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FORMAL STABILITY OF HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM

Diliberto, Stephen P

1966

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Título:
FORMAL STABILITY OF HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM
Autor: Diliberto, Stephen P
Assuntos: BOUNDARY VALUE PROBLEMS ; Celestial Mechanics ; COMPLEX NUMBERS ; DIFFERENTIAL EQUATIONS ; FUNCTIONS(MATHEMATICS) ; HAMILTONIAN FUNCTIONS ; MATRICES(MATHEMATICS) ; Mechanics ; METAMATHEMATICS ; MOTION ; N BODY PROBLEM ; PERIODIC SOLUTIONS ; PERIODIC VARIATIONS ; POLYNOMIALS ; SEQUENCES(MATHEMATICS) ; SERIES(MATHEMATICS) ; STABILITY ; STEEPEST DESCENT METHOD ; SURFACES ; Theoretical Mathematics
Notas: DTIC AND NTIS
Descrição: Motion near periodic solutions is characterized by the eigen-values of the linear terms of the differential equation in local coordinates. When these local coordinates have purely imaginary characteristic roots the possibility of stability exists. When these roots are commensurable with the frequency of the periodic solution the system is in general unstable. It was believed that there were an infinite set of algebraic conditions necessary for formal stability. These are herein to reduce to two for a Hamiltonian system with two degrees of freedom. (Author)
Data de criação/publicação: 1966
Idioma: Inglês

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