经典线性谐振子能保持混沌（分形）动力学吗
Can Classical Linear Harmonic Oscillator Hold Chaotic (Fractal) Dynamics
摘要：
在这项工作中，一个经典的线性谐振子，在一个小的时间间隔（使简单的非线性，二阶泰勒近似的动力学是满意的）和重新启动（由一个机制）在严格选择的一系列时刻，被认为是在一个小的时间间隔。结果表明，给定的线性振子的动力学行为类似于离散逻辑方程，作为特殊情况，离散逻辑方程也包含混沌（分形）行为。(All这也涉及类似的量子系统，例如氨分子，其原子的简单振动动力学在严格定义的时刻被测量多次扰动。
英文摘要：
In this work a classical linear harmonic oscillator, evolving during a small time interval (so that simple non-linear, second order Taylor approximation of the dynamics is satisfied) and restarting (by a mechanism) in a strictly chosen series of the time moments, is considered. It is shown that given linear oscillator behaves dynamically analogously to discrete logistic equation, which, as an especial case, includes chaotic (fractal) behaviour too. (All this refers too on the analogous quantum systems, e.g. ammonia molecule with simple vibration dynamics of the atoms many times perturbed by measurements in strictly defined time moments.
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