Inertia ratchets are characterized by a complex dynamics with multiple current reversals. We recently studied the problem of control of current on inertia ratchets and demonstrated the feasibility of a control method associated with a process of locking to different mean velocity attractors....

The interest in studying the isochrone portrait of relaxation oscillators with a stable limit cycle is that knowledge of this portrait implies knowledge of the Phase Transition Curve (PTC) and the PTC allows one to obtain, in the case of impulsive forces, a one-dimensional approximation of the...

The forced and overdamped motion of non-interacting particles in a periodic asymmetric potential is studied. The analysis is focused on synchronization of the motion of the particles with the external sinusoidal driving force. Two cases are considered: a perfect lattice without disorder and a...

We have studied the deterministic dynamics of underdamped single and multiparticle ratchets associated with current reversal, as a function of the amplitude of the external driving force. Two experimentally inspired methods are used. In the first method, the same initial condition is used for...

A Statistical Complexity measure has been recently proposed to quantify the performance of chaotic Pseudorandom number generators (PRNG) (Physica A 354 (2005) 281). Here we revisit this quantifier and introduce two important improvements: (i) consideration of an intensive statistical complexity...

Pseudorandom number generators (PRNG) are extensively used in Monte Carlo simulations, gambling machines and cryptography as substitutes of ideal random number generators (RNG). Each application imposes different statistical requirements to PRNGs. As L’Ecuyer clearly states “the main goal...

Pseudo Random Number Generators (PRNG) have attracted intense attention due to their obvious importance for many branches of science and technology. A randomizing technique is a procedure designed to improve the PRNG randomness degree according the specific requirements. It is obviously...