We study the pattern dynamics in a reaction–diffusion model of the activator–inhibitor type in the oscillatory regime. We consider finite systems with partially absorptive boundary conditions analysing examples in different geometries in one and two dimensions. We observe that the boundary...

We analyze the return of the S & P 500 index and characterize its evolution as being typical of a low-dimensional recurrent deterministic system. The first Poincaré return time of the chaotic logistic mapping trajectories is used to model the return evolution. The efficiency of the model is...

The dynamics of dissipative and coherent N-body systems, such as a Bose–Einstein condensate, which can be described by an extended Gross–Pitaevskii formalism, is investigated. In order to analyze chaotic and unstable regimes, two approaches are considered: a metric one, based on calculations...

This paper focuses on the use of dynamical chaotic systems in Economics and Finance. In these fields, researchers employ different methods from those taken by mathematicians and physicists. We discuss this point. Then, we present statistical tools and problems which are innovative and can be...

With the development of globalization and regional economic integration, regional markets linked with a common currency emerge, in which investors from domestic market are allowed to trade in foreign markets. Empirical studies have evidenced extensively the existence of co-movement of asset...

This paper proposes a novel hybrid chaotic genetic algorithm (HCGA) to solve the short-term generation scheduling of hydro system. The integration of chaotic sequence and genetic algorithm with a new self-adaptive error back-propagation mutation operator are developed, which can overcome...