Chaotic dynamics in systems with square symmetry

Dieter Armbruster; John Guckenheimer; Seunghwan Kim

doi:10.1016/0375-9601(89)90078-9

Chaotic dynamics in systems with square symmetry

Dieter Armbruster, John Guckenheimer, Seunghwan Kim

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

49 Scopus citations

Abstract

A dynamical model for the interaction of nearly degenerate modes with square symmetry is studied. With the help of multiparameter bifurcation theory we find a "large" parameter region of chaotic behavior - a wedge with a positive angle - near the degenerate point and explore its connection to the underlying nonintegrable Hamiltonian.

Original language	English (US)
Pages (from-to)	416-420
Number of pages	5
Journal	Physics Letters A
Volume	140
Issue number	7-8
DOIs	https://doi.org/10.1016/0375-9601(89)90078-9
State	Published - Oct 9 1989
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy(all)

Access to Document

10.1016/0375-9601(89)90078-9

Cite this

@article{57fc9d09ab314b018edbf095185f6fd3,

title = "Chaotic dynamics in systems with square symmetry",

abstract = "A dynamical model for the interaction of nearly degenerate modes with square symmetry is studied. With the help of multiparameter bifurcation theory we find a {"}large{"} parameter region of chaotic behavior - a wedge with a positive angle - near the degenerate point and explore its connection to the underlying nonintegrable Hamiltonian.",

author = "Dieter Armbruster and John Guckenheimer and Seunghwan Kim",

note = "Funding Information: This research has been partially supported by the National Science Foundation and the Army Research Office through the Mathematical Sciences Institute at Cornell University.",

year = "1989",

month = oct,

day = "9",

doi = "10.1016/0375-9601(89)90078-9",

language = "English (US)",

volume = "140",

pages = "416--420",

journal = "Physics Letters A",

issn = "0375-9601",

publisher = "Elsevier",

number = "7-8",

}

TY - JOUR

T1 - Chaotic dynamics in systems with square symmetry

AU - Armbruster, Dieter

AU - Guckenheimer, John

AU - Kim, Seunghwan

N1 - Funding Information: This research has been partially supported by the National Science Foundation and the Army Research Office through the Mathematical Sciences Institute at Cornell University.

PY - 1989/10/9

Y1 - 1989/10/9

N2 - A dynamical model for the interaction of nearly degenerate modes with square symmetry is studied. With the help of multiparameter bifurcation theory we find a "large" parameter region of chaotic behavior - a wedge with a positive angle - near the degenerate point and explore its connection to the underlying nonintegrable Hamiltonian.

AB - A dynamical model for the interaction of nearly degenerate modes with square symmetry is studied. With the help of multiparameter bifurcation theory we find a "large" parameter region of chaotic behavior - a wedge with a positive angle - near the degenerate point and explore its connection to the underlying nonintegrable Hamiltonian.

UR - http://www.scopus.com/inward/record.url?scp=4244103350&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4244103350&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(89)90078-9

DO - 10.1016/0375-9601(89)90078-9

M3 - Article

AN - SCOPUS:4244103350

SN - 0375-9601

VL - 140

SP - 416

EP - 420

JO - Physics Letters A

JF - Physics Letters A

IS - 7-8

ER -

Chaotic dynamics in systems with square symmetry

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this