Using techniques from active control theory, we demonstrate that two coupled chaotic systems can be phase and anti-phase synchronized. The techniques are applied to Lorenz, Rossler, and Chen systems.  2002 Elsevier Science B.V. All rights reserved.

The dynamics of a local community of competing species with weak immigration from a static regional pool is studied. Implementing the generalized competitive Lotka-Volterra model with demographic noise, a rich dynamics structure with four qualitatively distinct phases is unfolded. When the overall interspecies competition is weak, the island species are a sample of the mainland species. For hig...

Complexity, Risk, and Financial Markets completes a trilogy of books on chaos and fractal analysis. Fractal analysis examines self-similarity or scale invariance, a structure that is often present in seemingly random and otherwise complex processes. Time series, for example, exhibit self-similarity if subsamples resemble compressed versions of longer samples. Pioneered by engineers, mathematici...

Holism, nonlinear dynamics, sensitive dependence on initial conditions, and selforganization are examined in an effort to determine whether these concepts have applicability to research and theory on crime, criminals, and the criminal justice system. It is concluded that these concepts, all part of a growing science of chaos, show promise of clarifying conflicting empirical findings and resolvi...

We study the simplified control for a novel class of four-dimensional (4-D) fractionalorder chaos in this paper. Firstly, a novel class of 4-D fractional-order chaos is introduced, which can express many actual projects. Secondly, a new simplified controller based on sliding mode theory which needs only one single control input is designed for the control of the proposed class systems. Furtherm...