Spiralling invariant manifolds

Richard Moeckel

doi:10.1016/0022-0396(87)90031-3

Spiralling invariant manifolds

Richard Moeckel

School of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

A definition of the concept of a multidimensional spiralling manifold is studied. Manifolds of this type are shown to occur as invariant manifolds of flows containing hyperbolic restpoints with a pair of complex conjugate eigenvalues. It is shown that spiralling can be a mechanism for producing intersections of invariant manifolds.

Original language	English (US)
Pages (from-to)	189-207
Number of pages	19
Journal	Journal of Differential Equations
Volume	66
Issue number	2
DOIs	https://doi.org/10.1016/0022-0396(87)90031-3
State	Published - Feb 1987

Bibliographical note

Funding Information:
by NSF Grant 82-00765. University

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10.1016/0022-0396(87)90031-3

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title = "Spiralling invariant manifolds",

abstract = "A definition of the concept of a multidimensional spiralling manifold is studied. Manifolds of this type are shown to occur as invariant manifolds of flows containing hyperbolic restpoints with a pair of complex conjugate eigenvalues. It is shown that spiralling can be a mechanism for producing intersections of invariant manifolds.",

author = "Richard Moeckel",

note = "Funding Information: by NSF Grant 82-00765. University",

year = "1987",

month = feb,

doi = "10.1016/0022-0396(87)90031-3",

language = "English (US)",

volume = "66",

pages = "189--207",

journal = "Journal of Differential Equations",

issn = "0022-0396",

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T1 - Spiralling invariant manifolds

AU - Moeckel, Richard

N1 - Funding Information: by NSF Grant 82-00765. University

PY - 1987/2

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N2 - A definition of the concept of a multidimensional spiralling manifold is studied. Manifolds of this type are shown to occur as invariant manifolds of flows containing hyperbolic restpoints with a pair of complex conjugate eigenvalues. It is shown that spiralling can be a mechanism for producing intersections of invariant manifolds.

AB - A definition of the concept of a multidimensional spiralling manifold is studied. Manifolds of this type are shown to occur as invariant manifolds of flows containing hyperbolic restpoints with a pair of complex conjugate eigenvalues. It is shown that spiralling can be a mechanism for producing intersections of invariant manifolds.

UR - https://www.scopus.com/pages/publications/0037549803

UR - https://www.scopus.com/pages/publications/0037549803#tab=citedBy

U2 - 10.1016/0022-0396(87)90031-3

DO - 10.1016/0022-0396(87)90031-3

M3 - Article

AN - SCOPUS:0037549803

SN - 0022-0396

VL - 66

SP - 189

EP - 207

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 2

ER -

Spiralling invariant manifolds

Abstract

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