Invariant Manifolds in Dissipative Dynamical Systems

Ferdinand Verhulst

doi:10.1007/s10440-005-1159-4

Invariant Manifolds in Dissipative Dynamical Systems

Acta Applicandae Mathematicae ◽

10.1007/s10440-005-1159-4 ◽

2005 ◽

Vol 87 (1-3) ◽

pp. 229-244 ◽

Cited By ~ 14

Author(s):

Ferdinand Verhulst

Keyword(s):

Dynamical Systems ◽

Invariant Manifolds ◽

Dissipative Dynamical Systems

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A Variational Principle for Computing Slow Invariant Manifolds in Dissipative Dynamical Systems

SIAM Journal on Scientific Computing ◽

10.1137/100790318 ◽

2011 ◽

Vol 33 (2) ◽

pp. 703-720 ◽

Cited By ~ 14

Author(s):

Dirk Lebiedz ◽

Jochen Siehr ◽

Jonas Unger

Keyword(s):

Dynamical Systems ◽

Variational Principle ◽

Invariant Manifolds ◽

Dissipative Dynamical Systems

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A note on the fractal dimension of attractors of dissipative dynamical systems

Nonlinear Analysis ◽

10.1016/s0362-546x(99)00309-0 ◽

2001 ◽

Vol 44 (6) ◽

pp. 811-819 ◽

Cited By ~ 23

Author(s):

V.V. Chepyzhov ◽

A.A. Ilyin

Keyword(s):

Fractal Dimension ◽

Dynamical Systems ◽

Dissipative Dynamical Systems

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Fractional action-like variational problems in holonomic, non-holonomic and semi-holonomic constrained and dissipative dynamical systems

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2008.10.022 ◽

2009 ◽

Vol 42 (1) ◽

pp. 52-61 ◽

Cited By ~ 26

Author(s):

Ahmad Rami EL-Nabulsi

Keyword(s):

Dynamical Systems ◽

Variational Problems ◽

Dissipative Dynamical Systems

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A Scaling Property in the Non-stationary Dissipative Dynamical Systems

Communications in Theoretical Physics ◽

10.1088/0253-6102/35/2/151 ◽

2001 ◽

Vol 35 (2) ◽

pp. 151-156

Author(s):

Fang Hai-Ping

Keyword(s):

Dynamical Systems ◽

Scaling Property ◽

Dissipative Dynamical Systems

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Shape of attractors for three-dimensional dissipative dynamical systems

Physical Review E ◽

10.1103/physreve.61.5098 ◽

2000 ◽

Vol 61 (5) ◽

pp. 5098-5107 ◽

Cited By ~ 5

Author(s):

S. Neukirch ◽

H. Giacomini

Keyword(s):

Dynamical Systems ◽

Three Dimensional ◽

Dissipative Dynamical Systems

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Dissipative Dynamical Systems: Basic Input-Output and State Properties

Journal of the Franklin Institute ◽

10.1016/0016-0032(80)90026-5 ◽

1980 ◽

Vol 309 (5) ◽

pp. 327-357 ◽

Cited By ~ 424

Author(s):

David J. Hill ◽

Peter J. Moylan

Keyword(s):

Dynamical Systems ◽

Input Output ◽

Dissipative Dynamical Systems ◽

Basic Input

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A direct method for dissipative dynamical systems by using the symplectic Brezis‐Ekeland‐Nayroles principle

PAMM ◽

10.1002/pamm.201800281 ◽

2018 ◽

Vol 18 (1) ◽

Author(s):

An Danh Nguyen ◽

Bernd Markert

Keyword(s):

Dynamical Systems ◽

Direct Method ◽

Dissipative Dynamical Systems ◽

A Direct Method

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Compactification for asymptotically autonomous dynamical systems: theory, applications and invariant manifolds

Nonlinearity ◽

10.1088/1361-6544/abe456 ◽

2021 ◽

Vol 34 (5) ◽

pp. 2970-3000

Author(s):

Sebastian Wieczorek ◽

Chun Xie ◽

Chris K R T Jones

Keyword(s):

Dynamical Systems ◽

Systems Theory ◽

Invariant Manifolds ◽

Dynamical Systems Theory ◽

Autonomous Dynamical Systems

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Invariant Manifolds for Infinite Dimensional Random Dynamical Systems

Interdisciplinary Mathematical Sciences - New Trends in Stochastic Analysis and Related Topics ◽

10.1142/9789814360920_0010 ◽

2011 ◽

pp. 301-328

Author(s):

Kening Lu ◽

Björn Schmalfuβ

Keyword(s):

Dynamical Systems ◽

Invariant Manifolds ◽

Random Dynamical Systems ◽

Infinite Dimensional

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Quantifying nonergodicity in nonautonomous dissipative dynamical systems: An application to climate change

Physical Review E ◽

10.1103/physreve.94.022214 ◽

2016 ◽

Vol 94 (2) ◽

Cited By ~ 13

Author(s):

Gábor Drótos ◽

Tamás Bódai ◽

Tamás Tél

Keyword(s):

Climate Change ◽

Dynamical Systems ◽

Dissipative Dynamical Systems

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