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A Symplectic View of Stability for Traveling Waves in Activator-Inhibitor Systems
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| 자료유형 | E-Book |
|---|---|
| 개인저자 | Cornwell, Paul. |
| 단체저자명 | The University of North Carolina at Chapel Hill. Mathematics. |
| 서명/저자사항 | A Symplectic View of Stability for Traveling Waves in Activator-Inhibitor Systems. |
| 발행사항 | [S.l.] : The University of North Carolina at Chapel Hill., 2018 |
| 발행사항 | Ann Arbor : ProQuest Dissertations & Theses, 2018 |
| 형태사항 | 120 p. |
| 소장본 주기 | School code: 0153. |
| ISBN | 9780438033467 |
| 일반주기 |
Source: Dissertation Abstracts International, Volume: 79-10(E), Section: B.
Adviser: Christopher KRT Jones. |
| 요약 | 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 |
| 요약 | 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 |
| 요약 | 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 |
| 일반주제명 | Mathematics. Applied mathematics. |
| 언어 | 영어 |
| 기본자료 저록 | Dissertation Abstracts International79-10B(E). Dissertation Abstract International |
| 대출바로가기 | http://www.riss.kr/pdu/ddodLink.do?id=T14996880 |
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| No. | 등록번호 | 청구기호 | 소장처 | 도서상태 | 반납예정일 | 예약 | 서비스 | 매체정보 |
|---|---|---|---|---|---|---|---|---|
| 1 | WE00029015 | 510 | 가야대학교// | 대출가능 |
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