Bulletin of the American Physical Society
Joint Fall 2009 Meeting of the Ohio Sections of the APS and AAPT
Volume 54, Number 9
Friday–Saturday, October 9–10, 2009; Delaware, Ohio
Session A1: Plenary Session I |
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Chair: Brad Trees, Ohio Wesleyan University Room: Hamilton-Williams Campus Center Benes Room B |
Friday, October 9, 2009 1:45PM - 2:35PM |
A1.00001: Synchronization: From Metronomes to Fiber Lasers Invited Speaker: Some 344 years ago (give or take) Chritiaan Huygens observed two pendulum clocks spontaneously synchronize; the pendulums always locked in anti-phase. He traced the interaction to the minute motion of the wooden beam which supported the two clocks. In contrast, a simple classroom demonstration using metronomes in place of pendulum clocks -- with the same support-coupling mechanism -- yields stable in-phase synchronization. I'll explore (and explain) the reasons behind this difference. I'll also describe a surprising connection with synchronized fiber lasers, a longstanding but recently achieved goal in laser physics. [Preview Abstract] |
Friday, October 9, 2009 2:35PM - 2:50PM |
A1.00002: BREAK
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Friday, October 9, 2009 2:50PM - 3:40PM |
A1.00003: Partially Integrable Dynamics of Populations of Nonidentical Oscillators with Global Nonlinear Coupling Invited Speaker: We consider ensembles of sine-coupled phase oscillators consisting of subpopulations of identical units, with a general heterogeneous coupling between subpopulations. Using the Watanabe-Strogatz ansatz we reduce the dynamics of the ensemble to a relatively small number of dynamical variables plus microscopic constants of motion. This reduction is independent of the sizes of subpopulations and remains valid in the thermodynamic limits, where these sizes or/and the number of subpopulations are infinite. We demonstrate that the approach to the dynamics of such systems, recently proposed by Ott and Antonsen, corresponds to a particular choice of microscopic constants of motion. The theory is applied to the standard Kuramoto model and to the description of two interacting subpopulations, exhibiting a chimera state. Furthermore, we analyze the dynamics of the extension of the Kuramoto model for the case of nonlinear coupling and demonstrate the multistability of synchronous states. [Preview Abstract] |
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