State Key Laboratory of Mechanics and Control for Mechanical Structures, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, 29 Yudao Street, Nanjing 210016, People's Republic of China.
Phys Rev E. 2017 Jan;95(1-1):012208. doi: 10.1103/PhysRevE.95.012208. Epub 2017 Jan 17.
Noise-induced escape from the domain of attraction of a nonhyperbolic chaotic attractor in a periodically excited nonlinear oscillator is further investigated. Deviations are found to be amplified at the primary homoclinic tangency from which the optimal force begins to fluctuate dramatically. Escaping trajectories turn out to possess several modes to pass through the saddle cycle on the basin boundary, and each mode corresponds to a certain type of value of the action plot, respectively. A subset of the pattern of fluctuational paths from the chaotic attractor is obtained, showing the existence of complicated singularities.
进一步研究了在周期性激励非线性振荡器中非双曲型混沌吸引子的域吸引中噪声诱导的逃逸。发现从主同宿切线上的偏差被放大，从该点开始，最优力开始剧烈波动。逃逸轨迹结果具有通过基域边界上的鞍周期的几种模式，并且每种模式分别对应于作用量图的特定类型的值。获得了来自混沌吸引子的波动路径模式的子集，显示了复杂奇点的存在。
