Phase reduction and synchronization of a network of coupled dynamical elements exhibiting collective oscillations

Hiroya Nakao, 2 Sho Yasui, Masashi Ota, 4 Kensuke Arai, and Yoji Kawamura Department of Systems and Control Engineering, Tokyo Institute of Technology, Tokyo 152-8552, Japan Department of Mechanical Engineering, University of California, Santa Barbara, CA 93106, USA Department of Mechanical and Environmental Informatics, Tokyo Institute of Technology, Tokyo 152-8552, Japan Ricoh Company Ltd., Japan Department of Statistics and Mathematics, Boston University, Boston, MA 02215, USA Department of Mathematical Science and Advanced Technology, Japan Agency for Marine-Earth Science and Technology, Yokohama 236-0001, Japan