Displaying similar documents to “Non-linear stability analysis of higher order dissipative partial differential equations.”

Prolongations and stability in dynamical systems

J. Auslander, P. Seibert (1964)

Annales de l'institut Fourier

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Les auteurs étudient la notion de prolongement au sens de T. Ura et ses relations avec la notion d’ensembles positivement invariants. La stabilité au sens de Liapounoff est équivalente à l’invariance par prolongement. Les auteurs dégagent ensuite la notion de “prolongements abstraits” et les notions de stabilité correspondantes; la stabilité absolue (associée au prolongement minimal transitif) et la stabilité asymptotique jouent un rôle important.

On the global stable manifold

Alberto Abbondandolo, Pietro Majer (2006)

Studia Mathematica

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We give an alternative proof of the stable manifold theorem as an application of the (right and left) inverse mapping theorem on a space of sequences. We investigate the diffeomorphism class of the global stable manifold, a problem which in the general Banach setting gives rise to subtle questions about the possibility of extending germs of diffeomorphisms.

On absolute stability

Roger C. McCann (1972)

Annales de l'institut Fourier

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Absolute stability of a compact set is characterized by the cardinality of a fundamental system of positively invariant neighborhoods.

Another characterization of absolute stability

Roger G. McCann (1971)

Annales de l'institut Fourier

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The absolute stability of a compact set is characterized in terms of a fundamental system of positive invariant neighborhoods.