Terminology for the Description of Dynamics

Last uploaded: April 25, 2014
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Preferred Name

saddle-node homoclinic bifurcation
Synonyms

infinite period bifurcation
Definitions

A global bifurcation [http://identifiers.org/teddy/TEDDY_0000147] in which node [http://identifiers.org/teddy/TEDDY_0000087] and a saddle [http://identifiers.org/teddy/TEDDY_0000089] collide to a saddle [http://identifiers.org/teddy/TEDDY_0000089] at the bifurcation point, connected by a homoclinic saddle connection [http://identifiers.org/teddy/TEDDY_0000100]. Above the bifurcation point a limit cycle [http://identifiers.org/teddy/TEDDY_0000051] appears and the saddle [http://identifiers.org/teddy/TEDDY_0000089] vanishes. The period of this cycle tends to infinity as the parameter approaches its bifurcation value.
ID

http://identifiers.org/teddy/TEDDY_0000119
altLabel

infinite period bifurcation
definition

A global bifurcation [http://identifiers.org/teddy/TEDDY_0000147] in which node [http://identifiers.org/teddy/TEDDY_0000087] and a saddle [http://identifiers.org/teddy/TEDDY_0000089] collide to a saddle [http://identifiers.org/teddy/TEDDY_0000089] at the bifurcation point, connected by a homoclinic saddle connection [http://identifiers.org/teddy/TEDDY_0000100]. Above the bifurcation point a limit cycle [http://identifiers.org/teddy/TEDDY_0000051] appears and the saddle [http://identifiers.org/teddy/TEDDY_0000089] vanishes. The period of this cycle tends to infinity as the parameter approaches its bifurcation value.
label

saddle-node homoclinic bifurcation
prefixIRI

TEDDY_0000119
prefLabel

saddle-node homoclinic bifurcation
seeAlso

http://identifiers.org/isbn/0387983821
disjointWith

http://identifiers.org/teddy/TEDDY_0000137

http://identifiers.org/teddy/TEDDY_0000164

http://identifiers.org/teddy/TEDDY_0000162

http://identifiers.org/teddy/TEDDY_0000123

http://identifiers.org/teddy/TEDDY_0000138

http://identifiers.org/teddy/TEDDY_0000148

http://identifiers.org/teddy/TEDDY_0000167

http://identifiers.org/teddy/TEDDY_0000139

http://identifiers.org/teddy/TEDDY_0000129

http://identifiers.org/teddy/TEDDY_obsolete

http://identifiers.org/teddy/TEDDY_0000144

http://identifiers.org/teddy/TEDDY_0000120

http://identifiers.org/teddy/TEDDY_0000124

http://identifiers.org/teddy/TEDDY_0000145

http://identifiers.org/teddy/TEDDY_0000125

http://identifiers.org/teddy/TEDDY_0000149

http://identifiers.org/teddy/TEDDY_0000133

http://identifiers.org/teddy/TEDDY_0000135

http://identifiers.org/teddy/TEDDY_0000126

http://identifiers.org/teddy/TEDDY_0000165

http://identifiers.org/teddy/TEDDY_0000136

http://identifiers.org/teddy/TEDDY_0000130

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_0000140

http://identifiers.org/teddy/TEDDY_0000157

http://identifiers.org/teddy/TEDDY_0000134

http://identifiers.org/teddy/TEDDY_0000175

http://identifiers.org/teddy/TEDDY_0000122

http://identifiers.org/teddy/TEDDY_0000146

http://identifiers.org/teddy/TEDDY_0000178

http://identifiers.org/teddy/TEDDY_0000152

http://identifiers.org/teddy/TEDDY_0000143

http://identifiers.org/teddy/TEDDY_0000166

http://identifiers.org/teddy/TEDDY_0000142

http://identifiers.org/teddy/TEDDY_0000150

http://identifiers.org/teddy/TEDDY_0000128

http://identifiers.org/teddy/TEDDY_0000127

http://identifiers.org/teddy/TEDDY_0000131

http://identifiers.org/teddy/TEDDY_0000141
subClassOf

http://identifiers.org/teddy/TEDDY_0000147
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