trace

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thank you  Preben Alsholm and Markiyan Hirnyk . yes it was relavant to stability.

 

thank you for your time

thank you  Preben Alsholm and Markiyan Hirnyk . yes it was relavant to stability.

 

thank you for your time

Preben Alsholm sorry for many questions i asked , in the paper that i refrenced , in page 19 , figure 4 is drawn by maple ?

 

 

Thank you again

Thank you very much  . i''ve got what you said.

 

 i have another problem too which for soliving a 4-D dynamical system as above maple give one critical point and Warning, solutions may have been lost ! what am i do to get all of critical points ?

 

thank you for you time  

 

aa.mw 

Thank you very much  . i''ve got what you said.

 

 i have another problem too which for soliving a 4-D dynamical system as above maple give one critical point and Warning, solutions may have been lost ! what am i do to get all of critical points ?

 

thank you for you time  

 

aa.mw 

sorry , i don't know what happened !

please download from below :

http://arxiv.org/abs/gr-qc/0612180

 I've got the point you indicated , for more precise discussion i upload the paper that i'm stuck ( page 5,6,7) , resub.pdf .

 

thank you for your time 

you are right preben alsholm , 

if we call m for point (-1,0,0) , m_2 and take r = z/y , i know  the eigenvalues are as below , but i dont understand how to the below eigenvalues are obtained !!

 

eigenvalue.mw

-2,1/(2)[7+1/(m[2](r))-(diff(m(( )[2])[],r))/(m[2]^(( )^(2))(r))r(1+r)+sqrt({7+1/(m[2](r))-(diff(m( )[2],r))/(m[2]^(( )^(2))(r))r(1+r)}^(2)-4{12+(3)/(m[2](r))-(diff(m( )[2],r))/(m[2]^(( )^(2))(r))r(3+4 r)})]

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Download eigenvalue.mw

 

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