title: Synchronizing Moore and Spiegel.
abstract: 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.
authors.affiliation: Department of Theoretical Mechanics, University of Nottingham, Nottingham, NG7 2RD, United Kingdom.
authors.forename: N. J.
authors.initials: NJ
authors.lastname: Balmforth
authors.forename: R. V.
authors.initials: RV
authors.lastname: Craster