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Parametric Study About the Dynamics of Two Types of Position-Dependent Mass Classical Oscillators
Brazilian Journal of Physics ( IF 1.6 ) Pub Date : 2024-02-23 , DOI: 10.1007/s13538-024-01427-9
L. F. Ziebell

The present work investigates the dynamics of nonlinear oscillators with position-dependent mass, in the presence of an applied periodical force. The analysis comprises numerical solutions of two different sets of equations of motion which are discussed in the literature, representing two different approaches to the description of position-dependent mass classical oscillators. The results obtained considering extended intervals of values of parameters associated with the position dependence of the mass and with the amplitude of the driving force show that both forms of the equations of motion exhibit coexistence of periodic and chaotic regions in the space of parameters, but for one of the forms the area occupied by chaotic solutions is much larger than for the other form. For both forms of the equations of motion, the presence of chaotic dynamics increases with the increase of the frequency of the periodic driving force.



中文翻译:

两类位置相关质量经典振荡器动力学参数研究

目前的工作研究了在施加周期性力的情况下具有位置相关质量的非线性振荡器的动力学。该分析包括文献中讨论的两组不同运动方程的数值解,代表了描述位置相关质量经典振荡器的两种不同方法。考虑到与质量的位置依赖性和驱动力的幅度相关的参数值的扩展区间而获得的结果表明,运动方程的两种形式都表现出参数空间中周期性区域和混沌区域的共存,但是对于其中一种形式的混沌解所占据的面积比另一种形式大得多。对于两种形式的运动方程,混沌动力学的存在随着周期性驱动力频率的增加而增加。

更新日期:2024-02-23
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