论文标题
扩展测试机构的哈密顿动力学中的同型混乱
Homoclinic chaos in the Hamiltonian dynamics of extended test bodies
论文作者
论文摘要
在系统中通过外部扰动破坏了整合性的系统中，研究混乱的轨迹有很长的传统。在这里，我们在扩展物体的动力学中探索了与混乱的不同途径，这是由于有限尺寸的校正对测试粒子的原本可集成运动而产生的。我们发现，身体整体形状的循环变化可能导致混乱的发作。这适用于行李和Yukawa的潜力。为了开普勒的潜力，与球形对称性的周期性偏差会导致未受干扰的抛物线轨道周围的混乱区域。
There is a long tradition of studying chaotic trajectories in systems whose integrability is broken by means of an external perturbation. Here we explore a different route to chaos, in the dynamics of extended bodies, which arises due to finite-size corrections to the otherwise integrable motion of a test particle. We find that cyclic changes in the overall shape of the body may lead to the onset of chaos. This is applied to the Duffing and Yukawa potentials. For Kepler's potential, periodic deviations from spherical symmetry give rise to chaotic regions around the unperturbed parabolic orbit.
