Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite-dimensional systems

Shui Nee Chow; Bo Deng

doi:10.1090/S0002-9947-1989-0988882-6

Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite-dimensional systems

Shui Nee Chow, Bo Deng

Mathematics

Research output: Contribution to journal › Article

10 Scopus citations

Abstract

Under some generic conditions, we show how a unique stable periodic orbit can bifurcate from a homoclinic orbit for semilinear parabolic equations and retarded functional differential equations. This is a generalization of a result of Sil'nikov for ordinary differential equations.

Original language	English (US)
Pages (from-to)	539-587
Number of pages	49
Journal	Transactions of the American Mathematical Society
Volume	312
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9947-1989-0988882-6
State	Published - Apr 1989

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1090/S0002-9947-1989-0988882-6

Fingerprint Dive into the research topics of 'Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite-dimensional systems'. Together they form a unique fingerprint.

Cite this

Chow, S. N., & Deng, B. (1989). Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite-dimensional systems. Transactions of the American Mathematical Society, 312(2), 539-587. https://doi.org/10.1090/S0002-9947-1989-0988882-6

@article{444d82b91ef0403e9625124636e9b583,

title = "Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite-dimensional systems",

abstract = "Under some generic conditions, we show how a unique stable periodic orbit can bifurcate from a homoclinic orbit for semilinear parabolic equations and retarded functional differential equations. This is a generalization of a result of Sil'nikov for ordinary differential equations.",

author = "Chow, {Shui Nee} and Bo Deng",

year = "1989",

month = apr,

doi = "10.1090/S0002-9947-1989-0988882-6",

language = "English (US)",

volume = "312",

pages = "539--587",

journal = "Transactions of the American Mathematical Society",

issn = "0002-9947",

publisher = "American Mathematical Society",

number = "2",

}

TY - JOUR

T1 - Bifurcation of a unique stable periodic orbit from a homoclinic orbit in infinite-dimensional systems

AU - Chow, Shui Nee

AU - Deng, Bo

PY - 1989/4

Y1 - 1989/4

N2 - Under some generic conditions, we show how a unique stable periodic orbit can bifurcate from a homoclinic orbit for semilinear parabolic equations and retarded functional differential equations. This is a generalization of a result of Sil'nikov for ordinary differential equations.

AB - Under some generic conditions, we show how a unique stable periodic orbit can bifurcate from a homoclinic orbit for semilinear parabolic equations and retarded functional differential equations. This is a generalization of a result of Sil'nikov for ordinary differential equations.

UR - http://www.scopus.com/inward/record.url?scp=0000839324&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000839324&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-1989-0988882-6

DO - 10.1090/S0002-9947-1989-0988882-6

M3 - Article

AN - SCOPUS:0000839324

VL - 312

SP - 539

EP - 587

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 2

ER -