Multifrequency synthesis using two coupled nonlinear oscillator arrays.
We illustrate a scheme that exploits the theory of symmetry-breaking bifurcations for generating a spatio-temporal pattern in which one of two interconnected arrays, each with N Van der Pol oscillators, oscillates at N times the frequency of the other. A bifurcation analysis demonstrates that this type of frequency generation cannot be realized without the mutual interaction between the two arrays. It is also demonstrated that the mechanism for generating these frequencies between the two arrays is different from that of a master-slave interaction, a synchronization effect, or that of subharmonic and ultraharmonic solutions generated by forced systems. This kind of frequency generation scheme can find applications in the developed field of nonlinear antenna and radar systems.
Palacios
Antonio
A
Nonlinear Dynamical Systems Group, Department of Mathematics and Statistics, San Diego State University, San Diego, California 92182, USA. palacios@euler.sdsu.edu
Carretero-González
Ricardo
R
Longhini
Patrick
P
Renz
Norbert
N
In
Visarath
V
Kho
Andy
A
Neff
Joseph D
JD
Meadows
Brian K
BK
Bulsara
Adi R
AR