Terminology for the Description of Dynamics

Last uploaded: April 25, 2014
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Preferred Name

local bifurcation
Synonyms

bifurcation of equilibrium point

bifurcation of equilibrium

bifurcation of fixed point

bifurcation from steady state
Definitions

A `bifurcation` [http://identifiers.org/teddy/TEDDY_0000053] in which a stable [http://identifiers.org/teddy/TEDDY_0000133] fixed point [http://identifiers.org/teddy/TEDDY_0000086] changes to an unstable [not TEDDY_0000133] one or vanishes. It can be detected within any small neighborhood of the fixed point: the real part of the eigenvalue of the linarisation around the fixed point is zero at the bifurcation.
ID

http://identifiers.org/teddy/TEDDY_0000069
altLabel

bifurcation of equilibrium point

bifurcation of equilibrium

bifurcation of fixed point

bifurcation from steady state
definition

A `bifurcation` [http://identifiers.org/teddy/TEDDY_0000053] in which a stable [http://identifiers.org/teddy/TEDDY_0000133] fixed point [http://identifiers.org/teddy/TEDDY_0000086] changes to an unstable [not TEDDY_0000133] one or vanishes. It can be detected within any small neighborhood of the fixed point: the real part of the eigenvalue of the linarisation around the fixed point is zero at the bifurcation.
label

local bifurcation
prefixIRI

TEDDY_0000069
prefLabel

local bifurcation
seeAlso

http://identifiers.org/isbn/0387983821

http://en.wikipedia.org/wiki/Bifurcation_theory#Local_bifurcations
disjointWith

http://identifiers.org/teddy/TEDDY_0000137

http://identifiers.org/teddy/TEDDY_0000092

http://identifiers.org/teddy/TEDDY_0000164

http://identifiers.org/teddy/TEDDY_0000091

http://identifiers.org/teddy/TEDDY_0000162

http://identifiers.org/teddy/TEDDY_0000098

http://identifiers.org/teddy/TEDDY_0000088

http://identifiers.org/teddy/TEDDY_0000090

http://identifiers.org/teddy/TEDDY_0000111

http://identifiers.org/teddy/TEDDY_0000138

http://identifiers.org/teddy/TEDDY_0000085

http://identifiers.org/teddy/TEDDY_0000148

http://identifiers.org/teddy/TEDDY_0000167

http://identifiers.org/teddy/TEDDY_0000104

http://identifiers.org/teddy/TEDDY_0000105

http://identifiers.org/teddy/TEDDY_0000139

http://identifiers.org/teddy/TEDDY_0000129

http://identifiers.org/teddy/TEDDY_obsolete

http://identifiers.org/teddy/TEDDY_0000110

http://identifiers.org/teddy/TEDDY_0000144

http://identifiers.org/teddy/TEDDY_0000094

http://identifiers.org/teddy/TEDDY_0000119

http://identifiers.org/teddy/TEDDY_0000097

http://identifiers.org/teddy/TEDDY_0000116

http://identifiers.org/teddy/TEDDY_0000096

http://identifiers.org/teddy/TEDDY_0000117

http://identifiers.org/teddy/TEDDY_0000145

http://identifiers.org/teddy/TEDDY_0000080

http://identifiers.org/teddy/TEDDY_0000149

http://identifiers.org/teddy/TEDDY_0000118

http://identifiers.org/teddy/TEDDY_0000133

http://identifiers.org/teddy/TEDDY_0000135

http://identifiers.org/teddy/TEDDY_0000099

http://identifiers.org/teddy/TEDDY_0000113

http://identifiers.org/teddy/TEDDY_0000126

http://identifiers.org/teddy/TEDDY_0000081

http://identifiers.org/teddy/TEDDY_0000101

http://identifiers.org/teddy/TEDDY_0000165

http://identifiers.org/teddy/TEDDY_0000087

http://identifiers.org/teddy/TEDDY_0000136

http://identifiers.org/teddy/TEDDY_0000130

http://identifiers.org/teddy/TEDDY_0000079

http://identifiers.org/teddy/TEDDY_0000163

http://identifiers.org/teddy/TEDDY_0000151

http://identifiers.org/teddy/TEDDY_0000179

http://identifiers.org/teddy/TEDDY_0000083

http://identifiers.org/teddy/TEDDY_0000140

http://identifiers.org/teddy/TEDDY_0000157

http://identifiers.org/teddy/TEDDY_0000134

http://identifiers.org/teddy/TEDDY_0000108

http://identifiers.org/teddy/TEDDY_0000109

http://identifiers.org/teddy/TEDDY_0000115

http://identifiers.org/teddy/TEDDY_0000175

http://identifiers.org/teddy/TEDDY_0000103

http://identifiers.org/teddy/TEDDY_0000100

http://identifiers.org/teddy/TEDDY_0000084

http://identifiers.org/teddy/TEDDY_0000114

http://identifiers.org/teddy/TEDDY_0000093

http://identifiers.org/teddy/TEDDY_0000146

http://identifiers.org/teddy/TEDDY_0000178

http://identifiers.org/teddy/TEDDY_0000095

http://identifiers.org/teddy/TEDDY_0000102

http://identifiers.org/teddy/TEDDY_0000152

http://identifiers.org/teddy/TEDDY_0000143

http://identifiers.org/teddy/TEDDY_0000166

http://identifiers.org/teddy/TEDDY_0000112

http://identifiers.org/teddy/TEDDY_0000082

http://identifiers.org/teddy/TEDDY_0000089

http://identifiers.org/teddy/TEDDY_0000142

http://identifiers.org/teddy/TEDDY_0000150

http://identifiers.org/teddy/TEDDY_0000107

http://identifiers.org/teddy/TEDDY_0000128

http://identifiers.org/teddy/TEDDY_0000127

http://identifiers.org/teddy/TEDDY_0000106

http://identifiers.org/teddy/TEDDY_0000131

http://identifiers.org/teddy/TEDDY_0000141

http://identifiers.org/teddy/TEDDY_0000086
subClassOf

http://identifiers.org/teddy/TEDDY_0000053
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