stochastic system

Using nonisochronicity to control synchronization in ensembles of nonidentical oscillators

We investigate the transition to synchronization in ensembles of coupled oscillators with quenched disorder. We find that small coupling is able to increase the frequency disorder and to induce a spread of oscillator frequencies. This new effect of …

Phase synchronization in noisy oscillators with nonisochronicity

We study the synchronization of two nonidentical oscillators with nonvanishing nonisochronicity under the presence of uncorrelated Gaussian noise. To measure the amount of synchronization we calculate the evolution of the phase difference. Without …

Categories of chaos and fractal basin boundaries in forced predator–prey models

Biological communities are affected by perturbations that frequently occur in a more-or-less periodic fashion. In this communication we use the circle map to summarize the dynamics of one such community – the periodically forced Lotka–Volterra …

Ecology: nonlinearity and the Moran effect

The study of synchronization phenomena in ecology is important because it helps to explain interactions between population dynamics and extrinsic environmental variation. Grenfell et al. have examined synchronized fluctuations in the sizes of two …

Chaos and phase synchronization in ecological systems

An ecological population model is presented for the purposes of exploring complex synchronization phenomena in biological systems. The model describes a three level predator–prey–resource system which oscillates with Uniform Phase evolution, yet has …

Chaotic waves and phase synchronization in spatially extended ecological systems

An ecological population model is presented for the purposes of exploring complex synchronization phenomena in biological systems. The model describes a three level predator–prey–resource system which oscillates with Uniform Phase evolution, yet has …

Zeitreihenanalyse und Modellierung regulärer und irregulärer Photosyntheseoszillationen bei Crassulaceen-Säurestoffwechsel-Pflanzen