Fold and Homoclinic bifurcation
Clash Royale CLAN TAG#URR8PPP
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I have a question of the positioning of bifurcation lines in 2D-parameterspace.
say we have a system of ODE's with two bifurcation parameters.
My understanding of the bifurcation lines is that the Fold line should contain the Homoclinic, and that they only tangentially meet in a Takens Bogdanov bifurcation point, but don't cross.
Is this true?
differential-equations dynamical-systems bifurcation
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up vote
0
down vote
favorite
I have a question of the positioning of bifurcation lines in 2D-parameterspace.
say we have a system of ODE's with two bifurcation parameters.
My understanding of the bifurcation lines is that the Fold line should contain the Homoclinic, and that they only tangentially meet in a Takens Bogdanov bifurcation point, but don't cross.
Is this true?
differential-equations dynamical-systems bifurcation
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I have a question of the positioning of bifurcation lines in 2D-parameterspace.
say we have a system of ODE's with two bifurcation parameters.
My understanding of the bifurcation lines is that the Fold line should contain the Homoclinic, and that they only tangentially meet in a Takens Bogdanov bifurcation point, but don't cross.
Is this true?
differential-equations dynamical-systems bifurcation
I have a question of the positioning of bifurcation lines in 2D-parameterspace.
say we have a system of ODE's with two bifurcation parameters.
My understanding of the bifurcation lines is that the Fold line should contain the Homoclinic, and that they only tangentially meet in a Takens Bogdanov bifurcation point, but don't cross.
Is this true?
differential-equations dynamical-systems bifurcation
edited Aug 21 at 16:17
John Ma
37.7k93669
37.7k93669
asked Aug 20 at 13:02
1233023
1398
1398
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