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]

open access: yes, 2010
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]

open access: yes, 2005
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]

open access: yes, 2002
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

open access: yes, 2003
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

open access: yes, 2004
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]

open access: yes, 2004
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

Simple model of bouncing ball dynamics. Displacement of the limiter assumed as a cubic function of time

open access: yes, 2012
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

open access: yes, 2017
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

open access: yes, 2002
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

open access: yes, 2002
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

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