Nonlinear instability and sensitivity of a theoretical grassland ecosystem to finite-amplitude perturbations

Mu, M.; Wang, B.

doi:10.5194/npg-14-409-2007

Articles | Volume 14, issue 4

https://doi.org/10.5194/npg-14-409-2007

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

https://doi.org/10.5194/npg-14-409-2007

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

Articles | Volume 14, issue 4

19 Jul 2007

| 19 Jul 2007

Nonlinear instability and sensitivity of a theoretical grassland ecosystem to finite-amplitude perturbations

M. Mu and B. Wang

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Total article views: 2,400 (including HTML, PDF, and XML)

HTML	PDF	XML	Total	BibTeX	EndNote
1,266	993	141	2,400	187	208

HTML: 1,266
PDF: 993
XML: 141
Total: 2,400
BibTeX: 187
EndNote: 208

Views and downloads (calculated since 01 Feb 2013)

Month	HTML	PDF	XML	Total
Feb 2013	5	6	1	12
Mar 2013	1	5	0	6
Apr 2013	4	7	0	11
May 2013	2	10	0	12
Jun 2013	4	11	0	15
Jul 2013	1	14	0	15
Aug 2013	10	5	0	15
Sep 2013	1	11	0	12
Oct 2013	4	18	0	22
Nov 2013	3	12	0	15
Dec 2013	8	0	8
Jan 2014	1	8	0	9
Feb 2014	4	11	1	16
Mar 2014	7	9	0	16
Apr 2014	1	12	0	13
May 2014	5	6	1	12
Jun 2014	4	9	2	15
Jul 2014	7	14	0	21
Aug 2014	6	10	1	17
Sep 2014	5	11	0	16
Oct 2014	1	9	0	10
Nov 2014	5	8	1	14
Dec 2014	4	7	1	12
Jan 2015	1	9	0	10
Feb 2015	6	0	6
Mar 2015	9	1	0	10
Apr 2015	10	1	0	11
May 2015	7	2	0	9
Jun 2015	26	3	0	29
Jul 2015	20	29	0	49
Aug 2015	9	39	0	48
Sep 2015	3	33	0	36
Oct 2015	14	33	0	47
Nov 2015	9	35	0	44
Dec 2015	4	35	0	39
Jan 2016	11	34	0	45
Feb 2016	6	2	1	9
Mar 2016	15	10	1	26
Apr 2016	8	3	0	11
May 2016	5	2	0	7
Jun 2016	4	1	0	5
Jul 2016	4	1	5
Aug 2016	5	2	0	7
Sep 2016	7	3	0	10
Oct 2016	3	2	0	5
Nov 2016	2	0	2
Dec 2016	4	1	0	5
Jan 2017	2	0	2
Feb 2017	2	1	0	3
Mar 2017	6	0	6
Apr 2017	10	3	0	13
May 2017	12	4	0	16
Jun 2017	10	1	0	11
