Related Experiment Video
Updated: May 31, 2026

Alignment of Synchronized Time-Series Data Using the Characterizing Loss of Cell Cycle Synchrony Model for Cross-Experiment Comparisons
Published on: June 9, 2023
Peculiarities of the transitions to synchronization in coupled systems with amplitude death
V Astakhov1, S Koblyanskii, A Shabunin
1Radiotechnical Department, Saratov State Technical University, Polytechnicheskaya 77, Saratov 410054, Russia.
Abstract:
The paper presents the results of the study of the sequences of bifurcation leading to the synchronization and amplitude death in a system of two dissipatively coupled self-sustained oscillators with inertial nonlinearity. Two types of synchronizations tongues have been identified. In one of them phase locking regions exist where the synchronization is achieved by the saddle-node bifurcation and regions where the transition to synchronization leads through Neimark-Sacker bifurcation. In the second type of the tongues there are only phase locking regions. It has been shown that for a weak non-identity of the system parameters, the first type tongues merge together. The transition between the synchronization tongues can occur without bifurcations, i.e., transition between the synchronized regimes with different periods of oscillations can occur gradually.
Related Concept Videos
Types of Damping
Damped Oscillations
Although friction and other non-conservative...
Concept of Resonance and its Characteristics
Forced Oscillations
Transmission-Line Differential Equations
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured from the...
Oscillations about an Equilibrium Position

