scholarly journals Microfluidic compartmentalization of diffusively coupled oscillators in multisomes induces a novel synchronization scenario

2020 ◽  
Vol 56 (79) ◽  
pp. 11771-11774
Author(s):  
Marcello A. Budroni ◽  
Kristian Torbensen ◽  
Ottorino L. Pantani ◽  
Sandra Ristori ◽  
Federico Rossi ◽  
...  
Keyword(s):  
Coupled Oscillators ◽  
Global Synchronization ◽  
Belousov Zhabotinsky Reaction

Multisome compartments encapsulating the Belousov–Zhabotinsky reaction produced by microfluidics arranged in 1D arrays showed a novel type of global synchronization.

scholarly journals Global synchronization of pulse-coupled oscillators interacting on cycle graphs

Automatica ◽  
2015 ◽  
Vol 52 ◽  
pp. 202-209 ◽  
Author(s):  
Felipe Núñez ◽  
Yongqiang Wang ◽  
Francis Joseph Doyle
Keyword(s):  
Coupled Oscillators ◽  
Global Synchronization ◽  
Pulse Coupled Oscillators

scholarly journals CLUSTER SYNCHRONIZATION IN THREE-DIMENSIONAL LATTICES OF DIFFUSIVELY COUPLED OSCILLATORS

2003 ◽  
Vol 13 (04) ◽  
pp. 755-779 ◽  
Author(s):  
VLADIMIR N. BELYKH ◽  
IGOR V. BELYKH ◽  
MARTIN HASLER ◽  
KONSTANTIN V. NEVIDIN
Keyword(s):  
Coupled Oscillators ◽  
Invariant Manifolds ◽  
Three Dimensional ◽  
Sufficient Conditions ◽  
Cluster Synchronization ◽  
Global Synchronization ◽  
Lur’E Systems ◽  
Coupling Strengths ◽  
Linear Invariant ◽  
The Stability

Cluster synchronization modes of continuous time oscillators that are diffusively coupled in a three-dimensional (3-D) lattice are studied in the paper via the corresponding linear invariant manifolds. Depending in an essential way on the number of oscillators composing the lattice in three volume directions, the set of possible regimes of spatiotemporal synchronization is examined. Sufficient conditions of the stability of cluster synchronization are obtained analytically for a wide class of coupled dynamical systems with complicated individual behavior. Dependence of the necessary coupling strengths for the onset of global synchronization on the number of oscillators in each lattice direction is discussed and an approximative formula is proposed. The appearance and order of stabilization of the cluster synchronization modes with increasing coupling between the oscillators are revealed for 2-D and 3-D lattices of coupled Lur'e systems and of coupled Rössler oscillators.

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