Existence of Nowhere Differentiable Boundaries in a Realistic Map-Reference-Cited by-同舟云学术

Existence of Nowhere Differentiable Boundaries in a Realistic Map

Published:1990-12-01 Issue:11-12 Volume:45 Page:1377-1379
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:en
Short-container-title:

Author:

Kittel A.¹,Peinke J.²,Klein M.³,Baier G.⁴,Parisi J.¹⁵,Rössler O. E.³

Affiliation:

1. Physical Institute, University of Tübingen, D-7400 Tübingen, FRG

2. Peinke Physical Institute, University of Tübingen, D-7400 Tübingen, FRG

3. Institute for Physical and Theoretical Chemistry, University of Tübingen, D-7400 Tübingen, FRG

4. Institute for Chemical Plant Physiology, University of Tübingen, D-7400 Tübingen,

5. Physical Institute, University of Bayreuth, D-8580 Bayreuth, FRG

Abstract

Abstract A generic 3-dimensional diffeomorphic map, with constant Jacobian determinant, is proposed and looked at numerically. It contains a lower-dimensional basin boundary along which a chaotic motion takes place. This boundary is nowhere differentiable in one direction. Therefore, nowhere differentiable limit sets exist generically in nature.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-1990-11-1226/pdf

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Competition of local exponents and the fractal structure of chaotic attractors;Physical Review E;1993-11-01

2. Three Types of Chaotic Attractors in 3 D Maps;Zeitschrift für Naturforschung A;1993-06-01

3. A generic mechanism determining the fractality of basin boundary structures;Physica A: Statistical Mechanics and its Applications;1992-12

4. HOW TWO COMPETING CHARACTERISTIC EXPONENTS GENERATE DIFFERENT CLASSES OF FRACTAL BOUNDARIES;International Journal of Bifurcation and Chaos;1991-09