| LDR | | 02128nmm uu200421 4500 |
| 001 | | 000000334688 |
| 005 | | 20240805180820 |
| 008 | | 181129s2018 |||||||||||||||||c||eng d |
| 020 | |
▼a 9780438033467 |
| 035 | |
▼a (MiAaPQ)AAI10746147 |
| 035 | |
▼a (MiAaPQ)unc:17512 |
| 040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 248032 |
| 082 | 0 |
▼a 510 |
| 100 | 1 |
▼a Cornwell, Paul. |
| 245 | 12 |
▼a A Symplectic View of Stability for Traveling Waves in Activator-Inhibitor Systems. |
| 260 | |
▼a [S.l.] :
▼b The University of North Carolina at Chapel Hill.,
▼c 2018 |
| 260 | 1 |
▼a Ann Arbor :
▼b ProQuest Dissertations & Theses,
▼c 2018 |
| 300 | |
▼a 120 p. |
| 500 | |
▼a Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B. |
| 500 | |
▼a Adviser: Christopher KRT Jones. |
| 502 | 1 |
▼a Thesis (Ph.D.)--The University of North Carolina at Chapel Hill, 2018. |
| 520 | |
▼a This thesis concerns the stability of traveling pulses for reaction-diffusion equations of skew-gradient (a.k.a activator-inhibitor) type. The centerpiece of this investigation is a homotopy invariant called the Maslov index which is assigned to |
| 520 | |
▼a In this work, we focus on two aspects of the Maslov index as a tool in the stability analysis of nonlinear waves. First, we show why and how the Maslov index is useful for traveling pulses in skew-gradient systems, for which the associated linea |
| 520 | |
▼a Second, we address the issue of calculating the Maslov index, which is intimately tied to its utility. The key insight is that the relevant curve of Lagrangian planes is everywhere tangent to an invariant manifold for the traveling wave ODE. The |
| 590 | |
▼a School code: 0153. |
| 650 | 4 |
▼a Mathematics. |
| 650 | 4 |
▼a Applied mathematics. |
| 690 | |
▼a 0405 |
| 690 | |
▼a 0364 |
| 710 | 20 |
▼a The University of North Carolina at Chapel Hill.
▼b Mathematics. |
| 773 | 0 |
▼t Dissertation Abstracts International
▼g 79-10B(E). |
| 773 | |
▼t Dissertation Abstract International |
| 790 | |
▼a 0153 |
| 791 | |
▼a Ph.D. |
| 792 | |
▼a 2018 |
| 793 | |
▼a English |
| 856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T14996880
▼n KERIS |
| 980 | |
▼a 201812
▼f 2019 |
| 990 | |
▼a 관리자 |