Designing the Dynamics of Globally Coupled Oscillators(General and Mathematical Physics)

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概要

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• A method for designing cluster states with prescribed stability is presented for coupled phase oscillator systems with all-to-all coupling. We determine criteria for the coupling function that ensure the existence and stability of a large variety of clustered configurations. We show that such criteria can be satisfied by choosing Fourier coefficients of the coupling function. We demonstrate that using simple trigonometric and localized coupling functions one can realize arbitrary patterns of stable clusters and that the designed systems are capable of performing finite state computation. The design principles may be relevant when engineering complex dynamical behavior of coupled systems, e.g. the emergent dynamics of artificial neural networks, coupled chemical oscillators and robotic swarms.

• 理論物理学刊行会の論文
• 2009-09-25

著者

• Moehlis Jeff

  Department Of Mechanical Engineering University Of California

• Moehlis Jeff

  Department Of Mechanical And Environmental Engineering University Of California

• OROSZ Gabor

  Department of Mechanical Engineering, University of California

• ASHWIN Peter

  School of Engineering, Computing and Mathematics, University of Exeter

• Orosz Gabor

  Department Of Mechanical Engineering University Of California:school Of Engineering Computing And Mathematics University Of Exeter

• Ashwin Peter

  School Of Engineering Computing And Mathematics University Of Exeter

• MOEHLIS Jeff

  Department of Mechanical Engineering, University of California

• OROSZ Gabor

  Department of Mechanical Engineering, University of California:School of Engineering, Computing and Mathematics, University of Exeter

関連論文

• Optimal Decisions : From Neural Spikes, through Stochastic Differential Equations, to Behavior(Nonlinear Theory and its Applications)
• Designing the Dynamics of Globally Coupled Oscillators(General and Mathematical Physics)

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