1,973 research outputs found
Complete synchronization in coupled Type-I neurons
For a system of type-I neurons bidirectionally coupled through a nonlinear
feedback mechanism, we discuss the issue of noise-induced complete
synchronization (CS). For the inputs to the neurons, we point out that the rate
of change of instantaneous frequency with the instantaneous phase of the
stochastic inputs to each neuron matches exactly with that for the other in the
event of CS of their outputs. Our observation can be exploited in practical
situations to produce completely synchronized outputs in artificial devices.
For excitatory-excitatory synaptic coupling, a functional dependence for the
synchronization error on coupling and noise strengths is obtained. Finally we
report an observation of noise-induced CS between non-identical neurons coupled
bidirectionally through random non-zero couplings in an all-to- all way in a
large neuronal ensemble.Comment: 24 pages, 9 figure
Emergence of synchronization induced by the interplay between two prisoner's dilemma games with volunteering in small-world networks
We studied synchronization between prisoner's dilemma games with voluntary
participation in two Newman-Watts small-world networks. It was found that there
are three kinds of synchronization: partial phase synchronization, total phase
synchronization and complete synchronization, for varied coupling factors.
Besides, two games can reach complete synchronization for the large enough
coupling factor. We also discussed the effect of coupling factor on the
amplitude of oscillation of density.Comment: 6 pages, 4 figure
Synchronization of Random Linear Maps
We study synchronization of random one-dimensional linear maps for which the
Lyapunov exponent can be calculated exactly. Certain aspects of the dynamics of
these maps are explained using their relation with a random walk. We confirm
that the Lyapunov exponent changes sign at the complete synchronization
transition. We also consider partial synchronization of nonidentical systems.
It turns out that the way partial synchronization manifests depends on the type
of differences (in Lyapunov exponent or in contraction points) between the
systems. The crossover from partial synchronization to complete synchronization
is also examined.Comment: 5 pages, 6 figure
Synchronization in discrete-time networks with general pairwise coupling
We consider complete synchronization of identical maps coupled through a
general interaction function and in a general network topology where the edges
may be directed and may carry both positive and negative weights. We define
mixed transverse exponents and derive sufficient conditions for local complete
synchronization. The general non-diffusive coupling scheme can lead to new
synchronous behavior, in networks of identical units, that cannot be produced
by single units in isolation. In particular, we show that synchronous chaos can
emerge in networks of simple units. Conversely, in networks of chaotic units
simple synchronous dynamics can emerge; that is, chaos can be suppressed
through synchrony
Analytic Determination of the Critical Coupling for Oscillators in a Ring
We study a model of coupled oscillators with bidirectional first nearest
neighbours coupling with periodic boundary conditions. We show that a stable
phase-locked solution is decided by the oscillators at the borders between the
major clusters, which merge to form a larger one of all oscillators at the
stage of complete synchronization. We are able to locate these four oscillators
as well as the size of major clusters in the vicinity of the stage of full
synchronization which we show to depend only on the set of initial frequencies.
Using the method presented here, we are able to obtain an analytic form of the
critical coupling, at which the complete synchronization state occurs.Comment: 5 pages and 3 figure
- …