The relation between the Lyapunov modes (delocalized Lyapunov vectors) and the momentum autocorrelation function is discussed in two-dimensional hard-disk systems. We show numerical evidence that the smallest time-oscillating period of the Lyapunov modes is twice as long as the time-oscillating period of momentum autocorrelation function for both square and rectangular two-dimensional systems w...

This study introduces two types of self-oscillating circuits that are frequently found in power electronics applications. Special effort is made to relate the circuits to the analogous mechanical systems of some important scientific inventions: Galileo’s pendulum clock and Coulomb’s friction model. A little touch of related history and philosophy of science will hopefully encourage curiosity, a...

A new sub-optimal subset search method for feature selection is introduced. As opposed to other till now known subset selection methods the oscillating search is not dependent on pre-specified direction of search (forward or backward). The generality of oscillating search concept allowed us to define several different algorithms suitable for different purposes. We can specify the need to obtain...

Classical and quantum decay of one dimensional finite wells with oscillating walls. Abstract To study the time decay laws (tdl) of quasibounded hamiltonian systems we have considered two finite potential wells with oscillating walls filled by non interacting particles. We show that the tdl can be qualitatively different for different movement of the oscillating wall at classical level according...

We investigate the asymptotic distributions of periodically driven anharmonic Langevin systems. Utilizing underlying ${\text{SL}}_{2}$ symmetry dynamics, we develop a perturbative scheme in which effect periodic driving can be treated nonperturbatively to any order perturbation anharmonicity. spell out conditions under exist and are show that determined exactly terms solutions associated Hill e...