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2013, 2013(special): 719-728. doi: 10.3934/proc.2013.2013.719

## Validity and dynamics in the nonlinearly excited 6th-order phase equation

 1 University of Southern Queensland, Toowoomba, Queensland 4350, Australia, Australia

Received  September 2012 Published  November 2013

A slowly varying phase of oscillators coupled by diffusion is generally described by a partial differential equation comprising infinitely many terms. We consider a particular case when the coupling is nonlocal and, as a result, the equation can be reduced to a finite form with nonlinear excitation and 6th-order dissipation. We fulfilled two tasks: (1) evaluated the range of independent parameters rendering the form valid, and (2) developed and tested the numerical code for solving the equation; some numerical solutions are presented.
Citation: Dmitry Strunin, Mayada Mohammed. Validity and dynamics in the nonlinearly excited 6th-order phase equation. Conference Publications, 2013, 2013 (special) : 719-728. doi: 10.3934/proc.2013.2013.719
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