Oscillatory variation of anomalous diffusion in pendulum systems

Pramana

S Rajasekar1¹  G Sakthivel¹ 

[1] School of Physics, Bharathidasan University, Tiruchirapalli 620 024, India$$

关键词: Anomalous diffusion;    pendulum system;    chaotic motion;    kurtosis.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Numerical studies of anomalous diffusion in undamped but periodically-driven and parametrically-driven pendulum systems are presented. When the frequency of the periodic driving force is varied, the exponent 𝜇, which is the rate of divergence of the mean square displacement with time, is found to vary in an oscillatory manner. We show the presence of such a variation in other statistical measures such as variance of position, kurtosis, and exponents in the power-exponential law of probability distribution of position.

【 授权许可】

Unknown