A Hierarchy of Multidimensional Hénon-Heiles Systems

被引：0
|
作者：
Yunbo Zeng
机构：
[1] Tsinghua University,Department of Mathematical Sciences
来源：
Acta Mathematica Sinica | 2000年 / 16卷
关键词：
Higher-order constrained flow; Multidimensional Hénon-Heiles systems; Lax representation; Jacobi inversion problem; 58F07; 35Q53;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A hierarchy of multidimensional Hénon-Heiles (M-H-H) systems are constructed via the x- and tn-higher-order-constrained flows of KdV hierarchy. The Lax representation for the M-H-H hierarchy is determined from the adjoint representation of the auxiliary linear problem for the KdV hierarchy. By using the Lax representation the classical Poisson structure and r-matrix for the hierarchy are found and the Jacobi inversion problem for the hierarchy is constructed.
引用
收藏
页码：527 / 534
页数：7
相关论文
共 50 条
  • [31] An overview of the escape dynamics in the Hénon–Heiles Hamiltonian system
    Euaggelos E. Zotos
    Meccanica, 2017, 52 : 2615 - 2630
  • [32] An integrable hierarchy with a perturbed Henon-Heiles system
    Hone, A. N. W.
    Novikov, V.
    Verhoeven, C.
    INVERSE PROBLEMS, 2006, 22 (06) : 2001 - 2020
  • [33] Periodic orbits and non-integrability of Henon-Heiles systems
    Llibre, Jaume
    Jimenez-Lara, Lidia
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (20)
  • [34] Constructing Solutions for the Generalized Hénon–Heiles System Through the Painlevé Test
    S. Yu. Vernov
    Theoretical and Mathematical Physics, 2003, 135 : 792 - 801
  • [35] Reeb’s Theorem and Periodic Orbits for a Rotating Hénon–Heiles Potential
    V. Lanchares
    A. I. Pascual
    M. Iñarrea
    J. P. Salas
    J. F. Palacián
    P. Yanguas
    Journal of Dynamics and Differential Equations, 2021, 33 : 445 - 461
  • [36] Controlled H systems and Chomsky hierarchy
    Paun, Gheorghe
    Fundamenta Informaticae, 1997, 30 (01): : 45 - 57
  • [37] CKP and BKP Equations Related to the Generalized Quartic Hénon–Heiles Hamiltonian
    M. Musette
    C. Verhoeven
    Theoretical and Mathematical Physics, 2003, 137 : 1561 - 1573
  • [38] Liouvillian integrability of the three-dimensional generalized Hénon–Heiles Hamiltonian
    Idriss El Fakkousy
    Jaouad Kharbach
    Walid Chatar
    Mohamed Benkhali
    Abdellah Rezzouk
    Mohammed Ouazzani-Jamil
    The European Physical Journal Plus, 135
  • [39] Periodic Orbits for a Fifth-Order Generalized Hénon–Heiles Hamiltonian System
    M. Alvarez-Ramírez
    J. Lino Cornelio
    M. Medina
    Lobachevskii Journal of Mathematics, 2022, 43 : 1 - 9
  • [40] H∞ control of linear multidimensional discrete systems
    Feng, Zhi-Yong
    Wu, Qinghe
    Xu, Li
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2012, 23 (03) : 381 - 411
12345