Synchronizing Moore and Spiegel.
This paper presents a study of bifurcations and synchronization {in the sense of Pecora and Carroll [Phys. Rev. Lett. 64, 821-824 (1990)]} in the Moore-Spiegel oscillator equations. Complicated patterns of period-doubling, saddle-node, and homoclinic bifurcations are found and analyzed. Synchronization is demonstrated by numerical experiment, periodic orbit expansion, and by using coordinate transformations. Synchronization via the resetting of a coordinate after a fixed interval is also successful in some cases. The Moore-Spiegel system is one of a general class of dynamical systems and synchronization is considered in this more general context. (c) 1997 American Institute of Physics.
Balmforth
N. J.
NJ
Department of Theoretical Mechanics, University of Nottingham, Nottingham, NG7 2RD, United Kingdom.
Craster
R. V.
RV