Integrable mappings of the plane preserving biquadratic invariant curves III

Iatrou A.; Roberts JAG.

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Integrable mappings of the plane preserving biquadratic invariant curves III

机译：保留平面的二阶不变曲线的可积映射III

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We provide a new condition of foliation that enables the construction of very general integrable mappings of the plane preserving a biquadratic family of curves. (C) 2003 Elsevier B.V. All rights reserved. [References: 18]

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《Physica, A. Statistical mechanics and its applications》 |2003年第4期|共12页
作者
Iatrou A.; Roberts JAG.;
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正文语种 eng
中图分类物理学;
关键词
Integrable map; Integrability; Biquadratic; Invariant; Foliation; Soliton-equations; Systems;

机译：可积图;可积性;双二次性;不变性;叶面;孤子方程;系统;

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1. Integrable mappings of the plane preserving biquadratic invariant curves III [J] . Iatrou A., Roberts JAG. Physica, A. Statistical mechanics and its applications . 2003,第3a4期

机译：保留平面的二阶不变曲线的可积映射III
2. Integrable mappings of the plane preserving biquadratic invariant curves II [J] . Iatrou A., Roberts JAG. Nonlinearity . 2002,第2期

机译：保留平面的二阶不变曲线的可积映射II
3. Integrable mappings of the plane preserving biquadratic invariant curves [J] . Iatrou A., Roberts JAG. Journal of Physics, A. Mathematical and General: A Europhysics Journal . 2001,第34期

机译：保留双二次不变曲线的平面的可积映射
4. Reparameterization invariant distance on the space of curves in the hyperbolic plane [C] . Alice Le Brigant, Marc Arnaudon, Frederic Barbaresco International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering . 2014

机译：Reparameterization在双曲线平面中曲线空间不变的距离
5. Shape representation by B-spline curve modeling with applications in invariant curve matching, motion estimation and object tracking. [D] . Huang, Zhaohui. 1994

机译：通过B样条曲线建模进行形状表示，并应用于不变曲线匹配，运动估计和对象跟踪。
6. Determination of confocal profile and curved focal plane for OCT mapping of the attenuation coefficient [O] . Sabina Stefan, Ki-Soo Jeong, Collin Polucha, 2018

机译：OCT映射的衰减系数的共焦轮廓和弯曲焦平面的确定
7. Characterising singular curves in parametrised families of biquadratics: a classification and bifurcation analysis of singular biquadratic curves using discriminants and resultants [O] . Pettigrew James Austen Mathematics Statistics Faculty of Science UNSW 2009

机译：表征双二次方程参数族中的奇异曲线：使用判别式和结果对奇异双二次曲线进行分类和分叉分析

Integrable mappings of the plane preserving biquadratic invariant curves III

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