On the stability of isolating integrals. I. Effect of the perturbation in the potential function

Yôji Aizawa; Nobuhiko Saitô

On the stability of isolating integrals. I. Effect of the perturbation in the potential function

Yôji Aizawa^*, Nobuhiko Saitô

^*Corresponding author for this work

Waseda University

Research output: Contribution to journal › Article › peer-review

42 Citations (Scopus)

Abstract

The stability of isolating integrals against the perturbation of potential function was studied by the method of surface of section in the classical dynamical system of two degrees of freedom with the hamiltonian, H=1/2(ẋ²+ẏ²+x²+y²+2x ²y+2/3y³-4/3εy³), in the range -1<ε<1. This system has isolating integrals in this range. Their structure is found to change discontinuously at ε=-1/2 and ε=0.

Original language	English
Pages (from-to)	1636-1640
Number of pages	5
Journal	Journal of the Physical Society of Japan
Volume	32
Issue number	6
Publication status	Published - 1972 Jun

ASJC Scopus subject areas

Physics and Astronomy(all)

Cite this

@article{e3d1089c917a413d914efd400af70962,

title = "On the stability of isolating integrals. I. Effect of the perturbation in the potential function",

abstract = "The stability of isolating integrals against the perturbation of potential function was studied by the method of surface of section in the classical dynamical system of two degrees of freedom with the hamiltonian, H=1/2(ẋ2+ẏ2+x2+y2+2x 2y+2/3y3-4/3εy3), in the range -1<ε<1. This system has isolating integrals in this range. Their structure is found to change discontinuously at ε=-1/2 and ε=0.",

author = "Y{\^o}ji Aizawa and Nobuhiko Sait{\^o}",

year = "1972",

month = jun,

language = "English",

volume = "32",

pages = "1636--1640",

journal = "Journal of the Physical Society of Japan",

issn = "0031-9015",

publisher = "Physical Society of Japan",

number = "6",

}

TY - JOUR

T1 - On the stability of isolating integrals. I. Effect of the perturbation in the potential function

AU - Aizawa, Yôji

AU - Saitô, Nobuhiko

PY - 1972/6

Y1 - 1972/6

N2 - The stability of isolating integrals against the perturbation of potential function was studied by the method of surface of section in the classical dynamical system of two degrees of freedom with the hamiltonian, H=1/2(ẋ2+ẏ2+x2+y2+2x 2y+2/3y3-4/3εy3), in the range -1<ε<1. This system has isolating integrals in this range. Their structure is found to change discontinuously at ε=-1/2 and ε=0.

AB - The stability of isolating integrals against the perturbation of potential function was studied by the method of surface of section in the classical dynamical system of two degrees of freedom with the hamiltonian, H=1/2(ẋ2+ẏ2+x2+y2+2x 2y+2/3y3-4/3εy3), in the range -1<ε<1. This system has isolating integrals in this range. Their structure is found to change discontinuously at ε=-1/2 and ε=0.

UR - http://www.scopus.com/inward/record.url?scp=0001167764&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001167764&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001167764

SN - 0031-9015

VL - 32

SP - 1636

EP - 1640

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

IS - 6

ER -

On the stability of isolating integrals. I. Effect of the perturbation in the potential function

Abstract

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this