title: Synchronizing noisy nonidentical oscillators by transient uncoupling.
abstract: Synchronization is the process of achieving identical dynamics among coupled identical units. If the units are different from each other, their dynamics cannot become identical; yet, after transients, there may emerge a functional relationship between them-a phenomenon termed "generalized synchronization." Here, we show that the concept of transient uncoupling, recently introduced for synchronizing identical units, also supports generalized synchronization among nonidentical chaotic units. Generalized synchronization can be achieved by transient uncoupling even when it is impossible by regular coupling. We furthermore demonstrate that transient uncoupling stabilizes synchronization in the presence of common noise. Transient uncoupling works best if the units stay uncoupled whenever the driven orbit visits regions that are locally diverging in its phase space. Thus, to select a favorable uncoupling region, we propose an intuitive method that measures the local divergence at the phase points of the driven unit's trajectory by linearizing the flow and subsequently suppresses the divergence by uncoupling.
authors: Department of Physics, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh 208016, India.
authors: Aditya
authors: A
authors: Tandon
authors: Network Dynamics, Max Planck Institute for Dynamics and Self-Organization (MPIDS), 37077 Göttingen, Germany.
authors: Malte
authors: M
authors: Schröder
authors: Department of Physics, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh 208016, India.
authors: Manu
authors: M
authors: Mannattil
authors: Network Dynamics, Max Planck Institute for Dynamics and Self-Organization (MPIDS), 37077 Göttingen, Germany.
authors: Marc
authors: M
authors: Timme
authors: Department of Physics, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh 208016, India.
authors: Sagar
authors: S
authors: Chakraborty