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        Subharmonic Shapiro Steps in the Frenkel-Kontorova Model

        Bambi Hu,Jasmina Tekic 한국물리학회 2007 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.50 No.1I

        The dynamical mode-locking phenomena in the overdamped one-dimensional Frenkel-Kontorova model subjected to a parametrized deformable periodic substrate potential and driven by an ac force are examined. When the shape of the substrate potential starts to deviate from the standard one, new subharmonic steps are found to appear in the response function, even in the structures with an integer value of the average interparticle distance, while the critical depinning force can even decrease for some values of the system parameters.B9%B0%B

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        Asymmetric Heat Conduction in the Frenkel-Kontorova Model

        Bambi Hu,Lei Yang,Dahai He,Yong Zhang 한국물리학회 2007 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.50 No.1I

        In this paper, we show numerically that there exist two opposite rectifying effects of heat flux in the one-dimensional two-segment Frenkel-Kontorova chain with certain appropriate parameters. The orientation of the rectifying effects depends on the interfacial coupling strength and the size of the chain under investigation.d_cooke

      • Bifurcations and transitions to chaos in an inverted pendulum

        Sang Yoon Kim,Bambi Hu 강원대학교 기초과학연구소 1999 기초과학연구 Vol.10 No.-

        We consider a parametrically forced pendulum with a vertically oscillating suspension point. It is well known that, as the amplitude of the vertical oscillation is increased, its inverted state (corresponding to the vertically-up configuration) undergoes a cascade of "resurrections," i.e., it becomes stabilized after its instability, destabilize again, and so forth ad infinitum. We make a detailed numerical investigation of the bifurcations associated with such resurrections of the inverted pendulum by varying the amplitude and frequency of the vertical oscillation. It is found that the inverted state stabilizes via alternating "reverse" subcritical pitchfork and period-doubling bifurcations, while it destabilizes via alternating "normal" supercritical period-doubling and pitchfork bifrucations. An infinite sequence of period-doubling bifurcations, leading to chaos, follows each destabilization of the inverted state. The critical behaviors in the period-doubling cascades are also discussed.

      • Critical behavior of period doublings in coupled inverted pendulums

        Sang-Yoon Kim,Bambi Hu 강원대학교 기초과학연구소 1999 기초과학연구 Vol.10 No.-

        We study the critical behaviors of period doublings in N(N=2,3,4,...) coupled inverted pendulums by varying the driving amplitude A and the coupling strength c. It is found that the critical behaviors depend on the range of coupling interaction. In the extreme long-range case of global coupling critical point and an infinity of critical line segments constitute the same critical set in the A-c plane, independently of N. However, for any other nonglobal-coupling cases of shorter-range couplings, the structure of the critical set becomes different from that for the global-coupling case, because of a significant change in the stability diagram of periodic orbits born via period doublings. The critical scaling behaviors on the critical set are also found to be the same as those for the abstract system of the coupled one-dimensional maps.

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