Normal hyperbolicity of center manifolds and Saint-Venant's principle

Alexander Mielke

doi:10.1007/bf00393272

Normal hyperbolicity of center manifolds and Saint-Venant's principle

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00393272 ◽

1990 ◽

Vol 110 (4) ◽

pp. 353-372 ◽

Cited By ~ 40

Author(s):

Alexander Mielke

Keyword(s):

Center Manifolds ◽

Normal Hyperbolicity

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Center manifolds, normal forms and bifurcations of vector fields with application to coupling between periodic and steady motions

Physica D Nonlinear Phenomena ◽

10.1016/0167-2789(81)90022-1 ◽

1981 ◽

Vol 2 (3) ◽

pp. 449-481 ◽

Cited By ~ 43

Author(s):

Philip J. Holmes

Keyword(s):

Vector Fields ◽

Normal Forms ◽

Center Manifolds ◽

Steady Motions

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Center manifolds for nonuniformly partially hyperbolic diffeomorphisms

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2005.07.005 ◽

2005 ◽

Vol 84 (12) ◽

pp. 1693-1715 ◽

Cited By ~ 10

Author(s):

Luis Barreira ◽

Claudia Valls

Keyword(s):

Center Manifolds ◽

Hyperbolic Diffeomorphisms ◽

Partially Hyperbolic ◽

Partially Hyperbolic Diffeomorphisms

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Center Manifolds

Mathematics of Complexity and Dynamical Systems ◽

10.1007/978-1-4614-1806-1_5 ◽

2012 ◽

pp. 48-62 ◽

Cited By ~ 1

Author(s):

George Osipenko

Keyword(s):

Center Manifolds

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Center manifolds and normal forms for a class of retarded functional differential equations with parameter associated with Fold-Hopf singularity

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.01.030 ◽

2006 ◽

Vol 181 (1) ◽

pp. 220-246 ◽

Cited By ~ 8

Author(s):

R. Qesmi ◽

M. Ait Babram ◽

M.L. Hbid

Keyword(s):

Differential Equations ◽

Normal Forms ◽

Functional Differential Equations ◽

Center Manifolds ◽

Retarded Functional Differential Equations ◽

Functional Differential

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Notations and basic facts on center manifolds

Hamiltonian and Lagrangian Flows on Center Manifolds - Lecture Notes in Mathematics ◽

10.1007/bfb0097546 ◽

1991 ◽

pp. 9-16

Author(s):

Alexander Mielke

Keyword(s):

Center Manifolds ◽

Basic Facts

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AN ALGORITHMIC SCHEME FOR APPROXIMATING CENTER MANIFOLDS AND NORMAL FORMS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS

Delay Differential Equations and Applications - NATO Science Series ◽

10.1007/1-4020-3647-7_6 ◽

2007 ◽

pp. 193-226 ◽

Cited By ~ 4

Author(s):

M. Ait Babram

Keyword(s):

Differential Equations ◽

Normal Forms ◽

Functional Differential Equations ◽

Center Manifolds ◽

Functional Differential

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Bifurcations, Center Manifolds, and Periodic Solutions

Delay Differential Equations ◽

10.1007/978-0-387-85595-0_6 ◽

2009 ◽

pp. 1-48

Author(s):

David E. Gilsinn

Keyword(s):

Periodic Solutions ◽

Center Manifolds

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Rough Center Manifolds

SIAM Journal on Mathematical Analysis ◽

10.1137/18m1234084 ◽

2021 ◽

Vol 53 (4) ◽

pp. 3912-3957

Author(s):

Alexandra Neamţu ◽

Christian Kuehn

Keyword(s):

Center Manifolds

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Coulomb spacecraft formation flying: Equilibrium points, periodic orbits, and center manifolds

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2020.132357 ◽

2020 ◽

Vol 404 ◽

pp. 132357 ◽

Cited By ~ 1

Author(s):

Mingpei Lin ◽

Xiaoyu Fu ◽

Ming Xu ◽

Han Yan

Keyword(s):

Periodic Orbits ◽

Formation Flying ◽

Equilibrium Points ◽

Center Manifolds ◽

Spacecraft Formation ◽

Spacecraft Formation Flying

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Investigation of center manifolds of three-dimensional systems using computer algebra

Programming and Computer Software ◽

10.1134/s0361768813020072 ◽

2013 ◽

Vol 39 (2) ◽

pp. 67-73 ◽

Cited By ~ 5

Author(s):

V. G. Romanovski ◽

M. Mencinger ◽

B. Ferčec

Keyword(s):

Computer Algebra ◽

Three Dimensional ◽

Center Manifolds

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