Numerical detection of unstable periodic orbits in continuous-time dynamical systems with chaotic behaviors

Saiki, Y.

doi:10.5194/npg-14-615-2007

Articles | Volume 14, issue 5

https://doi.org/10.5194/npg-14-615-2007

© Author(s) 2007. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

Special issue:

Nonlinear waves and turbulence in space

https://doi.org/10.5194/npg-14-615-2007

© Author(s) 2007. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

Articles | Volume 14, issue 5

14 Sep 2007

| 14 Sep 2007

Numerical detection of unstable periodic orbits in continuous-time dynamical systems with chaotic behaviors

Y. Saiki

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Total article views: 2,873 (including HTML, PDF, and XML)

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Views and downloads (calculated since 01 Feb 2013)

Month	HTML	PDF	XML	Total
Feb 2013	1	13	1	15
Mar 2013	2	25	1	28
Apr 2013	1	29	0	30
May 2013	2	16	0	18
Jun 2013	3	15	1	19
Jul 2013	4	26	2	32
Aug 2013	9	12	0	21
Sep 2013	3	5	0	8
Oct 2013	5	8	1	14
Nov 2013	2	17	1	20
Dec 2013	2	19	0	21
Jan 2014	4	17	0	21
Feb 2014	5	15	1	21
Mar 2014	16	19	0	35
Apr 2014	2	7	0	9
May 2014	7	7	1	15
Jun 2014	3	24	4	31
Jul 2014	1	17	0	18
Aug 2014	4	20	2	26
Sep 2014	2	6	0	8
Oct 2014	2	15	1	18
Nov 2014	7	17	1	25
Dec 2014	2	22	1	25
Jan 2015	8	0	8
Feb 2015	6	0	6
Mar 2015	7	3	1	11
Apr 2015	12	2	0	14
May 2015	4	8	1	13
Jun 2015	24	4	0	28
Jul 2015	17	9	1	27
Aug 2015	4	8	0	12
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Jan 2017	6	2	0	8
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Apr 2017	8	9	0	17
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Nov 2017	6	4	2	12
Dec 2017	9	8	5	22
Jan 2018	21	14	9	44
Feb 2018	12	7	3	22
Mar 2018	12	12	3	27
Apr 2018	15	10	5	30
May 2018	15	10	3	28
Jun 2018	10	9	4	23
Jul 2018	13	9	5	27
Aug 2018	20	9	4	33
Sep 2018	12	9	3	24
Oct 2018	16	13	5	34
Nov 2018	10	10	3	23
Dec 2018	7	9	2	18
Jan 2019	9	13	2	24
Feb 2019	9	15	2	26
Mar 2019	8	12	1	21
Apr 2019	12	13	4	29
May 2019	8	7	2	17
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Aug 2019	4	3	0	7
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Oct 2019	1	12	0	13
Nov 2019	9	2	0	11
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Jan 2020	6	6	3	15
Feb 2020	3	6	0	9
Mar 2020	3	7	2	12
Apr 2020	5	8	0	13
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Jun 2020	12	7	1	20
Jul 2020	27	19	8	54
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Sep 2020	14	5	1	20
Oct 2020	9	12	1	22
Nov 2020	3	6	0	9
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Oct 2021	3	21	0	24
Nov 2021	12	9	0	21
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Jan 2022	13	5	0	18
Feb 2022	5	11	2	18
Mar 2022	5	7	0	12
Apr 2022	4	9	0	13
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Jul 2022	3	6	0	9
Aug 2022	10	4	0	14
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Feb 2023	10	3	0	13
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Apr 2023	8	4	1	13
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Apr 2024	13	5	4	22
May 2024	13	32	2	47
Jun 2024	43	24	2	69
Jul 2024	19	5	0	24
Aug 2024	32	3	4	39
Sep 2024	14	1	3	18
Oct 2024	15	4	0	19
Nov 2024	5	3	1	9
Dec 2024	3	7	1	11
Jan 2025	8	5	0	13
Feb 2025	19	15	3	37
Mar 2025	21	5	4	30
Apr 2025	24	5	0	29
May 2025	18	9	1	28
Jun 2025	32	12	0	44
Jul 2025	28	9	0	37
Aug 2025	24	8	0	32
Sep 2025	14	6	0	20
Oct 2025	25	18	2	45
Nov 2025	28	16	3	47
Dec 2025	22	14	1	37
Jan 2026	33	27	5	65
Feb 2026	12	10	4	26