Jul 2017	10	3	0	13
Aug 2017	3	6	2	11
Sep 2017	6	4	1	11
Oct 2017	4	4	0	8
Nov 2017	3	3	0	6
Dec 2017	13	6	4	23
Jan 2018	17	10	8	35
Feb 2018	11	7	2	20
Mar 2018	12	4	3	19
Apr 2018	14	5	3	22
May 2018	12	8	3	23
Jun 2018	12	5	3	20
Jul 2018	16	7	7	30
Aug 2018	21	7	7	35
Sep 2018	20	7	2	29
Oct 2018	22	9	5	36
Nov 2018	7	4	1	12
Dec 2018	10	4	0	14
Jan 2019	9	4	2	15
Feb 2019	16	3	3	22
Mar 2019	11	8	4	23
Apr 2019	13	7	5	25
May 2019	10	6	2	18
Jun 2019	3	7	0	10
Jul 2019	4	5	0	9
Aug 2019	5	5	0	10
Sep 2019	3	3	0	6
Oct 2019	3	4	0	7
Nov 2019	6	5	0	11
Dec 2019	3	8	0	11
Jan 2020	7	3	3	13
Feb 2020	2	3	0	5
Mar 2020	4	3	1	8
Apr 2020	5	5	0	10
May 2020	2	1	0	3
Jun 2020	12	5	0	17
Jul 2020	22	21	14	57
Aug 2020	4	4	3	11
Sep 2020	16	6	0	22
Oct 2020	11	15	1	27
Nov 2020	4	5	0	9
Dec 2020	3	4	0	7
Jan 2021	17	6	0	23
Feb 2021	5	4	0	9
Mar 2021	1	3	0	4
Apr 2021	5	4	0	9
May 2021	5	3	0	8
Jun 2021	3	3	0	6
Jul 2021	3	0	3
Aug 2021	12	1	1	14
Sep 2021	10	5	0	15
Oct 2021	6	17	0	23
Nov 2021	10	12	1	23
Dec 2021	9	3	2	14
Jan 2022	7	4	1	12
Feb 2022	2	5	1	8
Mar 2022	8	4	0	12
Apr 2022	3	4	0	7
May 2022	3	1	4
Jun 2022	3	0	3
Jul 2022	2	2	0	4
Aug 2022	7	1	1	9
Sep 2022	2	1	3
Oct 2022	7	2	1	10
Nov 2022	13	3	0	16
Dec 2022	10	1	11
Jan 2023	5	9	0	14
Feb 2023	10	3	2	15
Mar 2023	8	2	0	10
Apr 2023	4	1	0	5
May 2023	1	4	0	5
Jun 2023	3	3	1	7
Jul 2023	5	1	0	6
Aug 2023	3	4	1	8
Sep 2023	3	2	0	5
Oct 2023	4	2	0	6
Nov 2023	1	0	1
Dec 2023	5	1	0	6
Jan 2024	4	4	0	8
Feb 2024	1	0	1
Mar 2024	2	2	0	4
Apr 2024	7	2	3	12
May 2024	11	2	1	14
Jun 2024	44	3	2	49
Jul 2024	11	3	0	14
Aug 2024	42	4	7	53
Sep 2024	6	2	1	9
Oct 2024	15	12	0	27
Nov 2024	4	1	0	5
Dec 2024	4	4	0	8
Jan 2025	6	3	0	9
Feb 2025	13	3	0	16
Mar 2025	18	4	0	22
Apr 2025	6	4	0	10
May 2025	8	3	2	13
Jun 2025	26	7	0	33
Jul 2025	15	5	0	20
Aug 2025	14	5	0	19
Sep 2025	16	8	1	25
Oct 2025	23	14	2	39
Nov 2025	30	6	2	38
Dec 2025	17	13	2	32
Jan 2026	9	7	3	19

