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Terminology for the Description of Dynamics
Last uploaded:
April 25, 2014
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Id | http://identifiers.org/teddy/TEDDY_0000119
http://identifiers.org/teddy/TEDDY_0000119
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Preferred Name | saddle-node homoclinic 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.
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Synonyms |
infinite period bifurcation
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Type | http://www.w3.org/2002/07/owl#Class |
All Properties
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. |
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altLabel |
infinite period bifurcation
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label |
saddle-node homoclinic bifurcation
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prefLabel |
saddle-node homoclinic bifurcation
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prefixIRI |
TEDDY_0000119
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seeAlso | |
subClassOf | |
type | |
disjointWith |
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