On the Dynamics of Coupled Parametrically Forced Oscillators | Zendy

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On the Dynamics of Coupled Parametrically Forced Oscillators

Author(s) -

Jeff Moehlis

Publication year - 2008

Publication title -

asme 2008 dynamic systems and control conference, parts a and b

Language(s) - English

Resource type - Conference proceedings

DOI - 10.1115/dscc2008-2189

Subject(s) - orbit (dynamics) , hopf bifurcation , forcing (mathematics) , periodic orbits , bifurcation , coupling (piping) , heteroclinic orbit , limit (mathematics) , physics , phase (matter) , dynamical systems theory , limit cycle , control theory (sociology) , classical mechanics , statistical physics , mathematics , mathematical analysis , computer science , nonlinear system , quantum mechanics , engineering , aerospace engineering , mechanical engineering , control (management) , artificial intelligence , homoclinic orbit

It is well known that an autonomous dynamical system can have a stable periodic orbit, arising for example through a Hopf bifurcation. When a collection of such oscillators is coupled together, the system can display a number of phase-locked solutions which can be understood in the weak coupling limit by using a phase model. It is also well known that a stable periodic orbit can be found for a parametrically forced dynamical system, with the phase of the periodic orbit being locked to the forcing. Here we discuss the periodic solutions which occur for a collection of such parametrically forced oscillators that are weakly coupled together.Copyright © 2008 by ASME

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