Terminology for the Description of Dynamics

Last uploaded: April 25, 2014
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Preferred Name

Hopf bifurcation
Synonyms

Andronov-Hopf Bifurcation
Definitions

A `local bifurcation` [http://identifiers.org/teddy/TEDDY_0000069] in which a `stable spiral` [http://identifiers.org/teddy/TEDDY_0000126] changes in an `unstable spiral` [http://identifiers.org/teddy/TEDDY_0000127]. The linearisation around the fixed point [http://identifiers.org/teddy/TEDDY_0000086] has two conjugate eigenvalues. This eigenvalues cross simultaneously the imaginary axis from left (negative real part) to the right during the bifurcation.
ID

http://identifiers.org/teddy/TEDDY_0000072
altLabel

Andronov-Hopf Bifurcation
definition

A `local bifurcation` [http://identifiers.org/teddy/TEDDY_0000069] in which a `stable spiral` [http://identifiers.org/teddy/TEDDY_0000126] changes in an `unstable spiral` [http://identifiers.org/teddy/TEDDY_0000127]. The linearisation around the fixed point [http://identifiers.org/teddy/TEDDY_0000086] has two conjugate eigenvalues. This eigenvalues cross simultaneously the imaginary axis from left (negative real part) to the right during the bifurcation.
label

Hopf bifurcation
prefixIRI

TEDDY_0000072
prefLabel

Hopf bifurcation
seeAlso

http://identifiers.org/isbn/0738204536
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_0000123

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_0000124

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_0000125

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_0000121

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_0000122

http://identifiers.org/teddy/TEDDY_0000075

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_0000069
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http://purl.jp/bio/4/id/200906064908276633 IOBC LOOM