Stability theory for dissipatively perturbed hamiltonian systems

John H. Maddocks; Michael L. Overton; John H. Maddocks; Michael L. Overton

doi:10.1002/cpa.3160480602

Stability theory for dissipatively perturbed hamiltonian systems

John H. Maddocks, Michael L. Overton, John H. Maddocks, Michael L. Overton

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

Abstract

It is shown that for an appropriate class of dissipatively perturbed Hamiltonian systems, the number of unstable modes of the dynamics linearized at a nondegenerate equilibrium is determined solely by the index of the equilibrium regarded as a critical point of the Hamiltonian. In addition, the movement of the associated eigenvalues in the limit of vanishing dissipation is analyzed. ©1995 John Wiley & Sons, Inc.

Original language	English (US)
Pages (from-to)	583-610
Number of pages	28
Journal	Communications on Pure and Applied Mathematics
Volume	48
Issue number	6
DOIs	https://doi.org/10.1002/cpa.3160480602
State	Published - 1995

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1002/cpa.3160480602

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title = "Stability theory for dissipatively perturbed hamiltonian systems",

abstract = "It is shown that for an appropriate class of dissipatively perturbed Hamiltonian systems, the number of unstable modes of the dynamics linearized at a nondegenerate equilibrium is determined solely by the index of the equilibrium regarded as a critical point of the Hamiltonian. In addition, the movement of the associated eigenvalues in the limit of vanishing dissipation is analyzed. {\textcopyright}1995 John Wiley & Sons, Inc.",

author = "Maddocks, {John H.} and Overton, {Michael L.} and Maddocks, {John H.} and Overton, {Michael L.}",

year = "1995",

doi = "10.1002/cpa.3160480602",

language = "English (US)",

volume = "48",

pages = "583--610",

journal = "Communications on Pure and Applied Mathematics",

issn = "0010-3640",

publisher = "Wiley-Liss Inc.",

number = "6",

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T1 - Stability theory for dissipatively perturbed hamiltonian systems

AU - Maddocks, John H.

AU - Overton, Michael L.

AU - Maddocks, John H.

AU - Overton, Michael L.

PY - 1995

Y1 - 1995

N2 - It is shown that for an appropriate class of dissipatively perturbed Hamiltonian systems, the number of unstable modes of the dynamics linearized at a nondegenerate equilibrium is determined solely by the index of the equilibrium regarded as a critical point of the Hamiltonian. In addition, the movement of the associated eigenvalues in the limit of vanishing dissipation is analyzed. ©1995 John Wiley & Sons, Inc.

AB - It is shown that for an appropriate class of dissipatively perturbed Hamiltonian systems, the number of unstable modes of the dynamics linearized at a nondegenerate equilibrium is determined solely by the index of the equilibrium regarded as a critical point of the Hamiltonian. In addition, the movement of the associated eigenvalues in the limit of vanishing dissipation is analyzed. ©1995 John Wiley & Sons, Inc.

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DO - 10.1002/cpa.3160480602

M3 - Article

AN - SCOPUS:84990716831

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JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

IS - 6

ER -

Stability theory for dissipatively perturbed hamiltonian systems

Abstract

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