Synchronization of two coupled massive oscillators in the time-delayed Kuramoto model
Esmaeil Mahdavi1, Mina Zarei1, Farhad Shahbazi2
1Department of Physics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 45137-66731, Iran.
Abstract:
We examine the impact of the time delay on two coupled massive oscillators within the second-order Kuramoto model, which is relevant to the operations of real-world networks that rely on signal transmission speed constraints. Our analytical and numerical exploration shows that time delay can cause multi-stability within phase-locked solutions, and the stability of these solutions decreases as the inertia increases. In addition to phase-locked solutions, we discovered non-phase-locked solutions that exhibit periodic and chaotic behaviors, depending on the amount of inertia and time delay.
Related Concept Videos
Damped Oscillations
Although friction and other non-conservative...
Oscillations In An LC Circuit
RLC Circuit as a Damped Oscillator
Consider a series RLC circuit. Here, the presence of resistance in the circuit leads to energy loss due to joule heating in the resistance. Therefore, the total electromagnetic energy in the circuit is no longer constant and decreases with time. Since the magnitude of charge, current, and potential difference continuously decreases, their oscillations are said to be damped. This is...
Oscillations about an Equilibrium Position
Forced Oscillations
Design Example: Underdamped Parallel RLC Circuit
Starting with a fixed...


