Accession Number : ADA194888

Title :   Nonlinear Dynamics of Coupled Oscillator Arrays.

Descriptive Note : Memorandum rept.,

Corporate Author : NAVAL RESEARCH LAB WASHINGTON DC

Personal Author(s) : Mosher, David

PDF Url : ADA194888

Report Date : 18 Mar 1988

Pagination or Media Count : 17

Abstract : The phase-locked dynamics of large oscillator arrays is currently of interest because of possible microwave directed energy applications. Straight-forward integration of the coupled dynamical equations for such arrays is computationally costly for the associated multidimensional parameter space, long integration times, various initial conditions and system configurations. Finite difference analogues of the nonlinear differential equations can reproduce their complex dynamical behavior with a 2 to 3 order-of-magnitude improvement in computational time. Here, the applicability of the finite difference technique is demonstrated by solutions of the dynamical equations for 2 coupled oscillators and rings of larger numbers. Parameter studies for these configurations suggest the values of the coupler length and coupling strength required to provide robust phase-locked operation. The finite difference technique can be extended to model large oscillator arrays with other coupling geometries, amplifier arrays, and additional physical phenomena.

Descriptors :   *AMPLIFIERS, *ARRAYS, *COUPLERS, *COUPLING(INTERACTION), *OSCILLATORS, *PHASE LOCKED SYSTEMS, COMPUTATIONS, DIRECTIONAL, DYNAMICS, ENERGY, EQUATIONS, FINITE DIFFERENCE THEORY, INTEGRATION, LENGTH, MICROWAVES, MODELS, NONLINEAR DIFFERENTIAL EQUATIONS, NONLINEAR SYSTEMS, OPERATION, PARAMETERS, PHYSICAL PROPERTIES, RINGS, STRENGTH(GENERAL), TIME

Subject Categories : Electrical and Electronic Equipment

Distribution Statement : APPROVED FOR PUBLIC RELEASE