Nature is characterized by its chaotic behavior. Mathematics is considered one of the appropriate tools to achieve the best definition of possible its chaos variables and process. Classical mathematics deals with the numbers as static and meaningless, but chaos mathematics deals with it as dynamic evolutionary, and value- added. This paper attempts to introduce the transportation problem re...

In this paper we prove the occurence of chaos for charged particles moving around a Schwarzschild black hole, perturbed by special classes of electromagnetic fields. The appearance of chaos is studied resorting to the Poincaré-Melnikov method. Submitted to: Class. Quantum Grav. PACS numbers: 04.20.-q, 05.45.-a, 95.10.Fh, 95.30.Sf Chaos in Black Holes Surrounded by Electromagnetic Fields 2

Nowadays there is no universally accepted definition of quantum chaos. In this paper we review and critically discuss different approaches to the subject, such as Quantum Chaology and the Random Matrix Theory. Then we analyze the problem of dynamical chaos and the time scales associated with chaos suppression in quantum mechanics. PACS Numbers: 05.45.+b, 03.65.Bz

‎in the following text for arbitrary $x$ with at least two elements‎, ‎nonempty countable set $gamma$‎ ‎we make a comparative study on the collection of generalized shift dynamical systems like $(x^gamma,sigma_varphi)$ where $varphi:gammatogamma$ is an arbitrary self-map‎. ‎we pay attention to sub-systems and combinations of generalized shifts with counterexamples regarding devaney‎, ‎exact dev...

different discrete models of population dynamics of certain insects have been investigated under various feasible conditions within the framework of nonlinear dynamics. evolutionary phenomena are discussed through bifurcation analysis leading to chaos. some tools of nonlinear dynamics, such as lyapunov characteristic exponents (lce), lyapunov numbers, correlation dimension, etc. are calculated ...

We consider the semiclassical approximation to the spectral form factor K(τ) for twodimensional uniformly hyperbolic systems, and derive the first off-diagonal correction for small τ . The result agrees with the τ -term of the form factor for the GOE random matrix ensemble. PACS numbers: 03.65.Sq Semiclassical theories and applications. 05.45.Mt Semiclassical chaos (“quantum chaos”). 1 E-mail: ...