从非线性动态系统的定性理论出发，研究非线性控制和优化系统中的浑沌运动。
Chaotic behaviours in nonlinear control and parameter-optimized systems are studied in this paper from the viewpoint of qualitative theory of nonlinear dynamical systems.
从数学动力系统的角度看浑沌是已知的最复杂的定态行为，但从一般系统或者复杂生命、社会系统的角度看，浑沌是相对简单的运动方式。
From the point of view of dynamical system chaos is the most complex steady state we know, but from the point of view of general system or complex system of life and society, it is relatively simple.
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