Cumulative views and downloads (calculated since 01 Feb 2013)

Month	HTML	PDF	XML	Total
Feb 2013	5	6	1	12
Mar 2013	1	5	0	6
Apr 2013	4	7	0	11
May 2013	2	10	0	12
Jun 2013	4	11	0	15
Jul 2013	1	14	0	15
Aug 2013	10	5	0	15
Sep 2013	1	11	0	12
Oct 2013	4	18	0	22
Nov 2013	3	12	0	15
Dec 2013	8	0	8
Jan 2014	1	8	0	9
Feb 2014	4	11	1	16
Mar 2014	7	9	0	16
Apr 2014	1	12	0	13
May 2014	5	6	1	12
Jun 2014	4	9	2	15
Jul 2014	7	14	0	21
Aug 2014	6	10	1	17
Sep 2014	5	11	0	16
Oct 2014	1	9	0	10
Nov 2014	5	8	1	14
Dec 2014	4	7	1	12
Jan 2015	1	9	0	10
Feb 2015	6	0	6
Mar 2015	9	1	0	10
Apr 2015	10	1	0	11
May 2015	7	2	0	9
Jun 2015	26	3	0	29
Jul 2015	20	29	0	49
Aug 2015	9	39	0	48
Sep 2015	3	33	0	36
Oct 2015	14	33	0	47
Nov 2015	9	35	0	44
Dec 2015	4	35	0	39
Jan 2016	11	34	0	45
Feb 2016	6	2	1	9
Mar 2016	15	10	1	26
Apr 2016	8	3	0	11
May 2016	5	2	0	7
Jun 2016	4	1	0	5
Jul 2016	4	1	5
Aug 2016	5	2	0	7
Sep 2016	7	3	0	10
Oct 2016	3	2	0	5
Nov 2016	2	0	2
Dec 2016	4	1	0	5
Jan 2017	2	0	2
Feb 2017	2	1	0	3
Mar 2017	6	0	6
Apr 2017	10	3	0	13
May 2017	12	4	0	16
Jun 2017	10	1	0	11
Jul 2017	10	3	0	13
Aug 2017	3	6	2	11
Sep 2017	6	4	1	11
Oct 2017	4	4	0	8
Nov 2017	3	3	0	6
Dec 2017	13	6	4	23
Jan 2018	17	10	8	35
Feb 2018	11	7	2	20
Mar 2018	12	4	3	19
Apr 2018	14	5	3	22
May 2018	12	8	3	23
Jun 2018	12	5	3	20
Jul 2018	16	7	7	30
Aug 2018	21	7	7	35
Sep 2018	20	7	2	29
Oct 2018	22	9	5	36
Nov 2018	7	4	1	12
Dec 2018	10	4	0	14
Jan 2019	9	4	2	15
Feb 2019	16	3	3	22
Mar 2019	11	8	4	23
Apr 2019	13	7	5	25
May 2019	10	6	2	18
Jun 2019	3	7	0	10
Jul 2019	4	5	0	9
Aug 2019	5	5	0	10
Sep 2019	3	3	0	6
Oct 2019	3	4	0	7
Nov 2019	6	5	0	11
Dec 2019	3	8	0	11
Jan 2020	7	3	3	13
Feb 2020	2	3	0	5
Mar 2020	4	3	1	8
Apr 2020	5	5	0	10
May 2020	2	1	0	3
Jun 2020	12	5	0	17
Jul 2020	22	21	14	57
Aug 2020	4	4	3	11
Sep 2020	16	6	0	22
Oct 2020	11	15	1	27
Nov 2020	4	5	0	9
Dec 2020	3	4	0	7
Jan 2021	17	6	0	23
Feb 2021	5	4	0	9
Mar 2021	1	3	0	4
Apr 2021	5	4	0	9
May 2021	5	3	0	8
Jun 2021	3	3	0	6
Jul 2021	3	0	3
Aug 2021	12	1	1	14
Sep 2021	10	5	0	15
Oct 2021	6	17	0	23
Nov 2021	10	12	1	23
Dec 2021	9	3	2	14
Jan 2022	7	4	1	12
Feb 2022	2	5	1	8
Mar 2022	8	4	0	12
Apr 2022	3	4	0	7
May 2022	3	1	4
Jun 2022	3	0	3
Jul 2022	2	2	0	4
Aug 2022	7	1	1	9
Sep 2022	2	1	3
Oct 2022	7	2	1	10
Nov 2022	13	3	0	16
Dec 2022	10	1	11
Jan 2023	5	9	0	14
Feb 2023	10	3	2	15
Mar 2023	8	2	0	10
Apr 2023	4	1	0	5
May 2023	1	4	0	5
Jun 2023	3	3	1	7
Jul 2023	5	1	0	6
Aug 2023	3	4	1	8
Sep 2023	3	2	0	5
Oct 2023	4	2	0	6
Nov 2023	1	0	1
Dec 2023	5	1	0	6
Jan 2024	4	4	0	8
Feb 2024	1	0	1
Mar 2024	2	2	0	4
Apr 2024	7	2	3	12
May 2024	11	2	1	14
Jun 2024	44	3	2	49
Jul 2024	11	3	0	14
Aug 2024	42	4	7	53
Sep 2024	6	2	1	9
Oct 2024	15	12	0	27
Nov 2024	4	1	0	5
Dec 2024	4	4	0	8
Jan 2025	6	3	0	9
Feb 2025	13	3	0	16
Mar 2025	18	4	0	22
Apr 2025	6	4	0	10
May 2025	8	3	2	13
Jun 2025	26	7	0	33
Jul 2025	15	5	0	20
Aug 2025	14	5	0	19
Sep 2025	16	8	1	25
Oct 2025	23	14	2	39
Nov 2025	30	6	2	38
Dec 2025	17	13	2	32
Jan 2026	9	7	3	19

Latest update: 18 Jan 2026