Effect of various periodic forces on Duffing oscillator

Pramana

V Ravichandran²  S Rajasekar¹  V Chinnathambi1² 

[1] School of Physics, Bharathidasan University, Thiruchirapalli 620 024, India$$;Department of Physics, A.K.G.S. Arts College, Srivaikuntam 628 619, India$$

关键词: Duffing oscillator;    various periodic forces;    bifurcations;    chaos.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Bifurcations and chaos in the ubiquitous Duffing oscillator equation with different external periodic forces are studied numerically. The external periodic forces considered are sine wave, square wave, rectified sine wave, symmetric saw-tooth wave, asymmetric saw-tooth wave, rectangular wave with amplitude-dependent width and modulus of sine wave. Period doubling bifurcations, chaos, intermittency, periodic windows and reverse period doubling bifurcations are found to occur due to the applied forces. A comparative study of the effect of various forces is performed.

【 授权许可】

Unknown