An approximate technique to test chaotic region in a rotating pendulum system with bistable characteristics

On the Coexistence, Switching Bifurcation and FPGA Implementation for a Non-smooth Rayleigh-Duffing-like System

“…Since the Duffing system was first proposed in 1918 [8] , more and more scientists have devoted themselves to the study of the Duffing system. In the literatures reported in the past, the analysis methods of Duffing system mainly include conventional numerical analysis [9] , harmonic balance method [10][11][12] , Melnikov function method [13][14][15] and so on. Scientists have investigate different electronic component on the basis of the classic Duffing models to construct a new system, including the famous Rayleigh-Duffing systems [16][17][18][19] , van der Pol-Duffing systems [20][21][22][23] , and memristor-based Duffing systems [24] , and then analyzed the systems built by dynamic features.…”

Nonlinear dynamics of new magneto-mechanical oscillator

“…The analysis methodologies of nonlinear oscillators provide valuable theoretical and applied insight if the modelling of the main nonlinear effects have been undertaken with care. Classical and new examples such as pendula [1][2][3], Duffing [4][5][6][7], Lorenz [8][9][10], SD [11][12][13] and impact [14][15][16][17][18] oscillators, demonstrate diverse forms of nonlinear oscillations. In recent years, lots of nonlinear mechanical oscillators have been developed due to the application-driven theoretical and experimental studies.…”