Dynamics and synchronization of coupled self-sustained electromechanical devices

Theoretical Study of Synchronous Behavior in a Dual‐Pendulum‐Rotor System

“…The so-called synchronization phenomenon refers to self-adjusting different frequencies of oscillating objects to a unified frequency relying on their internal weak couplings [1,2]. In recent years, the study of synchronization phenomenon is involved in the fields of physics, chemistry, and biology, such as the practical application on complex dynamic network systems [3][4][5], nonlinear coupled chaotic systems [6,7], coupled pendulum system [8][9][10][11][12], and rotor system [1,[13][14][15][16][17][18][19]. Nevertheless, the latter two systems can be categorized as synchronous problem of mechanics system in detail.…”

On the Response of the Small Buildings to Vibrations

“…This kind of devices with nonlinear resistor and capacitor were studied by Yamapi et al [15], Yamapi and Woafo [16], [17] and Mbouna Ngueuteu, Yamapi and Woafo [18].…”

Regular and chaotic behaviors of plasma oscillations modeled by a modified Duffing equation

“…Equation (1) Hsuan [3] from thermodynamics arguments had shown that the source term can be expressed such as the last three terms in the above nonlinear differential equation. The cubic nonlinearity (so-called Duffing nonlinearity) has been studied in several occasions [4][5][6][7][8][9] and it will be worth to look at the contribution of the quadratic term in these oscillations of the plasma which is indeed essentially a nonlinear medium. Interests according to plasma oscillations are due to their potential applications.…”