Results 1 to 10 of about 436,415 (124)
Simple model of bouncing ball dynamics: displacement of the table assumed as quadratic function of time [PDF]
Nonlinear dynamics of a bouncing ball moving in gravitational field and colliding with a moving limiter is considered. Displacement of the limiter is a quadratic function of time.
A. Okninski+17 more
core +1 more source
Control of stochasticity in magnetic field lines [PDF]
We present a method of control which is able to create barriers to magnetic field line diffusion by a small modification of the magnetic perturbation. This method of control is based on a localized control of chaos in Hamiltonian systems.
Chandre, Cristel+4 more
core +6 more sources
Anomalous power law of quantum reversibility for classically regular dynamics [PDF]
The Loschmidt Echo M(t) (defined as the squared overlap of wave packets evolving with two slightly different Hamiltonians) is a measure of quantum reversibility. We investigate its behavior for classically quasi-integrable systems.
C. W. J Beenakker+7 more
core +3 more sources
Shot noise from action correlations
We consider universal shot noise in ballistic chaotic cavities from a semiclassical point of view and show that it is due to action correlations within certain groups of classical trajectories.
D. Spehner+23 more
core +1 more source
Local control of Hamiltonian chaos
We review a method of control for Hamiltonian systems which is able to create smooth invariant tori. This method of control is based on an apt modification of the perturbation which is small and localized in phase ...
C Chandre+14 more
core +4 more sources
Controlling chaotic transport in a Hamiltonian model of interest to magnetized plasmas [PDF]
We present a technique to control chaos in Hamiltonian systems which are close to integrable. By adding a small and simple control term to the perturbation, the system becomes more regular than the original one.
C Chandre+14 more
core +5 more sources
Nonlinear dynamics of a bouncing ball moving vertically in a gravitational field and colliding with a moving limiter is considered and the Poincare map, describing evolution from an impact to the next impact, is described.
A. Okniński+17 more
core +1 more source
Hypersensitivity to perturbations of quantum-chaotic wave-packet dynamics
We re-examine the problem of the "Loschmidt echo", which measures the sensitivity to perturbation of quantum chaotic dynamics. The overlap squared $M(t)$ of two wave packets evolving under slightly different Hamiltonians is shown to have the double ...
A. Peres+19 more
core +1 more source
Fractal structures of normal and anomalous diffusion in nonlinear nonhyperbolic dynamical systems
A paradigmatic nonhyperbolic dynamical system exhibiting deterministic diffusion is the smooth nonlinear climbing sine map. We find that this map generates fractal hierarchies of normal and anomalous diffusive regions as functions of the control ...
Klages, R., Korabel, N.
core +1 more source
Fidelity and Purity Decay in Weakly Coupled Composite Systems
We study the stability of unitary quantum dynamics of composite systems (for example: central system + environment) with respect to weak interaction between the two parts.
Benenti G+22 more
core +1 more source