Title: Amplitude death and resurgence of oscillation in network of mobile oscillators,
Abstract: 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.