Prolongationally stable discrete flows
Ronald Knight (1980)
Fundamenta Mathematicae
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Ronald Knight (1980)
Fundamenta Mathematicae
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Mogollon, Ramon (1980)
International Journal of Mathematics and Mathematical Sciences
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Konstantin Athanassopoulos (2006)
Colloquium Mathematicae
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We study the complexity of the flow in the region of attraction of an isolated invariant set. More precisely, we define the instablity depth, which is an ordinal and measures how far an isolated invariant set is from being asymptotically stable within its region of attraction. We provide upper and lower bounds of the instability depth in certain cases.
Saroop Kaul (1987)
Fundamenta Mathematicae
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M. L. C. Fernandes, F. Zanolin (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Ronald Knight (1983)
Fundamenta Mathematicae
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Alexander Shnirelman (1999-2000)
Séminaire Équations aux dérivées partielles
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