A short-term prediction method developed on the basis of the deterministic chaos theory is used to predict the time series of pressure fluctuations in a gas-liquid bubble column with a single orifice.
应用混沌预测方法，对气液两相单孔鼓泡系统的压力波动时间序列进行了短期预测。
The world is nonlinear, linearity is oly its approximate description. The discovery of chaos has showed that some deterministic nonlinear systems exhibit inner random behavior.
世界是非线性的，线性只是其近似描述，混沌的发现表明：某些确定性非线性系统具有内在的随机行为。
Chaos is looked as the solution with internal stochastic property in the nonlinear deterministic systems.
混沌看作是确定性的非线性系统出现的具有内在随机性的解。
Chaos Theory is the qualitative study of unstable aperiodic behaviour in deterministic non-linear dynamical systems.
在确定性的非线性动态系统中，混沌理论是针对不稳定的非周期行为的量性研究。
Chaos is a random phenomenon in deterministic nonlinear dynamic systems.
混沌是确定系统的非线性动力系统中出现的随机现象。
Chaos is a deterministic nonlinear structure, which is not a stochastic process, but sensitive dependence on initial conditions. Studies in numerous fields have shown the existence of chaos dynamics.
混沌是一种确定性的非线性运动，它不是随机的但对初始条件敏感依赖，许多领域的研究证实了混沌的存在。
It is motivated by the need of practical application, and need to give up the existing concept of "chaos must come from the deterministic nonlinear dynamical systems".
需要根据实际问题研究的需要，放弃“混沌一定来自确定性非线性系统”的现有概念。
But chaos is a deterministic system determined by the nonlinear dynamical mechanism. There is a deterministic rule in the interior of the chaotic system which is seemed as a random move.
但是混沌系统是由非线性动力机制决定的确定性系统，貌似随机运动的混沌系统内部存在确定性规律，所以混沌时间序列是短期可预测的。
As a phenomenon found in non-linear dynamic system, chaos is deterministic and random-like.
混沌现象是非线性动力系统中一种确定的、类似随机的过程。
It is concluded that some deterministic systems show chaotic behaviors under some conditions theoretically. several viewpoints about. chaos in ecological systems is also discussed.
结论是，从理论上讲，一些确定性系统在一定条件下可以表现出浑沌行为，同时讨论了对生态系统中浑沌现象研究的几种不同观点。
Then the comparison and discussion about the complexity of chaos and random systems and deterministic systems are conducted. Finally several important conclusions are given.
在此基础上对随机系统、确定系统、混沌系统的复杂度进行了比较和讨论，并得出几点重要结论。
Then the comparison and discussion about the complexity of chaos and random systems and deterministic systems are conducted. Finally several important conclusions are given.
在此基础上对随机系统、确定系统、混沌系统的复杂度进行了比较和讨论，并得出几点重要结论。
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