p-adic dynamic systems

被引：35

作者：

Albeverio, S ^{[1
]}

Khrennikov, A

Tirozzi, B

De Smedt, S

机构：

[1] Ruhr Univ Bochum, Inst Math, D-44780 Bochum, Germany

[2] Essen Bochum Dusseldorf, Dusseldorf, Germany

[3] BiBoS Res Ctr, D-33615 Bielefeld, Germany

[4] CERFIM, Locarno, Switzerland

[5] Univ Vaxjo, Dept Math, S-35195 Vaxjo, Sweden

[6] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy

[7] Free Univ Brussels, Fac Toegepaste Wetenschappen, B-1050 Brussels, Belgium

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 1998年 / 114卷 / 03期

关键词：

Prime Number; Periodic Point; Siegel Disk; Cyclic Attractor; Invariant Sphere;

D O I：

10.1007/BF02575441

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Dynamic systems in non-Archimedean number fields (i.e., fields with non-Archimedean valuations) are studied. Results are obtained for the fields of p-adic numbers and complex p-adic numbers. Simple p-adic dynamic systems have a very rich structure-attractors, Siegel disks, cycles, and a new structure called a "fuzzy cycle." The prime number p plays the role of a parameter of the p-adic dynamic system. Changing p radically changes the behavior of the system: attractors may become the centers of Siegel disks, and vice versa, and cycles of different lengths may appear or disappear.

引用

页码：276 / 287

页数：12

共 24 条

[1] p-adic Hilbert space representation of quantum systems with an infinite number of degrees of freedom
Albeverio, S
Khrennikov, A
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1996, 10 (13-14): : 1665 - 1673
[2] Representations of the Weyl group in spaces of square integrable functions with respect to p-adic valued Gaussian distributions
Albeverio, S
Khrennikov, A
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1996, 29 (17): : 5515 - 5527
[3] ALBEVERIO S, 1997, P ADIC NEURAL NETWOR
[4] [Anonymous], 1992, Chaos and Fractals
[5] [Anonymous], 1994, P ADIC ANAL MATH PHY
[6] THE WAVE-FUNCTION OF THE UNIVERSE AND P-ADIC GRAVITY
AREFEVA, IY
DRAGOVICH, B
FRAMPTON, PH
VOLOVICH, IV
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1991, 6 (24): : 4341 - 4358
[7] DESMEDT S, IN PRESS MATH ED RES
[8] DRAGOVIC B, 1995, P 3 A FRIEDM INT SEM
[9] ADELIC HARMONIC-OSCILLATOR
DRAGOVICH, B
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1995, 10 (16): : 2349 - 2365
[10] ESCASSUT A, 1995, ANAL ELEMENTS P ADIC

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