Chaos and Maps in Relativistic Dynamical Systems
The basic work of Zaslavskii et al showed that the classical non-relativistic electromagnetically kicked oscillator can be cast into the
345 indexed results
The basic work of Zaslavskii et al showed that the classical non-relativistic electromagnetically kicked oscillator can be cast into the
We study the quantum-interference effect in the ballistic Aharonov-Bohm (AB) billiard. The wave-number averaged conductance and the correlation function of
The author has identified quantumlike mechanics in atmospheric flows with intrinsic nonlocal space-time connections manifested as the selfsimilar fractal geometry
A particular example of chaos can be conceived in the interaction of non-linear oscillator with a harmonic gravitational wave. When
Chaos synchronization in one of charge-carrier dynamical systems in photoconductors is studied within both the replica and nonreplica approaches.It has
Energy absorption by driven chaotic systems, the theory of energy spreading and quantal Brownian motion are considered. In particular we
The dynamics of closed scalar field FRW cosmological models is studied for several types of exponentially and more than exponentially
A spherically symmetric excitations of the Polyakov - t' Hooft monopole are considered. In the framework of the geodesics deviation
The behaviour of an electron in a potential that resembles that of a bidimensional solid with a perpendicular magnetic field
Chaotic autoionization of the relativistic two-electron atom is investigated. A theoretical analysis of chaotic dynamics of the relativistic outer electron
In this paper we describe the rescattering process in optical field ionization through a one-dimensional model, which improves the well-known
The paper examines the discrete-time dynamics of neuron models (of excitatory and inhibitory types) with piecewise linear activation functions, which
We investigate the decay process from a time dependent potential well in the semiclassical regime. The classical dynamics is chaotic
It is shown that superefficient Monte Carlo computations can be carried out by using chaotic dynamical systems as non-uniform random-number
Chaotization of supercritical (Z>137) hydrogenlike atom in the monochromatic field is investigated. A theoretical analysis of chaotic dynamics of the
I study the recurrence D(n)= D(D(n-1))+D(n-1-D(n-2)), D(1)=D(2)=1. Its definition has some similarity to that of Conway's sequence defined through a(n)=
Based on the Hilbert space approach to the theory of nonlinear dynamical systems developed by the author a hypothesis is
It is generally accepted that statistics of energy levels in closed chaotic quantum systems is adequately described by the theory
A simple method to perform chaos control without the need of complex numerical and analytical calculations is proposed. The method
Upon addition of noise, chaotic motion in low-dimensional dynamical systems can sometimes be transformed into nonchaotic dynamics: namely, the largest
Atmospheric flows exhibit cantorian fractal space-time fluctuations signifying long-range spatiotemporal correlations. A recently developed cell dynamical system model shows that
A simple technique for decoding an unknown modulated chaotic time-series is presented. We point out that, by fitting a polynomial
Utilization of chaotic signals for covert communications remains a very promising practical application. Multiple studies indicated that the major shortcoming
We calculate the joint probability distribution of the Wigner-Smith time-delay matrix $Q=-i\hbar S^{-1} \partial S/\partial ε$ and the scattering matrix