scholarly journals SYNCHRONIZATION PHENOMENA IN VAN DER POL OSCILLATORS COUPLED BY A TIME-VARYING RESISTOR

2007 ◽  
Vol 17 (10) ◽  
pp. 3565-3569 ◽  
Author(s):  
YOKO UWATE ◽  
YOSHIFUMI NISHIO
Keyword(s):  
Switching Frequency ◽  
Time Varying ◽  
Van Der Pol ◽  
Van Der Pol Oscillators ◽  
Computer Calculations

In this study, synchronization phenomena observed in van der Pol oscillators coupled by a time-varying resistor are investigated. We realize the time-varying resistor by switching a positive and a negative resistor periodically. By carrying out circuit experiments and computer calculations, interesting synchronization phenomena can be confirmed to be generated in this system. Namely, the synchronization states change according to the switching frequency of the time-varying resistor.

COMPLEX PATTERN IN A RING OF VAN DER POL OSCILLATORS COUPLED BY TIME-VARYING RESISTORS

2010 ◽  
Vol 19 (04) ◽  
pp. 819-834 ◽  
Author(s):  
YOKO UWATE ◽  
YOSHIFUMI NISHIO ◽  
RUEDI STOOP
Keyword(s):  
Duty Cycle ◽  
Natural Science ◽  
Phase Synchronization ◽  
Complex Pattern ◽  
Nonlinear Phenomena ◽  
Time Varying ◽  
Van Der Pol ◽  
Oscillatory Systems ◽  
Higher Dimensional ◽  
Van Der Pol Oscillators

Synchronization phenomena in coupled oscillatory systems are very important models to describe various higher-dimensional nonlinear phenomena in the field of natural science. In this paper, phase synchronization in a ring of van der Pol oscillators coupled by time-varying resistors is studied. The coexistence of in-phase and anti/N-phase states and various interesting phase synchronization patterns are observed when the parameters are changed. Further, the influence of duty cycle of time-varying resistors for the observed phase synchronization patterns is investigated.

Asymptotic Wave Solutions for the Model of a Medium with Van Der Pol Oscillators

2014 ◽  
Vol 59 (9) ◽  
pp. 932-938
Author(s):  
V.A. Danylenko ◽  
◽  
S.I. Skurativskyi ◽  
I.A. Skurativska ◽  
◽  
...  
Keyword(s):  
Van Der Pol ◽  
Wave Solutions ◽  
Van Der Pol Oscillators

scholarly journals Modal synchronization of coupled bistable van der Pol oscillators

2021 ◽  
Vol 143 ◽  
pp. 110555
Author(s):  
I.B. Shiroky ◽  
O.V. Gendelman
Keyword(s):  
Van Der Pol ◽  
Van Der Pol Oscillators

scholarly journals Uncovering Droop Control Laws Embedded Within the Nonlinear Dynamics of Van der Pol Oscillators

2017 ◽  
Vol 4 (2) ◽  
pp. 347-358 ◽  
Author(s):  
Mohit Sinha ◽  
Florian Dorfler ◽  
Brian B. Johnson ◽  
Sairaj V. Dhople
Keyword(s):  
Nonlinear Dynamics ◽  
Droop Control ◽  
Van Der Pol ◽  
Control Laws ◽  
Van Der Pol Oscillators

scholarly journals Dynamics of hierarchical weighted networks of van der Pol oscillators

2020 ◽  
Vol 30 (12) ◽  
pp. 123146
Author(s):  
Daniel Monsivais-Velazquez ◽  
Kunal Bhattacharya ◽  
Rafael A. Barrio ◽  
Philip K. Maini ◽  
Kimmo K. Kaski
Keyword(s):  
Van Der Pol ◽  
Weighted Networks ◽  
Van Der Pol Oscillators

On the non-integrability of a family of Duffing-van der Pol oscillators

1993 ◽  
Vol 26 (23) ◽  
pp. 6927-6942 ◽  
Author(s):  
T C Bountis ◽  
L B Drossos ◽  
M Lakshmanan ◽  
S Parthasarathy
Keyword(s):  
Van Der Pol ◽  
Van Der Pol Oscillators
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