Nonlinear Electrostatic “Hesitant” Oscillator

• 作者: Haiduke Sarafian
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: Nonlinear Oscillator 3D Elliptic Curvature-Dependent Charge Distribution Computer Algebra System Mathematica
• 年，卷（期）: 2021,（1）
• 页码范围: 42-52
• 页数: 11页
• 分类号: O17

摘要

In search of nonlinear oscillations, we envision a 3D elliptic curva-ture-dependent nonuniform charge distribution to creating an electric field along the symmetry axis causing a massive point-like charged particle placed on the symmetry axis to oscillate in a delayed/hesitant nonlinear mode. The charge distribution is a 3D twisted line creating nontrivial electric field causing an unexpected oscillation that is non-orthodox defying the common sense. Calculation of this research flavored investigation is entirely based on utilities accompanied with Computer Algebra Systems (CAS) especially <em>Mathematic</em> [1]. The characteristics of the delayed oscillations in addition to embodying classic graphics displaying the time-dependent kinematic quantities are augmented including various phase diagrams signifying the nonlinear oscillations. The output of our investigation is compared to nonlinear non-delayed oscillations revealing fresh insight. For comprehensive understanding of the hesitant oscillator a simulation program is crafted clarifying visually the scenario on hand.