Steady states of FitzHugh-Nagumo system with non-diffusive activator and diffusive inhibitor
In this paper, we consider a diffusion equation coupled to an ordinary differential equation with FitzHugh-Nagumo type nonlinearity. We construct continuous spatially heterogeneous steady states near, as well as far from, constant steady states and show that they are all unstable. In addition, we co...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
21 June 2019
|
| In: |
Tōhoku mathematical journal
Year: 2019, Jahrgang: 71, Heft: 2, Pages: 243-279 |
| ISSN: | 1881-2015 |
| DOI: | 10.2748/tmj/1561082598 |
| Online-Zugang: | Verlag, Volltext: https://doi.org/10.2748/tmj/1561082598 Verlag, Volltext: https://projecteuclid.org/euclid.tmj/1561082598 
|
| Verfasserangaben: | Ying Li, Anna Marciniak-Czochra, Izumi Takagi, and Boying Wu |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 167209741X | ||
| 003 | DE-627 | ||
| 005 | 20220816213946.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 190826s2019 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.2748/tmj/1561082598 |2 doi | |
| 035 | |a (DE-627)167209741X | ||
| 035 | |a (DE-599)KXP167209741X | ||
| 035 | |a (OCoLC)1341238545 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Li, Ying |e VerfasserIn |0 (DE-588)1137271043 |0 (DE-627)894262416 |0 (DE-576)491204973 |4 aut | |
| 245 | 1 | 0 | |a Steady states of FitzHugh-Nagumo system with non-diffusive activator and diffusive inhibitor |c Ying Li, Anna Marciniak-Czochra, Izumi Takagi, and Boying Wu |
| 264 | 1 | |c 21 June 2019 | |
| 300 | |a 37 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 26.08.2019 | ||
| 520 | |a In this paper, we consider a diffusion equation coupled to an ordinary differential equation with FitzHugh-Nagumo type nonlinearity. We construct continuous spatially heterogeneous steady states near, as well as far from, constant steady states and show that they are all unstable. In addition, we construct various types of steady states with jump discontinuities and prove that they are stable in a weak sense defined by Weinberger.The results are quite different from those for classical reaction-diffusion systems where all species diffuse. | ||
| 650 | 4 | |a bifurcation analysis | |
| 650 | 4 | |a FitzHugh-Nagumo model | |
| 650 | 4 | |a global behaviour of solution branches | |
| 650 | 4 | |a instability | |
| 650 | 4 | |a pattern formation | |
| 650 | 4 | |a reaction-diffusion-ODE system | |
| 650 | 4 | |a steady states | |
| 700 | 1 | |a Marciniak-Czochra, Anna |d 1974- |e VerfasserIn |0 (DE-588)1044379626 |0 (DE-627)771928432 |0 (DE-576)397031505 |4 aut | |
| 700 | 1 | |a Takagi, Izumi |e VerfasserIn |0 (DE-588)1137271175 |0 (DE-627)894262696 |0 (DE-576)409770094 |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Tōhoku mathematical journal |d Sendai : Univ., 1911 |g 71(2019), 2, Seite 243-279 |h Online-Ressource |w (DE-627)494323728 |w (DE-600)2196271-6 |w (DE-576)311099769 |x 1881-2015 |7 nnas |a Steady states of FitzHugh-Nagumo system with non-diffusive activator and diffusive inhibitor |
| 773 | 1 | 8 | |g volume:71 |g year:2019 |g number:2 |g pages:243-279 |g extent:37 |a Steady states of FitzHugh-Nagumo system with non-diffusive activator and diffusive inhibitor |
| 856 | 4 | 0 | |u https://doi.org/10.2748/tmj/1561082598 |x Verlag |x Resolving-System |3 Volltext |
| 856 | 4 | 0 | |u https://projecteuclid.org/euclid.tmj/1561082598 |x Verlag |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20190826 | ||
| 993 | |a Article | ||
| 994 | |a 2019 | ||
| 998 | |g 1044379626 |a Marciniak-Czochra, Anna |m 1044379626:Marciniak-Czochra, Anna |d 110000 |d 110200 |d 110000 |d 110400 |e 110000PM1044379626 |e 110200PM1044379626 |e 110000PM1044379626 |e 110400PM1044379626 |k 0/110000/ |k 1/110000/110200/ |k 0/110000/ |k 1/110000/110400/ |p 2 | ||
| 999 | |a KXP-PPN167209741X |e 3508837513 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"relHost":[{"disp":"Steady states of FitzHugh-Nagumo system with non-diffusive activator and diffusive inhibitorTōhoku mathematical journal","corporate":[{"role":"isb","display":"Tōhoku Daigaku"}],"language":["eng"],"part":{"extent":"37","volume":"71","year":"2019","text":"71(2019), 2, Seite 243-279","pages":"243-279","issue":"2"},"origin":[{"dateIssuedDisp":"1911-","publisherPlace":"Sendai","dateIssuedKey":"1911","publisher":"Univ."}],"note":["Gesehen am 02.08.2017"],"type":{"bibl":"periodical","media":"Online-Ressource"},"title":[{"title":"Tōhoku mathematical journal","title_sort":"Tōhoku mathematical journal"}],"recId":"494323728","pubHistory":["1.Ser. 1.1911/12 - 49.1942/43,2(Febr.); 2.Ser. 1.1949/50,März -"],"physDesc":[{"extent":"Online-Ressource"}],"name":{"displayForm":["Mathematical Institute of Tohoku University"]},"id":{"zdb":["2196271-6"],"issn":["1881-2015"],"eki":["494323728"]}}],"id":{"doi":["10.2748/tmj/1561082598"],"eki":["167209741X"]},"name":{"displayForm":["Ying Li, Anna Marciniak-Czochra, Izumi Takagi, and Boying Wu"]},"physDesc":[{"extent":"37 S."}],"recId":"167209741X","note":["Gesehen am 26.08.2019"],"title":[{"title":"Steady states of FitzHugh-Nagumo system with non-diffusive activator and diffusive inhibitor","title_sort":"Steady states of FitzHugh-Nagumo system with non-diffusive activator and diffusive inhibitor"}],"origin":[{"dateIssuedDisp":"21 June 2019","dateIssuedKey":"2019"}],"type":{"media":"Online-Ressource","bibl":"article-journal"},"language":["eng"],"person":[{"role":"aut","given":"Ying","family":"Li","display":"Li, Ying"},{"given":"Anna","role":"aut","display":"Marciniak-Czochra, Anna","family":"Marciniak-Czochra"},{"role":"aut","given":"Izumi","display":"Takagi, Izumi","family":"Takagi"}]} | ||
| SRT | |a LIYINGMARCSTEADYSTAT2120 | ||