Directed chaotic motion in a periodic potential
نویسندگان
چکیده
We study the motion of a classical particle in an in nite, one-dimensional, sequence of equidistant potential barriers, whose position and height oscillate periodically. If these oscillations are properly synchronized, the right–left symmetry is broken and the particle drifts. Features of the motion are studied by investigating the two-dimensional map which describes the dynamics. c © 1998 Elsevier Science B.V. All rights reserved. PACS: 05.45.+b; 05.60.+w; 87.10.+e
منابع مشابه
Analysis of chaotic vibration in a hexagonal centrifugal governor system
In this paper, the periodic, quasi periodic and chaotic responses of rotational machines with a hexagonal centrifugal governor are studied. The external disturbance is assumed as a sinusoid effect. By using the forth order Rung-Kutta numerical integration method, bifurcation diagram, largest Lyapunov exponent and Lyapunov dimension are calculated and presented to detect the critical controlling...
متن کاملFrom collective periodic running states to completely chaotic synchronised states in coupled particle dynamics.
We consider the damped and driven dynamics of two interacting particles evolving in a symmetric and spatially periodic potential. The latter is exerted to a time-periodic modulation of its inclination. Our interest is twofold: First, we deal with the issue of chaotic motion in the higher-dimensional phase space. To this end, a homoclinic Melnikov analysis is utilised assuring the presence of tr...
متن کاملDirected transport in a spatially periodic potential under periodic non-biased forcing
Abstract Transport of a particle in a spatially periodic harmonic potential under the influence of a slowly time-dependent unbiased periodic external force is studied. The equations of motion are the same as in the problem of a slowly forced nonlinear pendulum. Using methods of the adiabatic perturbation theory we show that for a periodic external force of general kind the system demonstrates d...
متن کاملControlling chaotic transport in two-dimensional periodic potentials.
We uncover and characterize different chaotic transport scenarios in perfect two-dimensional periodic potentials by controlling the chaotic dynamics of particles subjected to periodic external forces in the absence of a ratchet effect (i.e., with no directed transport by symmetry breaking of zero-mean forces). After identifying relevant symmetries of the equations of motion, analytical estimate...
متن کاملChaotic Response and Bifurcation Analysis of a Timoshenko Beam with Backlash Support Subjected to Moving Masses
A simply supported Timoshenko beam with an intermediate backlash is considered. The beam equations of motion are obtained based on the Timoshenko beam theory by including the dynamic effect of a moving mass travelling along the vibrating path. The equations of motion are discretized by using the assumed modes technique and solved using the Runge–Kutta method. The analysis methods employed in...
متن کامل