title: Restoring oscillatory behavior from amplitude death with anti-phase synchronization patterns in networks of electrochemical oscillations.
abstract: The dynamical behavior of delay-coupled networks of electrochemical reactions is investigated to explore the formation of amplitude death (AD) and the synchronization states in a parameter region around the amplitude death region. It is shown that difference coupling with odd and even numbered ring and random networks can produce the AD phenomenon. Furthermore, this AD can be restored by changing the coupling type from difference to direct coupling. The restored oscillations tend to create synchronization patterns in which neighboring elements are in nearly anti-phase configuration. The ring networks produce frozen and rotating phase waves, while the random network exhibits a complex synchronization pattern with interwoven frozen and propagating phase waves. The experimental results are interpreted with a coupled Stuart-Landau oscillator model. The experimental and theoretical results reveal that AD behavior is a robust feature of delayed coupled networks of chemical units; if an oscillatory behavior is required again, even a small amount of direct coupling could be sufficient to restore the oscillations. The restored nearly anti-phase oscillatory patterns, which, to a certain extent, reflect the symmetry of the network, represent an effective means to overcome the AD phenomenon.
authors: Department of Chemistry, Saint Louis University, 3501 Laclede Ave., St. Louis, Missouri 63103, USA.
authors: Raphael
authors: R
authors: Nagao
authors: Department of Physics, Hong Kong Baptist University, Kowloon Tong, Hong Kong, China.
authors: Wei
authors: W
authors: Zou
authors: Potsdam Institute for Climate Impact Research, Telegraphenberg, Potsdam D-14415, Germany.
authors: Jürgen
authors: J
authors: Kurths
authors: Department of Chemistry, Saint Louis University, 3501 Laclede Ave., St. Louis, Missouri 63103, USA.
authors: István Z
authors: IZ
authors: Kiss