Temat: ODE - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Generic saddle-node bifurcation for cascade second order ODEs on manifolds
Autorzy:: Medveď, Milan
Powiązania:: https://bibliotekanauki.pl/articles/1294406.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: cascade
ODE
critical element
transversal
bifurcation
Opis:: Cascade second order ODEs on manifolds are defined. These objects are locally represented by coupled second order ODEs such that any solution of one of them can represent an external force for the other one. A generic saddle-node bifurcation theorem for 1-parameter families of cascade second order ODEs is proved.
Źródło:: Annales Polonici Mathematici; 1998, 68, 3; 211-225
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: A proof of the two-dimensional Markus-Yamabe Stability Conjecture and a generalization
Autorzy:: Feßler, Robert
Powiązania:: https://bibliotekanauki.pl/articles/1311487.pdf
Data publikacji:: 1995
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: Markus-Yamabe conjecture
asymptotic behaviour of solutions of ODE's
immersions
embeddings
injectivity of mappings
curve lifting
foliations
Opis:: The following problem of Markus and Yamabe is answered affirmatively: Let f be a local diffeomorphism of the euclidean plane whose jacobian matrix has negative trace everywhere. If f(0) = 0, is it true that 0 is a global attractor of the ODE dx/dt = f(x)? An old result of Olech states that this is equivalent to the question if such an f is injective. Here the problem is treated in the latter form by means of an investigation of the behaviour of f near infinity.
Źródło:: Annales Polonici Mathematici; 1995, 62, 1; 45-74
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

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