vector field with no periodic orbits that are non constants
$begingroup$
Give an example of non periodic vector field X on $mathbb{R}^2 $ non identically zero with a compact support such that X has no periodic orbits that are non constants.
I am not sure how I should interpret this question. If X has periodic orbits, they should be constant. But then the period is T=0 so they are non periodic? is it a contradiction?
Thank you for any insights.
vector-fields
asked Dec 10 '18 at 15:48
PerelManPerelMan
709313
$endgroup$
add a comment |
$begingroup$
Give an example of non periodic vector field X on $mathbb{R}^2 $ non identically zero with a compact support such that X has no periodic orbits that are non constants.
I am not sure how I should interpret this question. If X has periodic orbits, they should be constant. But then the period is T=0 so they are non periodic? is it a contradiction?
Thank you for any insights.
vector-fields
asked Dec 10 '18 at 15:48
PerelManPerelMan
709313
$endgroup$
add a comment |
$begingroup$
Give an example of non periodic vector field X on $mathbb{R}^2 $ non identically zero with a compact support such that X has no periodic orbits that are non constants.
I am not sure how I should interpret this question. If X has periodic orbits, they should be constant. But then the period is T=0 so they are non periodic? is it a contradiction?
Thank you for any insights.
vector-fields
asked Dec 10 '18 at 15:48
PerelManPerelMan
709313
$endgroup$
Give an example of non periodic vector field X on $mathbb{R}^2 $ non identically zero with a compact support such that X has no periodic orbits that are non constants.
I am not sure how I should interpret this question. If X has periodic orbits, they should be constant. But then the period is T=0 so they are non periodic? is it a contradiction?
Thank you for any insights.
vector-fields
vector-fields
asked Dec 10 '18 at 15:48
PerelManPerelMan
709313
asked Dec 10 '18 at 15:48
PerelManPerelMan
709313
asked Dec 10 '18 at 15:48
PerelManPerelMan
709313
asked Dec 10 '18 at 15:48
PerelManPerelMan
709313
asked Dec 10 '18 at 15:48
PerelManPerelMan
709313
709313
add a comment |
add a comment |
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