On isolated periodic solutions of differential systems |
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Authors: | M Farkas |
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Institution: | (1) Budapest, Hungary |
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Abstract: | Summary The concept of an isolated periodic solution of a periodic differential system is defined and it is proved that if the number
1 is not a characteristic multiplier of the variational system corresponding to the given periodic solution then this solution
is isolated. The concept of a periodic solution with isolated path of an autonomous system is defined and it is proved that
if the number 1 is a simple characteristic multiplier of the corresponding variational system then the periodic solution has
an isolated path. An example is given showing that the conditions above are not necessary.
Entrata in Redazione l’8 giugno 1974. |
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Keywords: | |
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