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Month	HTML	PDF	XML	Total
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Mar 2013	2	25	1	28
Apr 2013	1	29	0	30
May 2013	2	16	0	18
Jun 2013	3	15	1	19
Jul 2013	4	26	2	32
Aug 2013	9	12	0	21
Sep 2013	3	5	0	8
Oct 2013	5	8	1	14
Nov 2013	2	17	1	20
Dec 2013	2	19	0	21
Jan 2014	4	17	0	21
Feb 2014	5	15	1	21
Mar 2014	16	19	0	35
Apr 2014	2	7	0	9
May 2014	7	7	1	15
Jun 2014	3	24	4	31
Jul 2014	1	17	0	18
Aug 2014	4	20	2	26
Sep 2014	2	6	0	8
Oct 2014	2	15	1	18
Nov 2014	7	17	1	25
Dec 2014	2	22	1	25
Jan 2015	8	0	8
Feb 2015	6	0	6
Mar 2015	7	3	1	11
Apr 2015	12	2	0	14
May 2015	4	8	1	13
Jun 2015	24	4	0	28
Jul 2015	17	9	1	27
Aug 2015	4	8	0	12
Sep 2015	1	2	0	3
Oct 2015	10	3	1	14
Nov 2015	8	2	0	10
Dec 2015	3	3	0	6
Jan 2016	9	5	0	14
Feb 2016	4	4	1	9
Mar 2016	9	8	1	18
Apr 2016	7	4	0	11
May 2016	4	2	0	6
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Jun 2017	10	0	10
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Jan 2018	21	14	9	44
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Oct 2018	16	13	5	34
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Jan 2019	9	13	2	24
Feb 2019	9	15	2	26
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Oct 2019	1	12	0	13
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Jul 2020	27	19	8	54
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Feb 2022	5	11	2	18
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Apr 2022	4	9	0	13
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Jun 2022	6	3	1	10
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Aug 2022	10	4	0	14
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Jan 2023	5	12	0	17
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Mar 2023	9	4	0	13
Apr 2023	8	4	1	13
May 2023	9	9	1	19
Jun 2023	3	5	0	8
Jul 2023	5	6	0	11
Aug 2023	2	6	1	9
Sep 2023	9	6	1	16
Oct 2023	6	8	0	14
Nov 2023	4	1	0	5
Dec 2023	9	4	1	14
Jan 2024	3	12	0	15
Feb 2024	6	6	1	13
Mar 2024	7	9	0	16
Apr 2024	13	5	4	22
May 2024	13	32	2	47
Jun 2024	43	24	2	69
Jul 2024	19	5	0	24
Aug 2024	32	3	4	39
Sep 2024	14	1	3	18
Oct 2024	15	4	0	19
Nov 2024	5	3	1	9
Dec 2024	3	7	1	11
Jan 2025	8	5	0	13
Feb 2025	19	15	3	37
Mar 2025	21	5	4	30
Apr 2025	24	5	0	29
May 2025	18	9	1	28
Jun 2025	32	12	0	44
Jul 2025	28	9	0	37
Aug 2025	24	8	0	32
Sep 2025	14	6	0	20
Oct 2025	25	18	2	45
Nov 2025	28	16	3	47
Dec 2025	22	14	1	37
Jan 2026	33	27	5	65
Feb 2026	12	10	4	26

Latest update: 13 Feb 2026