𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Chaos in infinite dimensions: a generalization of a theorem of Sil'nikov

✍ Scribed by M. Blázquez; E. Tuma

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
891 KB
Volume
21
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A Generalization of the Riesz Representa
A Generalization of the Riesz Representation Theorem to Infinite Dimensions
✍ Yuh-Jia Lee 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 393 KB

Let C p be the collection of real-valued functions f defined on E &p such that f is uniformly continuous on bounded subsets of Then C is a complete countably normed space equipped with the family [&}& , p : p=1, 2, 3, ...] of norms. In this paper it is shown that to every bounded linear functional

Sil′nikov Bifurcations in Generic 4-Unfo
Sil′nikov Bifurcations in Generic 4-Unfoldings of a Codimension-4 Singularity
✍ S. Ibanez; J.A. Rodriguez 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 622 KB

The main aim of this paper is to prove analytically the existence of homoclinic orbits of focus-saddle type in generic unfoldings of a codimension-4 singularity whose 2 -jet in normal form is given by: \[ x_{2} \frac{\partial}{\partial x_{1}}+x_{3} \frac{\partial}{\partial x_{2}}+\left(a x_{1} x_{2

A generalization of Turán's theorem
A generalization of Turán's theorem
✍ Benny Sudakov; Tibor Szabó; H. Van Vu 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 94 KB

## Abstract In this paper, we obtain an asymptotic generalization of Turán's theorem. We prove that if all the non‐trivial eigenvalues of a __d__‐regular graph __G__ on __n__ vertices are sufficiently small, then the largest __K__~__t__~‐free subgraph of __G__ contains approximately (__t__ − 2)/(__

A generalization of Robacker's theorem
A generalization of Robacker's theorem
✍ S.K. Tipnis; L.E. Trotter Jr. 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 875 KB

Let 9 be the polyhedron given by 9 = {x E R": Nx=O, a~x~b}, where N is a totally unimodular matrix and a and 6 are any integral vectors. For x E R" let (x)' denote the vector obtained from x by changing all its negative components to zeros. Let x1, . . . , xp be the integral points in 9 and let 9+ b

A generalization of carathéodory's theor
A generalization of carathéodory's theorem
✍ Imre Bárány 📂 Article 📅 1982 🏛 Elsevier Science 🌐 English ⚖ 812 KB

The following theorem is lproved. If the sets VI, . . . , Vn+, CR" and a E fly:: conv Vi, then there exist elements ui E Vi (i = 1, . . . , n + 1) such that a E conv{o,, . . . , un+J. Thii is a generalization of Carathtidory's theorem. By applying this and similar results some open questions are ans