Finite-size-induced transition in ensemble of globally coupled oscillators

1994 ◽  
Vol 95 (4) ◽  
pp. 541-544 ◽  
Author(s):  
Arkady S. Pikovsky ◽  
Katja Rateitschak ◽  
J�rgen Kurths
Keyword(s):  
Coupled Oscillators ◽  
Finite Size

scholarly journals Extended finite-size scaling of synchronized coupled oscillators

2013 ◽  
Vol 88 (3) ◽  
Author(s):  
Chulho Choi ◽  
Meesoon Ha ◽  
Byungnam Kahng
Keyword(s):  
Coupled Oscillators ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Size Scaling

scholarly journals The conditions of full synchronization in generalized Kuramoto models [in Polish: Warunki pełnej synchronizacji w uogólnionych modelach Kuramoto]

2020 ◽  
Author(s):  
Jeremi Ochab
Keyword(s):  
Coupled Oscillators ◽  
Discrete System ◽  
Natural Frequencies ◽  
Phase Locking ◽  
Finite Size ◽  
Kuramoto Model ◽  
Winding Number ◽  
Critical Coupling ◽  
General Phase ◽  
Full Synchronization

A modified Kuramoto model of synchronization in a finite discrete system of locally coupled oscillators is studied. The model consists of N oscillators with random natural frequencies arranged on a ring. It is shown analytically and numerically that finite-size systems may have many different synchronized stable solutions which are characterised by different values of the winding number. The lower bound for the critical coupling $k_c$ is given, as well as an algorithm for its exact calculation. It is shown that in general phase-locking does not lead to phase coherence in 1D.

scholarly journals Microscopic correlations in the finite-size Kuramoto model of coupled oscillators

2019 ◽  
Vol 100 (3) ◽  
Author(s):  
Franziska Peter ◽  
Chen Chris Gong ◽  
Arkady Pikovsky
Keyword(s):  
Coupled Oscillators ◽  
Finite Size ◽  
Kuramoto Model

scholarly journals Nonstandard scaling law of fluctuations in finite-size systems of globally coupled oscillators

2013 ◽  
Vol 88 (2) ◽  
Author(s):  
Isao Nishikawa ◽  
Gouhei Tanaka ◽  
Kazuyuki Aihara
Keyword(s):  
Coupled Oscillators ◽  
Scaling Law ◽  
Finite Size

The partial realization theory of finite size two-dimensional arrays

1981 ◽  
Vol 64 (10) ◽  
pp. 1-8
Author(s):  
Tsuyoshi Matsuo ◽  
Yasumichi Hasegawa ◽  
Yoshikuni Okada
Keyword(s):  
Finite Size ◽  
Two Dimensional ◽  
Realization Theory
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