This paper concerns the magneto-fluid dynamics modeled by the stochastic flow where the turbulent term is driven by the random forcing. Magnetohydrodynamic (MHD) turbulence can be interpreted in terms of a standard map (SM), modeling perturbed Hamiltonian systems, to explain some of the features...

This study investigates empirically the presence of nonlinearities in the Athens Composite Share Price Index high-frequency returns. A preliminary analysis indicates that volatility exhibits a periodic intraday inverse J-shaped pattern, associated with the opening and closing of the market....

Noise has crucial effects on biological processes, chemical reactions, and various chaotic systems. This study explores the dynamical properties of noise in random Boolean networks, in which the stochasticity may cause significant deviations from deterministic descriptions. Such noise is...

We study numerically the dynamical behavior of a classical particle inside a box potential that contains a square well which depth varies in time. Two cases of time dependence are investigated: periodic and stochastic. The periodic case is similar to the one-dimensional Fermi accelerator model,...

In this paper, the adaptive synchronization and lag synchronization are considered for uncertain dynamical system with time delay based on parameter identification and a novel control method is then further given using the Lyapunov functional method. With this new and effective method, parameter...

The attractor in usual box-counting methods is partitioned with a fixed grid. We describe an algorithm whose boxes can move into the phase space and adapt to the geometry of the attractor. Lyapunov exponents and the singularity spectrum from time series are estimated using this algorithm.

We present an analytical computation of the asymptotic temporal behavior of the information geometric complexity (IGC) of finite-dimensional Gaussian statistical manifolds in the presence of microcorrelations (correlations between microvariables). We observe a power law decay of the IGC at a...