Finiteness of limit cycles in planar autonomous systems

Yang Kuang

doi:10.1080/00036818908839852

Finiteness of limit cycles in planar autonomous systems

Yang Kuang

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

2 Scopus citations

Abstract

Sufficient conditions are given to guarantee the finiteness of limit cycles in planar dissipative autonomous systems. Both analytic and nonanalytic cases are discussed.

Original language	English (US)
Pages (from-to)	253-264
Number of pages	12
Journal	Applicable Analysis
Volume	32
Issue number	3-4
DOIs	https://doi.org/10.1080/00036818908839852
State	Published - Jan 1 1989

Keywords

Analytic system
center-focus
graphic
limit cycle

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1080/00036818908839852

Cite this

@article{ebefdf7e2a0348a38f3ca60eed902533,

title = "Finiteness of limit cycles in planar autonomous systems",

abstract = "Sufficient conditions are given to guarantee the finiteness of limit cycles in planar dissipative autonomous systems. Both analytic and nonanalytic cases are discussed.",

keywords = "Analytic system, center-focus, graphic, limit cycle",

author = "Yang Kuang",

note = "Funding Information: 'Research partially supported by a FGiA grant from Arizona State University.",

year = "1989",

month = jan,

day = "1",

doi = "10.1080/00036818908839852",

language = "English (US)",

volume = "32",

pages = "253--264",

journal = "Applicable Analysis",

issn = "0003-6811",

publisher = "Taylor and Francis Ltd.",

number = "3-4",

}

TY - JOUR

T1 - Finiteness of limit cycles in planar autonomous systems

AU - Kuang, Yang

N1 - Funding Information: 'Research partially supported by a FGiA grant from Arizona State University.

PY - 1989/1/1

Y1 - 1989/1/1

N2 - Sufficient conditions are given to guarantee the finiteness of limit cycles in planar dissipative autonomous systems. Both analytic and nonanalytic cases are discussed.

AB - Sufficient conditions are given to guarantee the finiteness of limit cycles in planar dissipative autonomous systems. Both analytic and nonanalytic cases are discussed.

KW - Analytic system

KW - center-focus

KW - graphic

KW - limit cycle

UR - http://www.scopus.com/inward/record.url?scp=84963254208&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84963254208&partnerID=8YFLogxK

U2 - 10.1080/00036818908839852

DO - 10.1080/00036818908839852

M3 - Article

AN - SCOPUS:84963254208

SN - 0003-6811

VL - 32

SP - 253

EP - 264

JO - Applicable Analysis

JF - Applicable Analysis

IS - 3-4

ER -

Finiteness of limit cycles in planar autonomous systems

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this