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
Master equation approach to the conjugate pairing rule of Lyapunov spectra for many-particle thermostatted systems [PDF]
The master equation approach to Lyapunov spectra for many-particle systems is applied to non-equilibrium thermostatted systems to discuss the conjugate pairing rule. We consider iso-kinetic thermostatted systems with a shear flow sustained by an external
C. Wagner +43 more
core +1 more source
Quantum Entanglement dependence on bifurcations and scars in non autonomous systems. The case of Quantum Kicked Top [PDF]
Properties related to entanglement in quantum systems, are known to be associated with distinct properties of the corresponding classical systems, as for example stability, integrability and chaos.
Arrechi +41 more
core +4 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
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
Sufficient Conditions for Fast Switching Synchronization in Time Varying Network Topologies
In previous work, empirical evidence indicated that a time-varying network could propagate sufficient information to allow synchronization of the sometimes coupled oscillators, despite an instantaneously disconnected topology.
Afra movich V. +8 more
core +2 more sources
Variational method for locating invariant tori [PDF]
We formulate a variational fictitious-time flow which drives an initial guess torus to a torus invariant under given dynamics. The method is general and applies in principle to continuous time flows and discrete time maps in arbitrary dimension, and to ...
Chandre, Cristel +2 more
core +3 more sources
Sensitivity to perturbations in a quantum chaotic billiard
The Loschmidt echo (LE) measures the ability of a system to return to the initial state after a forward quantum evolution followed by a backward perturbed one.
A. Peres +22 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
Analytic Approach for Controlling Realistic Quantum Chaotic Systems
An analytic approach for controlling quantum states, which was originally applied to fully random matrix systems [T. Takami and H. Fujisaki, Phys. Rev.
George Maroulis +3 more
core +1 more source

