论文标题
外部磁场中带电的托马斯振荡器的动力学
Dynamics of a Charged Thomas Oscillator in an External Magnetic Field
论文作者
论文摘要
在这封信中，我们对外部磁场中带电的托马斯振荡器的动力学进行了详细的数值检查。我们通过采用然后修改周期性对称的托马斯振荡器来研究外部磁场中带电粒子的动力学。这些弱和强场强度参数的动力行为属于两类。保守和耗散。该系统显示了一个复杂的准周期吸引子，其拓扑取决于保守性方案中高田间强度的初始条件。从绝热运动到混乱的过渡，降低了场强参数。在耗散状态下，该系统对于弱场强和弱阻尼而言是混乱的，但显示出高场强的限制周期。这种行为是由于额外的负反馈循环引起的，该反馈循环在高场强的强度下发挥作用，并迫使系统动力学在周期性振荡中保持稳定。对于弱阻尼和弱场强度，系统动力学通过混乱的步行模仿布朗运动。
In this letter, we provide a detailed numerical examination of the dynamics of a charged Thomas oscillator in an external magnetic field. We do so by adopting and then modifying the cyclically symmetric Thomas oscillator to study the dynamics of a charged particle in an external magnetic field. These dynamical behaviours for weak and strong field strength parameters fall under two categories; conservative and dissipative. The system shows a complex quasi-periodic attractor whose topology depends on initial conditions for high field strengths in the conservative regime. There is a transition from adiabatic motion to chaos on decreasing the field strength parameter. In the dissipative regime, the system is chaotic for weak field strength and weak damping but shows a limit cycle for high field strengths. Such behaviour is due to an additional negative feedback loop that comes into action at high field strengths and forces the system dynamics to be stable in periodic oscillations. For weak damping and weak field strength, the system dynamics mimic Brownian motion via chaotic walks.
