학술논문

About Synchronization Problem of Group of Weakly Coupled Identical Oscillators
Document Type
Conference
Source
2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB), 2020 15th International Conference on Stability and Oscillations of. :1-4 Jun, 2020
Subject
Communication, Networking and Broadcast Technologies
Robotics and Control Systems
Eigenvalues and eigenfunctions
Oscillators
Synchronization
Couplings
Mathematical model
Numerical models
Indexes
Linear systems
synchronization
weakly coupled oscillators
Language
Abstract
The work is devoted to the study of the phenomenon of synchronization of a large number of weakly coupled oscillators in the presence of dissipative bonds. These bonds are included in the system dynamics equations in the form of diffusion matrices, providing asymptotically stable oscillation of the oscillator ensemble as a whole. Three types of interaction known as "identical all-to-all", "nearest neighbors" and "nearest neighbors in a circle" are considered as examples.