Synchronization of self-sustained oscillators inertially coupled through common damped system |
| |
Authors: | EV Pankratova VN Belykh |
| |
Institution: | Mathematics Department, Volga State Academy, 5, Nesterov str., Nizhny Novgorod, 603950, Russia |
| |
Abstract: | We study the dynamics of two self-oscillating systems inertially coupled to a linear oscillator. This interaction mechanism results in various types of synchronous motions such as in-phase, anti-phase and phase synchronization. We demonstrate the existence of mono-stable regimes and multi-stable behavior with two or more coexisting attractors. We present the bifurcational analysis revealing transition mechanisms between these regimes. In the multi-stable case, we examine the role of coupling parameter and shape of oscillations (the parameter indicating nonlinearity and strength of the damping) in various structure formations of attraction basins. |
| |
Keywords: | Synchronization Van der Pol&ndash Duffing equations Symmetries Attractors Basins of attraction |
本文献已被 ScienceDirect 等数据库收录! |
|