Paper Abstract and Keywords |
Presentation |
2016-09-14 10:30
Derivation of equations of motion and numerical analysis of spider linkages Nozomi Akashi, Syuji Miyazaki (Kyoto Univ) NLP2016-44 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Motion of a triple linkage as a physical realistic model of the Anosov system is
given by a chaotic trajectory on a Schwarz P surface.
Phase space of the triple linkage is spanned by three position coordinates and
three conjugate momenum coordinates.
Configuration space is three dimensional, in which the momentum space
is projected out onto the position space.
When this configuration space is divided into unit cubic lattices,
Schwarz P surface of genus 3 has six common circles on the six surface of the unit cube,
and its curvature is always negative, which is periodically arranged
in the three-dimensional configuration space.
A trajectory is irregularily covered on a single Schwarz P surface, and goes to
one of the six neighboring surfaces across the common circle with the unit cube,
This difusion process is repeated in an irregular manner along three directions.
Averages and distributions of dwell times in a unit cube as well as
parameter dependences of dissusion coefficients are numerically obtained. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Anosov system / triple linkage / Schwartz P surface / diffusion process / diffusion coefficient / / / |
Reference Info. |
IEICE Tech. Rep., vol. 116, no. 215, NLP2016-44, pp. 1-4, Sept. 2016. |
Paper # |
NLP2016-44 |
Date of Issue |
2016-09-07 (NLP) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
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NLP2016-44 |
Conference Information |
Committee |
NLP |
Conference Date |
2016-09-14 - 2016-09-15 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Konan Univ. |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
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Paper Information |
Registration To |
NLP |
Conference Code |
2016-09-NLP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Derivation of equations of motion and numerical analysis of spider linkages |
Sub Title (in English) |
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Keyword(1) |
Anosov system |
Keyword(2) |
triple linkage |
Keyword(3) |
Schwartz P surface |
Keyword(4) |
diffusion process |
Keyword(5) |
diffusion coefficient |
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1st Author's Name |
Nozomi Akashi |
1st Author's Affiliation |
Kyoto University (Kyoto Univ) |
2nd Author's Name |
Syuji Miyazaki |
2nd Author's Affiliation |
Kyoto University (Kyoto Univ) |
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Speaker |
Author-1 |
Date Time |
2016-09-14 10:30:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2016-44 |
Volume (vol) |
vol.116 |
Number (no) |
no.215 |
Page |
pp.1-4 |
#Pages |
4 |
Date of Issue |
2016-09-07 (NLP) |
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