SOLVABLE SYSTEMS OF ISOCHRONOUS, MULTI-PERIODIC OR ASYMPTOTICALLY ISOCHRONOUS NONLINEAR OSCILLATORS

被引:4
作者
Calogero, F. [1 ,2 ]
Leyvraz, F. [3 ,4 ]
机构
[1] Univ Roma La Sapienza, Dipartimento Fis, Rome, Italy
[2] Ist Nazl Fis Nucl, Sez Roma, Rome, Italy
[3] Ctr Int Ciencias, Cuernavaca, Morelos, Mexico
[4] Univ Los Andes, Dept Fis, Bogota, Colombia
关键词
Nonlinear oscillators; isochronous; multi-periodic; asymptotically isochronous; matrix ODEs;
D O I
10.1142/S1402925110000623
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A simple technique is identified to manufacture solvable nonlinear dynamical systems, and in particular three classes whose generic solutions are, respectively, isochronous, multi-periodic, or asymptotically isochronous.
引用
收藏
页码:111 / 120
页数:10
相关论文
共 5 条
  • [1] [Anonymous], LECT NOTES PHYS MO M
  • [2] [Anonymous], 2008, Isochronous Systems
  • [3] Integrable systems of quartic oscillators II
    Bruschi, M
    Calogero, F
    [J]. PHYSICS LETTERS A, 2004, 327 (04) : 320 - 326
  • [4] New integrable PDEs of boomeronic type
    Calogero, F
    Degasperis, A
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (26): : 8349 - 8376
  • [5] A new class of solvable dynamical systems
    Calogero, Francesco
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (05)