Transient Uncoupling Induces Synchronization.
Finding conditions that support synchronization is a fertile and active area of research with applications across multiple disciplines. Here we present and analyze a scheme for synchronizing chaotic dynamical systems by transiently uncoupling them. Specifically, systems coupled only in a fraction of their state space may synchronize even if fully coupled they do not. While for many standard systems coupling strengths need to be bounded to ensure synchrony, transient uncoupling removes this bound and thus enables synchronization in an infinite range of effective coupling strengths. The presented coupling scheme therefore opens up the possibility to induce synchrony in (biological or technical) systems whose parameters are fixed and cannot be modified continuously.
Network Dynamics, Max Planck Institute for Dynamics and Self-Organization (MPIDS), 37077 Göttingen, Germany.
Malte
M
Schröder
Department of Physics, Indian Institute of Technology Kanpur, Uttar Pradesh 208016, India.
Manu
M
Mannattil
S.N. Bose National Centre for Basic Sciences, Saltlake, Kolkata 700098, India.
Debabrata
D
Dutta
Department of Physics, Indian Institute of Technology Kanpur, Uttar Pradesh 208016, India.|Mechanics and Applied Mathematics Group, Indian Institute of Technology Kanpur, Uttar Pradesh 208016, India.
Sagar
S
Chakraborty
Network Dynamics, Max Planck Institute for Dynamics and Self-Organization (MPIDS), 37077 Göttingen, Germany.
Marc
M
Timme