Paper Abstract and Keywords |
Presentation |
2014-12-03 14:50
Robust synchronization analysis of oscillator circuits by a quadratic phase model Wataru Kurebayashi, Sho Shirasaka, Hiroya Nakao (Tokyo Tech.) NLP2014-103 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In analyzing synchronization dynamics of self-sustained oscillators,
a simple one-dimensional model, called a phase model, has played an important role.
Recently, we proposed a generalized phase model that robustly works even when the oscillator receives strong inputs.
However, it has a drawback that detailed response properties of the oscillator, which can be significantly laborious to compute in some cases, are necessary.
In this paper, we propose a quadratic phase model, i.e., a quadratic approximation to the generalized phase model,
whose response properties can be easily computed.
In addition, we propose an efficient numerical method for computing the response properties of the quadratic phase model.
We illustrate the validity of the proposed numerical method and the usefulness of the quadratic phase model in synchronization analysis
using a modified Stuart-Landau oscillator as an example. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
oscillators / phase reduction / synchronization / entrainment / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 114, no. 348, NLP2014-103, pp. 23-27, Dec. 2014. |
Paper # |
NLP2014-103 |
Date of Issue |
2014-11-26 (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) |
Download PDF |
NLP2014-103 |
Conference Information |
Committee |
NLP |
Conference Date |
2014-12-03 - 2014-12-04 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kyoto Univ. Tokyo Office |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
|
Paper Information |
Registration To |
NLP |
Conference Code |
2014-12-NLP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Robust synchronization analysis of oscillator circuits by a quadratic phase model |
Sub Title (in English) |
|
Keyword(1) |
oscillators |
Keyword(2) |
phase reduction |
Keyword(3) |
synchronization |
Keyword(4) |
entrainment |
Keyword(5) |
|
Keyword(6) |
|
Keyword(7) |
|
Keyword(8) |
|
1st Author's Name |
Wataru Kurebayashi |
1st Author's Affiliation |
Tokyo Institute of Technology (Tokyo Tech.) |
2nd Author's Name |
Sho Shirasaka |
2nd Author's Affiliation |
Tokyo Institute of Technology (Tokyo Tech.) |
3rd Author's Name |
Hiroya Nakao |
3rd Author's Affiliation |
Tokyo Institute of Technology (Tokyo Tech.) |
4th Author's Name |
|
4th Author's Affiliation |
() |
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 |
2014-12-03 14:50:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2014-103 |
Volume (vol) |
vol.114 |
Number (no) |
no.348 |
Page |
pp.23-27 |
#Pages |
5 |
Date of Issue |
2014-11-26 (NLP) |
|