星系型势中复杂不稳定周期轨道附近的混沌性
Chaoticity in the vicinity of complex unstable periodic orbits in galactic type potentials
摘要：
本文研究了两个星系型势中接近于复杂不稳定周期轨道的相空间的演化。它们代表了盘状星系的特征形态类型，即棒旋星系和正常（非棒旋星系）螺旋星系。这些潜在的已知提供积木支持观察到的特征，如花生，或X形凸起，在前者的情况下，在后者的螺旋臂。我们调查的可能性，这些结构得到加强，除了定期轨道，也在复杂的不稳定的周期轨道附近的轨道。我们研究的情况下，一个家庭的稳定性提出了一个连续的过渡，从稳定到复杂的不稳定，然后再次稳定，随着能量的增加，在紧邻的周期轨道的相空间结构的演变。我们发现，我们有一个逐渐重塑不变的结构接近过渡点，我们跟踪这两个模型的演变。我们的结论是，对于星系的动力学显着的时间尺度，有弱混沌轨道与复杂的不稳定的周期轨道，这应该被认为是结构支持，因为它们加强了我们研究的形态特征。
英文摘要：
We investigate the evolution of phase space close to complex unstable periodic orbits in two galactic type potentials. They represent characteristic morphological types of disc galaxies, namely barred and normal (non-barred) spiral galaxies. These potentials are known for providing building blocks to support observed features such as the peanut, or X-shaped bulge, in the former case and the spiral arms in the latter. We investigate the possibility that these structures are reinforced, apart by regular orbits, also by orbits in the vicinity of complex unstable periodic orbits. We examine the evolution of the phase space structure in the immediate neighbourhood of the periodic orbits in cases where the stability of a family presents a successive transition from stability to complex instability and then to stability again, as energy increases. We find that we have a gradual reshaping of invariant structures close to the transition points and we trace this evolution in both models. We conclude that for time scales significant for the dynamics of galaxies, there are weakly chaotic orbits associated with complex unstable periodic orbits, which should be considered as structure-supporting, since they reinforce the morphological features we study.
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