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第66行：
第66行： − + 第72行：
第72行： − 动态系统理论的概念起源于20世纪90牛顿运动定律。与其他自然科学和工程学科一样，动力系统的演化规律也是通过一种关系隐含地给出的，这种关系只给出了系统在未来很短时间内的状态。+ 第80行：
第80行： − 在快速计算机器出现之前，解决动力系统问题需要复杂的数学技术，而且只能在一小类动态系统中完成。+ 第88行：
第88行： − 一些优秀的数学动态系统理论的演示包括，，，和。+ − −
→History： 通读一遍并标明哪里需要继续改
即使是简单的非线性动力系统也常常表现出看似随机的行为，这种行为被称为混沌。混沌理论主要研究混沌的清晰定义和混沌的现象，它是动力系统理论的一个分支。
即使是简单的非线性动力系统也常常表现出看似随机的行为，这种行为被称为混沌。混沌理论主要研究混沌的清晰定义和混沌的现象，它是动力系统理论的一个分支。
== History ==
== History 历史==
The concept of dynamical systems theory has its origins in [[Newtonian mechanics]]. There, as in other natural sciences and engineering disciplines, the evolution rule of dynamical systems is given implicitly by a relation that gives the state of the system only a short time into the future.
The concept of dynamical systems theory has its origins in [[Newtonian mechanics]]. There, as in other natural sciences and engineering disciplines, the evolution rule of dynamical systems is given implicitly by a relation that gives the state of the system only a short time into the future.
The concept of dynamical systems theory has its origins in Newtonian mechanics. There, as in other natural sciences and engineering disciplines, the evolution rule of dynamical systems is given implicitly by a relation that gives the state of the system only a short time into the future.
The concept of dynamical systems theory has its origins in Newtonian mechanics. There, as in other natural sciences and engineering disciplines, the evolution rule of dynamical systems is given implicitly by a relation that gives the state of the system only a short time into the future.
====动态系统理论的概念起源于牛顿运动定律。与其他自然科学和工程学科一样，动力系统的演化规律也是通过一种关系隐含地给出的，这种关系只给出了系统在未来很短时间内的状态。====
Before the advent of fast computing machines, solving a dynamical system required sophisticated mathematical techniques and could only be accomplished for a small class of dynamical systems.
Before the advent of fast computing machines, solving a dynamical system required sophisticated mathematical techniques and could only be accomplished for a small class of dynamical systems.
在高速计算机器出现之前，解决动力系统问题需要复杂的数学技能，而且还只能解决一小类动力系统问题。
Some excellent presentations of mathematical dynamic system theory include , , , and .
Some excellent presentations of mathematical dynamic system theory include , , , and .
优秀的数学动力系统理论包括，，，和。
== Concepts ==
== Concepts ==