Bifurcations of one-dimensional reaction-diffusion equations

Changpin Li; Guanrong Chen

doi:10.1142/S0218127401002730

Bifurcations of one-dimensional reaction-diffusion equations

Changpin Li
, Guanrong Chen

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

8 Citations (Scopus)

Abstract

Bifurcations of a class of one-dimensional reaction-diffusion equations of the form u″ + μu - U^k = 0, where μ is a parameter, 2 ≤ k ∈ Z⁺, with boundary value condition u(0) = U(π) = 0, are investigated. Using the singularity theory based on the Liapunov-Schmidt reduction, some characterization results are obtained.

Original language	English
Pages (from-to)	1295-1306
Journal	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	11
Issue number	5
DOIs	https://doi.org/10.1142/S0218127401002730
Publication status	Published - May 2001
Externally published	Yes

Access Output

10.1142/S0218127401002730

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{5df55cacf529415e99e0f6490ab34b9b,

title = "Bifurcations of one-dimensional reaction-diffusion equations",

abstract = "Bifurcations of a class of one-dimensional reaction-diffusion equations of the form u″ + μu - Uk = 0, where μ is a parameter, 2 ≤ k ∈ Z+, with boundary value condition u(0) = U(π) = 0, are investigated. Using the singularity theory based on the Liapunov-Schmidt reduction, some characterization results are obtained.",

author = "Changpin Li and Guanrong Chen",

year = "2001",

month = may,

doi = "10.1142/S0218127401002730",

language = "English",

volume = "11",

pages = "1295--1306",

journal = "International Journal of Bifurcation and Chaos in Applied Sciences and Engineering",

issn = "0218-1274",

publisher = "World Scientific",

number = "5",

}

TY - JOUR

T1 - Bifurcations of one-dimensional reaction-diffusion equations

AU - Li, Changpin

AU - Chen, Guanrong

PY - 2001/5

Y1 - 2001/5

N2 - Bifurcations of a class of one-dimensional reaction-diffusion equations of the form u″ + μu - Uk = 0, where μ is a parameter, 2 ≤ k ∈ Z+, with boundary value condition u(0) = U(π) = 0, are investigated. Using the singularity theory based on the Liapunov-Schmidt reduction, some characterization results are obtained.

AB - Bifurcations of a class of one-dimensional reaction-diffusion equations of the form u″ + μu - Uk = 0, where μ is a parameter, 2 ≤ k ∈ Z+, with boundary value condition u(0) = U(π) = 0, are investigated. Using the singularity theory based on the Liapunov-Schmidt reduction, some characterization results are obtained.

UR - https://www.scopus.com/pages/publications/0035324895

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0035324895&origin=recordpage

U2 - 10.1142/S0218127401002730

DO - 10.1142/S0218127401002730

M3 - RGC 21 - Publication in refereed journal

SN - 0218-1274

VL - 11

SP - 1295

EP - 1306

JO - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

JF - International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

IS - 5

ER -

Bifurcations of one-dimensional reaction-diffusion equations

Abstract

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Cite this