic interaction
This paper investigates the emergence of amplitude death and revival of
oscillations from the suppression states in a system of coupled dynamical units
interacting through delayed cyclic mode. In order to resurrect the oscillation
from amplitude death state, we introduce asymmetry and feedback parameter in
the cyclic coupling forms as a result of which the death region shrinks due to
higher asymmetry and lower feedback parameter values for coupled oscillatory
systems. Some analytical conditions are derived for amplitude death and revival
of oscillations in two coupled limit cycle oscillators and corresponding
numerical simulations confirm the obtained theoretical results. We also report
that the death state and revival of oscillations from quenched state are
possible in the network of identical coupled oscillators. The proposed
mechanism has also been examined using chaotic Lorenz oscillator.Comment: 16 pages, 13 figure
Bicomplex Version of Lebesgue's Dominated Convergence Theorem and Hyperbolic Invariant Measure
In this article we have studied bicomplex valued measurable functions on an
arbitrary measurable space. We have established the bicomplex version of
Lebesgue's dominated convergence theorem and some other results related to this
theorem. Also we have proved the bicomplex version of Lebesgue-Radon-Nikodym
theorem. Finally we have introduced the idea of hyperbolic version of invariant
measure
Synchronization of chaotic modulated time delay networks in presence of noise
We study the constructive role of noises in a Lorenz system with functional
delay. The effect of delay can change the dynamics of the system to a chaotic
one from its steady state. Induced synchronization with white and colored (red
and green) noises are observed between two identical uncoupled systems and
enhancement of synchrony is also observed with unidirectional coupling. We
investigate both the phenomena in a globally coupled network in the presence of
white and color noises.Comment: 10 pages, 7 figure
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