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1)  two-dimensional anti-tangent mapping
二维反正切映射
1.
Using the analysis method, it is proved that the two-dimensional anti-tangent mapping has the shift automorphism σ as a subsystem, which implies chaos for the parameters in some range of values.
本文用解析方法证明二维反正切映射在某个参数范围内,具有移位自同构σ作为子系统,此时有浑沌现象。
2)  two-dimensional maps
二维映射
1.
The algebraic structures of coefficients in normal forms of two-dimensional maps in resonance and non-resonance cases are obtained by introducing the invariant under complex affine transformation and the invariant under rotational transformation.
引入复仿射不变量及旋转不变量概念,得到二维映射在共振与非共振情形下规范型系数的代数结构,并利用规范型讨论二维映射的多重Hopf分支。
3)  coupled logistic map
二维logistic映射
1.
Chaotic control of the coupled Logistic map;
二维Logistic映射的混沌控制
2.
Researches on Chaos and Fractal of the Coupled Logistic Map;
二维Logistic映射中混沌与分形的研究
3.
Dynamic analysis of the coupled logistic map redounds to know and predict the characteristics of high-dimension complex nonlinear system.
对二维logistic映射的动力学研究有助于认识和预测更复杂的高维非线性系统的性态。
4)  two-dimensional real map
二维实映射
1.
The nonlinear Schrodinger equation of the nonlinear Kronig-Penney superlattice is transformed to a set of two-dimensional real map.
将非线性Kronig—Penney超晶格的定态非线性薛定额方程,化为一个二维实映射,进行数值分析得到非线性超晶格的能带结构与非线性系数及波强度有关,给出了不同非线性系数情况下的能带结构以及透射波强度对于入射波强度呈现的多稳态结构。
5)  the two dimensional Chebyshev mapping
二维Chebyshev映射
6)  two-dimensional chaotic map
二维混沌映射
补充资料:正切

当某角的顶点与平面直角坐标系的原点重合,而该角的始边又与x轴的正向重合时,角终边上任意点的纵坐标除以该点的非零横坐标所得的商

tgb= 对边比邻边

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