Cone conditions and covering relations for
topologically normally hyperbolic invariant manifolds

Maciej J. Capiński;  ; Piotr Zgliczyński;

doi:10.3934/dcds.2011.30.641

Cone conditions and covering relations for topologically normally hyperbolic invariant manifolds

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2011.30.641 ◽

2011 ◽

Vol 30 (3) ◽

pp. 641-670 ◽

Cited By ~ 18

Author(s):

Maciej J. Capiński ◽

◽

Piotr Zgliczyński ◽

Keyword(s):

Invariant Manifolds ◽

Normally Hyperbolic Invariant Manifolds ◽

Cone Conditions

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Invariant foliations near normally hyperbolic invariant manifolds for semiflows

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-00-02503-4 ◽

2000 ◽

Vol 352 (10) ◽

pp. 4641-4676 ◽

Cited By ~ 35

Author(s):

Peter W. Bates ◽

Kening Lu ◽

Chongchun Zeng

Keyword(s):

Invariant Manifolds ◽

Normally Hyperbolic Invariant Manifolds

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Sampling Phase Space Dividing Surfaces Constructed from Normally Hyperbolic Invariant Manifolds (NHIMs)

The Journal of Physical Chemistry A ◽

10.1021/acs.jpca.8b07205 ◽

2018 ◽

Vol 122 (42) ◽

pp. 8354-8362 ◽

Cited By ~ 4

Author(s):

Gregory S. Ezra ◽

Stephen Wiggins

Keyword(s):

Phase Space ◽

Invariant Manifolds ◽

Normally Hyperbolic Invariant Manifolds

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Persistence of 𝐶^{𝑘} normally hyperbolic invariant manifolds for infinite dimensional dynamical systems

First International Congress of Chinese Mathematicians - AMS/IP Studies in Advanced Mathematics ◽

10.1090/amsip/020/36 ◽

2001 ◽

pp. 403-410

Keyword(s):

Dynamical Systems ◽

Invariant Manifolds ◽

Infinite Dimensional ◽

Infinite Dimensional Dynamical Systems ◽

Normally Hyperbolic Invariant Manifolds

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Orbital and escape dynamics in barred galaxies – II. The 3D system: exploring the role of the normally hyperbolic invariant manifolds

Monthly Notices of the Royal Astronomical Society ◽

10.1093/mnras/stw2274 ◽

2016 ◽

Vol 463 (4) ◽

pp. 3965-3988 ◽

Cited By ~ 14

Author(s):

Christof Jung ◽

Euaggelos E. Zotos

Keyword(s):

Invariant Manifolds ◽

Barred Galaxies ◽

Escape Dynamics ◽

Normally Hyperbolic Invariant Manifolds

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On the computation of normally hyperbolic invariant manifolds

Nonlinear Dynamical Systems and Chaos ◽

10.1007/978-3-0348-7518-9_20 ◽

1996 ◽

pp. 423-447 ◽

Cited By ~ 2

Author(s):

H. W. Broer ◽

H. M. Osinga ◽

G. Vegter

Keyword(s):

Invariant Manifolds ◽

Normally Hyperbolic Invariant Manifolds

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Dimension and stability of sets embedded in normally hyperbolic invariant manifolds

Equadiff 99 ◽

10.1142/9789812792617_0207 ◽

2000 ◽

pp. 1081-1083

Author(s):

Volker Reitmann

Keyword(s):

Invariant Manifolds ◽

Normally Hyperbolic Invariant Manifolds

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Breakdown mechanisms of normally hyperbolic invariant manifolds in terms of unstable periodic orbits and homoclinic/heteroclinic orbits in Hamiltonian systems

Nonlinearity ◽

10.1088/0951-7715/28/8/2677 ◽

2015 ◽

Vol 28 (8) ◽

pp. 2677-2698 ◽

Cited By ~ 11

Author(s):

Hiroshi Teramoto ◽

Mikito Toda ◽

Tamiki Komatsuzaki

Keyword(s):

Periodic Orbits ◽

Hamiltonian Systems ◽

Invariant Manifolds ◽

Heteroclinic Orbits ◽

Unstable Periodic Orbits ◽

Normally Hyperbolic Invariant Manifolds

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Computer assisted proof for normally hyperbolic invariant manifolds

Nonlinearity ◽

10.1088/0951-7715/25/7/1997 ◽

2012 ◽

Vol 25 (7) ◽

pp. 1997-2026 ◽

Cited By ~ 19

Author(s):

Maciej J Capiński ◽

Carles Simó

Keyword(s):

Invariant Manifolds ◽

Computer Assisted ◽

Computer Assisted Proof ◽

Normally Hyperbolic Invariant Manifolds

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Unravelling the escape dynamics and the nature of the normally hyperbolic invariant manifolds in tidally limited star clusters

Monthly Notices of the Royal Astronomical Society ◽

10.1093/mnras/stw2517 ◽

2016 ◽

Vol 465 (1) ◽

pp. 525-546 ◽

Cited By ~ 7

Author(s):

Euaggelos E. Zotos ◽

Christof Jung

Keyword(s):

Invariant Manifolds ◽

Star Clusters ◽

Escape Dynamics ◽

Normally Hyperbolic Invariant Manifolds

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Persistence of noncompact normally hyperbolic invariant manifolds in bounded geometry

Comptes Rendus Mathematique ◽

10.1016/j.crma.2012.06.009 ◽

2012 ◽

Vol 350 (11-12) ◽

pp. 617-620 ◽

Cited By ~ 5

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Keyword(s):

Invariant Manifolds ◽

Bounded Geometry ◽

Normally Hyperbolic Invariant Manifolds

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