𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Topological entropy and Arnold complexity for two-dimensional mappings

✍ Scribed by N Abarenkova; J.-Ch Anglès d'Auriac; S Boukraa; S Hassani; J.-M Maillard

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
82 KB
Volume
262
Category
Article
ISSN
0375-9601

No coin nor oath required. For personal study only.

✦ Synopsis

To test a possible relation between topological entropy and Arnold complexity, and to provide a nontrivial examples of rational dynamical zeta functions, we introduce a two-parameter family of discrete birational mappings of two complex variables. We conjecture rational expressions with integer coefficients for the number of fixed points and degree generating functions. We then deduce equal algebraic values for the complexity growth and for the exponential of the topological entropy. We also explain a semi-numerical method which supports these conjectures and localizes the integrable cases. We briefly discuss the adaptation of these results to the analysis of the same birational mapping seen as a mapping of two real variables.

📜 SIMILAR VOLUMES

AN ENTROPY VARIABLE FORMULATION AND APPL
AN ENTROPY VARIABLE FORMULATION AND APPLICATIONS FOR THE TWO-DIMENSIONAL SHALLOW WATER EQUATIONS
✍ S. W. BOVA; G. F. CAREY 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 1015 KB

A new symmetric formulation of the two-dimensional shallow water equations and a streamline upwind Petrov-Galerkm (SUPG) scheme are developed and tested. The symmetric formulation is constructed by means of a transformation of dependent variables derived fkom the relation for the total energy of the

Sample complexity reduction for two-dime
Sample complexity reduction for two-dimensional electrophoresis using solution isoelectric focusing prefractionation
✍ Matthew R. Richardson; Sean Liu; Heather N. Ringham; Victor Chan; Frank A. Witzm 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 398 KB 👁 1 views

## Abstract Despite its excellent resolving power, 2‐DE is of limited use when analyzing cellular proteomes, especially in differential expression studies. Frequently, fewer than 2000 protein spots are detected on a single 2‐D gel (a fraction of the total proteome) regardless of the gel platform, s

A Two-Dimensional Peptide Gel Electropho
A Two-Dimensional Peptide Gel Electrophoresis System for Phosphopeptide Mapping and Amino Acid Sequencing
✍ Andrea Gatti; Jolinda A. Traugh 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 133 KB

A novel two-dimensional electrophoresis system to be carried out on polyacrylamide gels under nondenaturing conditions was developed to efficiently fractionate the peptides resulting from endoproteinase digestion of 32 P-labeled proteins. In particular, nondenaturing gel isoelectric focusing was com