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离散映象
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  discrete map
     We have constructed generalized chaotic synchronization systems via linear transformation and have realized the scheme in two-dimension discrete map, generalized Hénon map and three-dimension continuous chaotic system. In addition, we have taken into account the influence of weak noise, and the experimental results have demonstrated that the system had robustness.
     利用线性变换构造广义混沌同步系统的方法,在电路实验中实现了二维离散映象和广义 Hénon 映象以及三维连续混沌系统的广义同步,还进一步讨论了外加噪声对同步的影响,证明系统的广义同步具有鲁棒性;
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  “离散映象”译为未确定词的双语例句
     Topological Entropy in Two-Dimensional Dissipative Maps
     二维离散映象的拓扑熵
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     Controlling Chaos in Nonautonomous Dynamical System and Unidimensional Map
     非自治动力系统和一维离散映象中的混沌控制
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     By using subharmonic stroboscopic sampling method, very high resolution, comparable with that for discret mappings, has been reached in numerical study of periodically forced nonlinear oscillators.
     采用分频采样方法对于在周期外力作用下的非线性振子进行数值研究,达到可与离散映象相比拟的高分辨力。
短句来源
     In this paper,the topological entropy of two-dimensional dissipative mapsfrom period doubling bifurcation or the same period bifurcation to chaos iscalculated. The arbitrary relation of bifurcational routes in dissipative maps andtopological entropy corresponding to these routes are found and the intrinsicrelation between chaos and topological entropy is also revealed.
     本文计算了二维离散映象在经过倍周期分岔、同周期分岔到混沌时的拓扑熵,并得到这些映象通向混沌的各种道路和与其对应的拓扑熵之间的关系,揭示了拓扑熵与混沌之间的内在联系。
短句来源
     A preliminary analysis and results of numerical analogy are presented. The advantages of this method are that it does not need to know the linear properities and the periodicity about a UPO or that of the UPO extracted from the chaotic attractor. The choice of control parameter is independent of the controlled chaotic system.
     利用数字有限脉冲响应滤波器稳定微分动力系统和二维离散映象混沌吸引子中不稳定周期轨道的方法,实现了高周期轨道的稳定控制.分别研究了Lorenz系统和Henon映象,给出了初步的分析和数值模拟结果.这种方法的主要特点是不需要获取混沌系统中不稳定周期轨道的任何信息,控制参数的选择与被控混沌系统无关.
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  相似匹配句对
     Topological Entropy in Two-Dimensional Dissipative Maps
     二维离散映象的拓扑熵
短句来源
     From the famous discrete W.
     从离散型W.
短句来源
     (2) discrete step;
     (2)离散;
短句来源
     Controlling Chaos in Nonautonomous Dynamical System and Unidimensional Map
     非自治动力系统和一维离散映象中的混沌控制
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     Chaotic Behavior in the Helleman Mapping
     Helleman映象的紊动性
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  discrete map
From the solutions of the deterministic equations, a discrete map is constructed showing that the periodic and chaotic solutions form a Feigenbaum scenarium.
      
For a given 2-dimensional dissipative discrete map generating chaotic dynamics we present the phenomenological construction of a quantum mechanical master equation which reduces to the given map in the classical limit.
      
Entrainment and chaos in a discrete map with commensurate external forcing
      
The behaviour of a discrete map under an external forcexn+1 = 1 - λxn2 + σsn is studied, where sn is a sequence of integer periodT representing an external force with a commensurate period.
      
Additionally, these dynamics can be modeled by a simple, discrete map, which has been used to describe the dynamics of the Belousov-Zhabotinsky reaction.
      
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By using subharmonic stroboscopic sampling method, very high resolution, comparable with that for discret mappings, has been reached in numerical study of periodically forced nonlinear oscillators. For the first time period-doubling bifurcation sequences up to 8192th subharmonics and corresponding sequences of chaotic bands are identified for a system, described by ordinary differential equations. Secondary and tertiary bifurcation sequences embedded in chaotic bands are shown to exist. Merits and limitations...

By using subharmonic stroboscopic sampling method, very high resolution, comparable with that for discret mappings, has been reached in numerical study of periodically forced nonlinear oscillators. For the first time period-doubling bifurcation sequences up to 8192th subharmonics and corresponding sequences of chaotic bands are identified for a system, described by ordinary differential equations. Secondary and tertiary bifurcation sequences embedded in chaotic bands are shown to exist. Merits and limitations of this method as well as some precaution in using it are discussed briefly.

采用分频采样方法对于在周期外力作用下的非线性振子进行数值研究,达到可与离散映象相比拟的高分辨力。首次为常微分方程组描述的系统确定了高达8192分频的倍周期分岔序列和相应的“混乱”带的序列,并证实存在着嵌在混乱带中的二阶和三阶分岔序列。讨论了分频采样方法的优点和局限性,以及使用这一方法时应注意的问题。

In this paper,the topological entropy of two-dimensional dissipative mapsfrom period doubling bifurcation or the same period bifurcation to chaos iscalculated.The arbitrary relation of bifurcational routes in dissipative maps andtopological entropy corresponding to these routes are found and the intrinsicrelation between chaos and topological entropy is also revealed.

本文计算了二维离散映象在经过倍周期分岔、同周期分岔到混沌时的拓扑熵,并得到这些映象通向混沌的各种道路和与其对应的拓扑熵之间的关系,揭示了拓扑熵与混沌之间的内在联系。

Abstract Finite impulse response digital filter was used to stabilize the unstable periodic orbits (UPO) embedded in a chaotic attractor of differential dynamic system and two dimensional map; and thus high periodic orbits was controlled. As examples we studied the Lorenz system and Henon map. A preliminary analysis and results of numerical analogy are presented. The advantages of this method are that it does not need to know the linear properities and the periodicity about a UPO or that of the UPO extracted...

Abstract Finite impulse response digital filter was used to stabilize the unstable periodic orbits (UPO) embedded in a chaotic attractor of differential dynamic system and two dimensional map; and thus high periodic orbits was controlled. As examples we studied the Lorenz system and Henon map. A preliminary analysis and results of numerical analogy are presented. The advantages of this method are that it does not need to know the linear properities and the periodicity about a UPO or that of the UPO extracted from the chaotic attractor. The choice of control parameter is independent of the controlled chaotic system.

利用数字有限脉冲响应滤波器稳定微分动力系统和二维离散映象混沌吸引子中不稳定周期轨道的方法,实现了高周期轨道的稳定控制.分别研究了Lorenz系统和Henon映象,给出了初步的分析和数值模拟结果.这种方法的主要特点是不需要获取混沌系统中不稳定周期轨道的任何信息,控制参数的选择与被控混沌系统无关.

 
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