Slowly varying control parameters, delayed bifurcations, and the stability of spikes in reaction-diffusion systems

J. C. Tzou; M. J. Ward; T. Kolokolnikov

doi:10.1016/j.physd.2014.09.008

Slowly varying control parameters, delayed bifurcations, and the stability of spikes in reaction-diffusion systems

J. C. Tzou, M. J. Ward, T. Kolokolnikov

Neuroscience

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

32 Citations (Scopus)

Original language	English
Pages (from-to)	24-43
Number of pages	20
Journal	Physica D: Nonlinear Phenomena
Volume	290
DOIs	https://doi.org/10.1016/j.physd.2014.09.008
Publication status	Published - Jan 1 2015

ASJC Scopus Subject Areas

Condensed Matter Physics
Applied Mathematics
Statistical and Nonlinear Physics
Mathematical Physics

Keywords

Delayed bifurcations
Explicitly solvable nonlocal eigenvalue problem
Hopf bifurcation
Reaction-diffusion systems
Singular perturbations
WKB

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10.1016/j.physd.2014.09.008

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title = "Slowly varying control parameters, delayed bifurcations, and the stability of spikes in reaction-diffusion systems",

keywords = "Delayed bifurcations, Explicitly solvable nonlocal eigenvalue problem, Hopf bifurcation, Reaction-diffusion systems, Singular perturbations, WKB",

author = "Tzou, {J. C.} and Ward, {M. J.} and T. Kolokolnikov",

year = "2015",

month = jan,

day = "1",

doi = "10.1016/j.physd.2014.09.008",

language = "English",

volume = "290",

pages = "24--43",

journal = "Physica D: Nonlinear Phenomena",

issn = "0167-2789",

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TY - JOUR

T1 - Slowly varying control parameters, delayed bifurcations, and the stability of spikes in reaction-diffusion systems

AU - Tzou, J. C.

AU - Ward, M. J.

AU - Kolokolnikov, T.

PY - 2015/1/1

Y1 - 2015/1/1

KW - Delayed bifurcations

KW - Explicitly solvable nonlocal eigenvalue problem

KW - Hopf bifurcation

KW - Reaction-diffusion systems

KW - Singular perturbations

KW - WKB

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U2 - 10.1016/j.physd.2014.09.008

DO - 10.1016/j.physd.2014.09.008

M3 - Article

AN - SCOPUS:84908240851

SN - 0167-2789

VL - 290

SP - 24

EP - 43

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

ER -

Slowly varying control parameters, delayed bifurcations, and the stability of spikes in reaction-diffusion systems

ASJC Scopus Subject Areas

Keywords

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