We study the collective escape dynamics of a chain of coupled, weakly damped nonlinear oscillators from a metastable state over a barrier when driven by a thermal heat bath in combination with a weak, globally acting periodic perturbation. Optimal parameter choices are identified that lead to a drastic enhancement of escape rates as compared to a pure noise-assisted situation. We elucidate the ...

aBstraCt Due to the new technology development, mobile ad hoc networks are becoming very important. The nodes that make up the mobile ad hoc network are battery powered. The problem of conserving energy at nodes is very important and a challenging one. In this article we present an Energy Aware Multi-path Dynamic Source Routing protocol (EA-MPDSR). This protocol is based on the existing on-dema...

Duffing harmonic oscillator is a common model for nonlinear phenomena in science and engineering. This paper presents He´s Energy Balance Method (EBM) for solving nonlinear differential equations. Two strong nonlinear cases have been studied analytically. Analytical results of the EBM are compared with the solutions obtained by using He´s Frequency Amplitude Formulation (FAF) and numerical solu...

Fluctuational transitions between two coexisting attractors are investigated. Two different systems are considered: the periodically driven nonlinear oscillator and the two-dimensional map introduced by Holmes. These two systems have smooth and fractal boundaries, respectively, separating their coexisting attractors. It is shown that, starting from a cycle embedded in the chaotic attractor, the...

abstract mutations have been described in all of the four open reading frames of the hepatitis b virus (hbv), however, from a clinical perspective the surface escape mutant is the most troublesome. hepatitis b surface antigen (hbsag) variants may impair diagnosis, or allow the virus to escape vaccine-induced immunity or passive immunoglobulin therapy. hbv mutants with amino acid substitutions, ...

We study the dynamics of a collection of nonlinearly coupled limit cycle oscillators relevant to a wide class of systems, ranging from neuronal populations to electrical circuits, over network topologies varying from a regular ring to a random network. We find that for sufficiently strong coupling strengths the trajectories of the system escape to infinity in the regular ring network. However w...

In this work, we present a model to elucidate the unidirectionality of the primary charge-separation process in the bacterial reaction centers. We have used a model of three sites/molecules with electron transfer beginning at site 1 with an option to proceed to site 2 or site 3. We used a stochastic model with arbitrary correlation functions. We get the quantum yields of electron escape via the...

The phase response curve (PRC) of a half-center oscillator (HCO), which is formed by a pair of reciprocally inhibitory model neurons that exhibit anti-phase rhythms, is computed and used to identify the underlying mechanism of the HCO. The two distinct mechanisms, “release” and “escape”, give rise to two differently shaped PRCs. We use phase plane analysis to explain why the PRC is shaped diffe...

In the preceding paper (Arbas and Calabrese, 1987), we identified several properties that contribute to the activity of neurons (HN cells) that control heartbeat in the medicinal leech. Premotor HN (7) interneurons, which do not generate the heartbeat rhythm, exhibit Na+-dependent fast action potentials, Ca2+-mediated plateau potentials in the absence of Na+, and hyperpolarization-activated "re...