Separatrix splitting in Henon's transformation

被引:0
|
作者
Chernov, VL [1 ]
机构
[1] St Petersburg State Univ, Inst Phys, Dept Math Phys, St Petersburg 198904, Russia
来源
CONTROL OF OSCILLATIONS AND CHAOS, VOLS 1-3, PROCEEDINGS | 2000年
关键词
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper contains the most important results on the separatrix splitting of one of the area-preserving maps of the plane, Henon's map. Here is a complete proof of an asymptotic formula for the homoclinic invariant.
引用
收藏
页码:135 / 136
页数:2
相关论文
共 50 条
  • [31] ESCAPE OF PARTICLES ORBITING ASTEROIDS IN THE PRESENCE OF RADIATION PRESSURE THROUGH SEPARATRIX SPLITTING
    HARRY DANKOWICZ
    Celestial Mechanics and Dynamical Astronomy, 1997, 67 : 63 - 85
  • [32] CANONICAL TRANSFORMATION BETWEEN INTEGRABLE HENON-HEILES SYSTEMS
    SALERNO, M
    ENOLSKII, VZ
    LEYKIN, DV
    PHYSICAL REVIEW E, 1994, 49 (06): : 5897 - 5899
  • [33] Digital audio signals encryption by Mobius transformation and Henon map
    Shah, Dawood
    Shah, Tariq
    Jamal, Sajjad Shoukat
    MULTIMEDIA SYSTEMS, 2020, 26 (02) : 235 - 245
  • [34] Magnetohydrodynamic Stability of a Toroidal Plasma's Separatrix
    Webster, A. J.
    Gimblett, C. G.
    PHYSICAL REVIEW LETTERS, 2009, 102 (03)
  • [35] Semiclassical perturbations of single-degree-of-freedom Hamiltonian systems I: Separatrix splitting
    Ohsawa, Tomoki
    Yagasaki, Kazuyuki
    JOURNAL OF MATHEMATICAL PHYSICS, 2024, 65 (10)
  • [36] Approximation of Dynamical System's Separatrix Curves
    Cavoretto, Roberto
    Chaudhuri, Sanjay
    De Rossi, Alessandra
    Menduni, Eleonora
    Moretti, Francesca
    Rodi, Maria Caterina
    Venturino, Ezio
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS A-C, 2011, 1389
  • [37] SPLITTING TREES STOPPED WHEN THE FIRST CLOCK RINGS AND VERVAAT'S TRANSFORMATION
    Lambert, Amaury
    Trapman, Pieter
    JOURNAL OF APPLIED PROBABILITY, 2013, 50 (01) : 208 - 227
  • [38] Investigation on the splitting-merging passive micromixer based on Baker's transformation
    Wang Ruijin
    Lijin Beiqi
    Shi Dongdong
    Zhu Zefei
    SENSORS AND ACTUATORS B-CHEMICAL, 2017, 249 : 395 - 404
  • [39] An Efficient and Lossless Fingerprint Encryption Algorithm Using Henon Map & Arnold Transformation
    Mehta, Garima
    Dutta, Malay Kishore
    Karasek, Jan
    Kim, Pyung Soo
    2013 INTERNATIONAL CONFERENCE ON CONTROL COMMUNICATION AND COMPUTING (ICCC), 2013, : 485 - +
  • [40] Type III Solar Radio Burst Source Region Splitting due to a Quasi-separatrix Layer
    McCauley, Patrick I.
    Cairns, Iver H.
    Morgan, John
    Gibson, Sarah E.
    Harding, James C.
    Lonsdale, Colin
    Oberoi, Divya
    ASTROPHYSICAL JOURNAL, 2017, 851 (02):