Paper Abstract and Keywords |
Presentation |
2021-12-17 14:55
PSO-based Bifurcation Point Detection of Discrete-Time Dynamical System with Numerical Differentiation Takashi Kawashita, Haruna Matsushita (kagawa Univ.), Hiroaki Kurokawa (Tokyo Univ. of Technology), Takuji Kousaka (Chukyo Univ.) NLP2021-52 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In dynamical systems, it is important to analyze bifurcation phenomena, and Particle Swarm Optimization(PSO)-based bifurcation point detection method, which does not require any gradient information and any appropriate initial value, was proposed. However, its objective function for detecting bifurcation points includes Jacobian matrix, and its partial differential are calculated by hand. Therefore, we propose to calculate the partial differential with a numerical differential. By using the numerical differential, instead of allowing for errors in the derivation, we can easily calculate the partial differential without depending on specific programming languages. Computer simulation results shows that the method using numerical differential can detect bifurcation points with the equivalent accuracy as that using formula differential. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Bifurcation point detection / Discrete-time dynamical systems / Particle Swarm Optimization (PSO) / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 121, no. 307, NLP2021-52, pp. 44-47, Dec. 2021. |
Paper # |
NLP2021-52 |
Date of Issue |
2021-12-10 (NLP) |
ISSN |
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) |
Download PDF |
NLP2021-52 |
Conference Information |
Committee |
NLP |
Conference Date |
2021-12-17 - 2021-12-18 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
J:COM Horuto Hall OITA |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
|
Paper Information |
Registration To |
NLP |
Conference Code |
2021-12-NLP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
PSO-based Bifurcation Point Detection of Discrete-Time Dynamical System with Numerical Differentiation |
Sub Title (in English) |
|
Keyword(1) |
Bifurcation point detection |
Keyword(2) |
Discrete-time dynamical systems |
Keyword(3) |
Particle Swarm Optimization (PSO) |
Keyword(4) |
|
Keyword(5) |
|
Keyword(6) |
|
Keyword(7) |
|
Keyword(8) |
|
1st Author's Name |
Takashi Kawashita |
1st Author's Affiliation |
Kagawa University (kagawa Univ.) |
2nd Author's Name |
Haruna Matsushita |
2nd Author's Affiliation |
Kagawa University (kagawa Univ.) |
3rd Author's Name |
Hiroaki Kurokawa |
3rd Author's Affiliation |
Tokyo University of Technology (Tokyo Univ. of Technology) |
4th Author's Name |
Takuji Kousaka |
4th Author's Affiliation |
Chukyo University (Chukyo Univ.) |
5th Author's Name |
|
5th Author's Affiliation |
() |
6th Author's Name |
|
6th Author's Affiliation |
() |
7th Author's Name |
|
7th Author's Affiliation |
() |
8th Author's Name |
|
8th Author's Affiliation |
() |
9th Author's Name |
|
9th Author's Affiliation |
() |
10th Author's Name |
|
10th Author's Affiliation |
() |
11th Author's Name |
|
11th Author's Affiliation |
() |
12th Author's Name |
|
12th Author's Affiliation |
() |
13th Author's Name |
|
13th Author's Affiliation |
() |
14th Author's Name |
|
14th Author's Affiliation |
() |
15th Author's Name |
|
15th Author's Affiliation |
() |
16th Author's Name |
|
16th Author's Affiliation |
() |
17th Author's Name |
|
17th Author's Affiliation |
() |
18th Author's Name |
|
18th Author's Affiliation |
() |
19th Author's Name |
|
19th Author's Affiliation |
() |
20th Author's Name |
|
20th Author's Affiliation |
() |
Speaker |
Author-1 |
Date Time |
2021-12-17 14:55:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2021-52 |
Volume (vol) |
vol.121 |
Number (no) |
no.307 |
Page |
pp.44-47 |
#Pages |
4 |
Date of Issue |
2021-12-10 (NLP) |
|