# The fundamental theorem of dynamical systems

Commentationes Mathematicae Universitatis Carolinae (1995)

- Volume: 36, Issue: 3, page 585-597
- ISSN: 0010-2628

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topNorton, Douglas E.. "The fundamental theorem of dynamical systems." Commentationes Mathematicae Universitatis Carolinae 36.3 (1995): 585-597. <http://eudml.org/doc/247765>.

@article{Norton1995,

abstract = {We propose the title of The Fundamental Theorem of Dynamical Systems for a theorem of Charles Conley concerning the decomposition of spaces on which dynamical systems are defined. First, we briefly set the context and state the theorem. After some definitions and preliminary results, based both on Conley's work and modifications to it, we present a sketch of a proof of the result in the setting of the iteration of continuous functions on compact metric spaces. Finally, we claim that this theorem should be called The Fundamental Theorem of Dynamical Systems.},

author = {Norton, Douglas E.},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {chain recurrent set; attractor; decomposition; decomposition of a flow; chain recurrent set; attractor; Conley theorem; dynamical systems},

language = {eng},

number = {3},

pages = {585-597},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {The fundamental theorem of dynamical systems},

url = {http://eudml.org/doc/247765},

volume = {36},

year = {1995},

}

TY - JOUR

AU - Norton, Douglas E.

TI - The fundamental theorem of dynamical systems

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1995

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 36

IS - 3

SP - 585

EP - 597

AB - We propose the title of The Fundamental Theorem of Dynamical Systems for a theorem of Charles Conley concerning the decomposition of spaces on which dynamical systems are defined. First, we briefly set the context and state the theorem. After some definitions and preliminary results, based both on Conley's work and modifications to it, we present a sketch of a proof of the result in the setting of the iteration of continuous functions on compact metric spaces. Finally, we claim that this theorem should be called The Fundamental Theorem of Dynamical Systems.

LA - eng

KW - chain recurrent set; attractor; decomposition; decomposition of a flow; chain recurrent set; attractor; Conley theorem; dynamical systems

UR - http://eudml.org/doc/247765

ER -

## References

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