Central Configurations, Periodic Orbits, and Hamiltonian Systems (Advanced Courses in Mathematics - CRM Barcelona)
De (autor) Jaume Llibre, Richard Moeckel, Carles Simóen Limba Engleză Paperback – 29 Dec 2015
The book is directed towards graduate students and researchers interested in dynamical systems, in particular in the conservative case, and aims at facilitating the understanding of dynamics of specific models. The results presented and the tools introduced in this book include a large range of applications.
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Specificații
ISBN-13: 9783034809320
ISBN-10: 3034809328
Pagini: 240
Ilustrații: Bibliographie
Dimensiuni: 168 x 240 x 13 mm
Greutate: 0.4 kg
Ediția: 1st ed. 2015
Editura: Springer
Colecția Birkhäuser
Seria Advanced Courses in Mathematics - CRM Barcelona
Locul publicării: Basel, Switzerland
ISBN-10: 3034809328
Pagini: 240
Ilustrații: Bibliographie
Dimensiuni: 168 x 240 x 13 mm
Greutate: 0.4 kg
Ediția: 1st ed. 2015
Editura: Springer
Colecția Birkhäuser
Seria Advanced Courses in Mathematics - CRM Barcelona
Locul publicării: Basel, Switzerland
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Public țintă
GraduateCuprins
1
The
Averaging
Theory
for
Computing
Periodic
Orbits.-
Introduction:
the
classical
theory.-
Averaging
theory
for
arbitrary
order
and
dimension.-
Three
applications
of
Theorem.-
2
Lectures
on
Central
Configurations.-
The
n-body
problem.-
Symmetries
and
integrals.-
Central
configurations
and
self-similar
solutions.-
Matrix
equations
of
motion.-
Homographic
motions
of
central
configurations
in
Rd.-
Albouy-Chenciner
reduction
and
relative
equilibria
in
Rd.-
Homographic
motions
in
Rd.-
Central
configurations
as
critical
points.-
Collinear
central
configurations.-
Morse
indices
of
non-collinear
central
configurations.-
Morse
theory
for
CC's
and
SBC's.-
Dziobek
configurations.-
Convex
Dziobek
central
configurations.-
Generic
finiteness
for
Dziobek
central
configurations.-
Some
open
problems.-
3
Dynamical
Properties
of
Hamiltonian
Systems.-
Introduction.-
Low
dimension.-
Some
theoretical
results,
their
implementation
and
practical
tools.-
Applications
to
Celestial
Mechanics.
Textul de pe ultima copertă
The
notes
of
this
book
originate
from
three
series
of
lectures
given
at
the
Centre
de
Recerca
Matemàtica
(CRM)
in
Barcelona.
The
first
one
is
dedicated
to
the
study
of
periodic
solutions
of
autonomous
differential
systems
in
Rn
via
the
Averaging
Theory
and
was
delivered
by
Jaume
Llibre.
The
second
one,
given
by
Richard
Moeckel,
focusses
on
methods
for
studying
Central
Configurations.
The
last
one,
by
Carles
Simó,
describes
the
main
mechanisms
leading
to
a
fairly
global
description
of
the
dynamics
in
conservative
systems.
The book is directed towards graduate students and researchers interested in dynamical systems, in particular in the conservative case, and aims at facilitating the understanding of dynamics of specific models. The results presented and the tools introduced in this book include a large range of applications.
The book is directed towards graduate students and researchers interested in dynamical systems, in particular in the conservative case, and aims at facilitating the understanding of dynamics of specific models. The results presented and the tools introduced in this book include a large range of applications.
Caracteristici
Provides
applications
to
the
study
of
periodic
solutions
for
some
well
know
differential
equations
and
Hamiltonian
systems
Includes new ideas and techniques for central configurations in spaces with dimension bigger than three
Presents invariant objects in dynamical systems in a unique combination of analytical and geometrical aspects
Includes new ideas and techniques for central configurations in spaces with dimension bigger than three
Presents invariant objects in dynamical systems in a unique combination of analytical and geometrical aspects