Nonlinear Dynamics of a Periodically Driven Duffing Resonator Coupled to a Van der Pol OscillatorReportar como inadecuado




Nonlinear Dynamics of a Periodically Driven Duffing Resonator Coupled to a Van der Pol Oscillator - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

1 School of Mechanical Engineering 2 Nonlinearity and Complexity Research Group

Abstract : We explore the dynamics of a periodically driven Duffing resonator coupled elastically to a van der Pol oscillator in the case of 1 : 1 internal resonance in the cases of weak and strong coupling. Whilst strong coupling leads to dominating synchronization, the weak coupling case leads to a multitude of complex behaviours. A two-time scales method is used to obtain the frequency-amplitude modulation. The internal resonance leads to an antiresonance response of the Duffing resonator and a stagnant response a small shoulder in the curve of the van der Pol oscillator. The stability of the dynamic motions is also analyzed. The coupled system shows a hysteretic response pattern and symmetry-breaking facets. Chaotic behaviour of the coupled system is also observed and the dependence of the system dynamics on the parameters are also studied using bifurcation analysis.





Autor: X. Wei - M. F. Randrianandrasana - M. Ward - D. Lowe -

Fuente: https://hal.archives-ouvertes.fr/



DESCARGAR PDF




Documentos relacionados