Temat: Manifold System - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Uniform pseudo-orbit tracing property for homeomorphisms and continuous mappings
Autorzy:: Kulczycki, Marcin
Powiązania:: https://bibliotekanauki.pl/articles/1207919.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: pseudo-orbit tracing property
discrete dynamical system on manifold
orbit stability
Opis:: We prove that for every nonempty compact manifold of nonzero dimension no self-homeomorphism and no continuous self-mapping has the uniform pseudo-orbit tracing property. Several relevant counterexamples for recently studied hypotheses are indicated.
Źródło:: Annales Polonici Mathematici; 2000, 75, 1; 1-6
0066-2216
Pojawia się w:: Annales Polonici Mathematici
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Knot manifolds with isomorphic spines
Autorzy:: Cavicchioli, Alberto
Hegenbarth, Friedrich
Powiązania:: https://bibliotekanauki.pl/articles/1208491.pdf
Data publikacji:: 1994
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: 3-manifold
spine
group presentation
Heegaard diagram
knot
knot group
knot manifold
peripheral system
Opis:: We study the relation between the concept of spine and the representation of orientable bordered 3-manifolds by Heegaard diagrams. As a consequence, we show that composing invertible non-amphicheiral knots yields examples of topologically different knot manifolds with isomorphic spines. These results are related to some questions listed in [9], [11] and recover the main theorem of [10] as a corollary. Finally, an application concerning knot manifolds of composite knots with h prime factors completes the paper.
Źródło:: Fundamenta Mathematicae; 1994, 145, 1; 79-89
0016-2736
Pojawia się w:: Fundamenta Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Smoothness of unordered curves in two-dimensional strongly competitive systems
Autorzy:: Mierczyński, Janusz
Powiązania:: https://bibliotekanauki.pl/articles/1338935.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: strongly competitive system of ordinary differential equations
invariant manifold
d-curve
Lotka-Volterra system
Opis:: It is known that in two-dimensional systems of ODEs of the form $\dotx^i=x^if^i(x)$ with ${\partial f^i}/{\partial x^j} < 0$ (strongly competitive systems), boundaries of the basins of repulsion of equilibria consist of invariant Lipschitz curves, unordered with respect to the coordinatewise (partial) order. We prove that such curves are in fact of class $C^1$.
Źródło:: Applicationes Mathematicae; 1998-1999, 25, 4; 449-455
1233-7234
Pojawia się w:: Applicationes Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 4.

Tytuł:: Blow up, global existence and growth rate estimates in nonlinear parabolic systems
Autorzy:: Rencławowicz, Joanna
Powiązania:: https://bibliotekanauki.pl/articles/965693.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: invariant manifold
reaction-diffusion system
invariant region
global existence
blow up
Opis:: We prove Fujita-type global existence and nonexistence theorems for a system of m equations (m > 1) with different diffusion coefficients, i.e. $u_{it} - d_{i} Δu_{i} = \prod_{k=1}^m u_{k}^{p_k^i}, i=1,...,m, x ∈ ℝ^{N}, t > 0,$ with nonnegative, bounded, continuous initial values and $p_{k}^{i} ≥ 0$, $i,k = 1,...,m$, $d_i > 0$, $i = 1,...,m$. For solutions which blow up at $t = T <≤ ∞$, we derive the following bounds on the blow up rate: $u_i(x,t) ≤ C(T - t)^{-α_{i}}$ with C > 0 and $α_i$ defined in terms of $p_k^i$.
Źródło:: Colloquium Mathematicum; 2000, 86, 1; 43-66
0010-1354
Pojawia się w:: Colloquium Mathematicum
Dostawca treści:: Biblioteka Nauki

Artykuł

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