混沌是确定性非线性动力系统内在随机性的表现。
Chaos is internal random behavior expression of certainty nonlinear dynamical system.
这些特性包括：不确定性、内在随机性以及初值敏感性。
These characters include: uncertainty, internal stochastic and sensitive to initial conditions.
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 is looked as the solution with internal stochastic property in the nonlinear deterministic systems.
利用混沌理论论证了牛顿力学在非线性系统中存在内在随机性。
The paper proves the randomicity of Newtonian mechanics in nonlinear system by applying the theory of chaos.
混沌是非线性确定性系统中由于内在随机性而产生的外在复杂表现，是一种貌似随机的非随机运动。
Chaos is an outer complex behavior of nonlinear definite system, produced by the system's internal stochastic property, a non-stochastic movement while looks like stochastic.
通过分析，认识到土体附加应力系统是集外在随机性、确定性、内在随机性于一身的复杂、非线性系统。
We waked up to that additional stress system of mass is a complex and nonlinear system with credibility, randomicity and internal randomicity.
混沌系统对初值的敏感性会使系统产生不可预见性和内在随机性，这一特性可以用来隐藏信号，进行混沌通信。
Behavior of the chaos system may be not the foresight, and is the intrinsic randomness for the initial value sensitivity, which can be used to hide signal in the security communication.
变尺度混沌优化（MSCOA）是一种改进的混沌优化方法（COA），利用混沌运动的内在随机性、遍历性和规律性进行全局寻优；
Mutative scale chaos optimization algorithm (MSCOA) is a modified chaos optimization algorithm (COA), which possesses the properties of randomness, ergodicity and regularity of chaos movement.
许多描述保守或耗散系统的非线性方程，在一定的参数范围内表现出内在的随机性。
Many nonlinear equations, describing either conservative or dissipative systems, show stochastic behaviour in suitable range of parameter values.
树形态具有典型的分形特征和随机性，其形成受内在基因和外在环境因素影响。
The shapes of tree have typical feature of fractal and randomness, which were influenced by their genes and circumstances.
长期以来，一直采用传统的确定性或随机性或两者结合的方法来描述水文过程，揭示水文系统的内在确定性规律和外在随机性规律。
The hydrologic processes have been described by regular methods of internal determinacy or external randomness or both of them for a long time.
长期以来，一直采用传统的确定性或随机性或两者结合的方法来描述水文过程，揭示水文系统的内在确定性规律和外在随机性规律。
The hydrologic processes have been described by regular methods of internal determinacy or external randomness or both of them for a long time.
应用推荐