Editing Dynamical system (section)

== Further reading ==
{{further cleanup|date=February 2025}}

{{refbegin|2}}
*{{cite book |first=Vladimir I. |last=Arnold |author-link=Vladimir Arnold |chapter=Fundamental concepts |title=Ordinary Differential Equations |location=Berlin |publisher=Springer Verlag |year=2006 |isbn=3-540-34563-9 }}
*{{cite book |first=I. D. |last=Chueshov |title=Introduction to the Theory of Infinite-Dimensional Dissipative Systems }} online version of first edition on the EMIS site [http://www.emis.de/monographs/Chueshov/].
*{{cite book |first=Roger |last=Temam |title=Infinite-Dimensional Dynamical Systems in Mechanics and Physics |publisher=Springer Verlag |orig-year=1988 |year=1997 }}

Works providing a broad coverage:
* {{cite book | author=[[Ralph Abraham (mathematician)|Ralph Abraham]] and [[Jerrold E. Marsden]] | title= Foundations of mechanics | publisher= Benjamin–Cummings | year= 1978 | isbn=978-0-8053-0102-1}}  (available as a reprint: {{ISBN|0-201-40840-6}})
* ''Encyclopaedia of Mathematical Sciences'' ({{ISSN|0938-0396}}) has a sub-series on dynamical systems with reviews of current research.
* {{cite book |author1=Christian Bonatti |author2=Lorenzo J. Díaz |author3=Marcelo Viana | title= Dynamics Beyond Uniform Hyperbolicity: A Global Geometric and Probabilistic Perspective| publisher= Springer | year= 2005 | isbn=978-3-540-22066-4}}
* {{cite journal | doi=10.1090/S0002-9904-1967-11798-1 | author=Stephen Smale | title= Differentiable dynamical systems | journal= Bulletin of the American Mathematical Society | year= 1967 |volume= 73 |pages= 747–817 | issue=6| author-link=Stephen Smale | doi-access= free }}

Introductory texts with a unique perspective:
* {{cite book | author=V. I. Arnold | title=Mathematical methods of classical mechanics | publisher=Springer-Verlag | year=1982 | isbn=978-0-387-96890-2 | author-link=Vladimir Arnold | url-access=registration | url=https://archive.org/details/mathematicalmeth0000arno }}
* {{cite book | author=[[Jacob Palis]] and [[Welington de Melo]] | title=Geometric theory of dynamical systems: an introduction | publisher=Springer-Verlag | year=1982 | isbn=978-0-387-90668-3 | url-access=registration | url=https://archive.org/details/geometrictheoryo0000pali }}
* {{cite book | author=David Ruelle | title=Elements of Differentiable Dynamics and Bifurcation Theory | publisher=Academic Press | year=1989 | isbn=978-0-12-601710-6| author-link=David Ruelle }}
* {{cite book | author=Tim Bedford, Michael Keane and Caroline Series, ''eds.'' | title= Ergodic theory, symbolic dynamics and hyperbolic spaces | publisher= Oxford University Press | year= 1991 | isbn= 978-0-19-853390-0 }}
* {{cite book | author= [[Ralph Abraham (mathematician)|Ralph H. Abraham]] and [[Robert Shaw (Physicist)#Illustrations|Christopher D. Shaw]] | title= Dynamics—the geometry of behavior, 2nd edition | publisher= Addison-Wesley | year= 1992 | isbn= 978-0-201-56716-8 }}

Textbooks
* {{cite book | author= Kathleen T. Alligood, Tim D. Sauer and [[James A. Yorke]] | title= Chaos. An introduction to dynamical systems | publisher= Springer Verlag | year= 2000 | isbn=978-0-387-94677-1}}
* {{cite book | author= Oded Galor | title= ''Discrete Dynamical Systems'' | publisher= Springer | year= 2011 | isbn=978-3-642-07185-0}}
* {{cite book | author= [[Morris Hirsch|Morris W. Hirsch]], [[Stephen Smale]] and [[Robert L. Devaney]] | title= Differential Equations, dynamical systems, and an introduction to chaos | publisher= Academic Press | year= 2003 | isbn=978-0-12-349703-1}}
* {{cite book |author1=Anatole Katok |author2=Boris Hasselblatt | title= Introduction to the modern theory of dynamical systems | publisher= Cambridge | year= 1996 | isbn=978-0-521-57557-7}}
* {{cite book | author= Stephen Lynch | title= Dynamical Systems with Applications using Maple 2nd Ed.| publisher= Springer | year= 2010|isbn = 978-0-8176-4389-8 }}
* {{cite book | title= Dynamical Systems with Applications using MATLAB 2nd Edition | publisher= Springer International Publishing | year= 2014|isbn = 978-3319068190 | author= Stephen Lynch }}
* {{cite book | author= Stephen Lynch | title= Dynamical Systems with Applications using Mathematica 2nd Ed.| publisher= Springer | year= 2017|isbn = 978-3-319-61485-4 }}
* {{cite book | title= Dynamical Systems with Applications using Python | publisher= Springer International Publishing | year= 2018|isbn = 978-3-319-78145-7 | author= Stephen Lynch }}
* {{cite book | author= James Meiss | title= Differential Dynamical Systems | publisher= SIAM | year= 2007|isbn = 978-0-89871-635-1 }}
* {{cite book | author= David D. Nolte | title= Introduction to Modern Dynamics: Chaos, Networks, Space and Time | publisher= Oxford University Press | year= 2015 | isbn=978-0199657032 }}
* {{cite book | author= Julien Clinton Sprott | title= ''Chaos and time-series analysis'' | publisher= Oxford University Press | year= 2003 | isbn=978-0-19-850839-7}}
* {{cite book | author=Steven H. Strogatz | title= Nonlinear dynamics and chaos: with applications to physics, biology chemistry and engineering | publisher= Addison Wesley | year= 1994|isbn = 978-0-201-54344-5 | author-link= Steven Strogatz }}
* {{cite book| last = Teschl| given = Gerald|author-link=Gerald Teschl| title = Ordinary Differential Equations and Dynamical Systems| publisher=[[American Mathematical Society]]| place = [[Providence, Rhode Island|Providence]]| year = 2012| isbn= 978-0-8218-8328-0| url = https://www.mat.univie.ac.at/~gerald/ftp/book-ode/}}
* {{cite book | author= Stephen Wiggins | title= Introduction to Applied Dynamical Systems and Chaos | publisher= Springer | year= 2003 | isbn= 978-0-387-00177-7 }}

Popularizations:
* {{cite book | author=[[Florin Diacu]] and [[Philip Holmes]] | title= Celestial Encounters | publisher= Princeton | year= 1996 | isbn= 978-0-691-02743-2}}
* {{cite book | author=James Gleick | title= Chaos: Making a New Science | publisher= Penguin | year= 1988 | isbn= 978-0-14-009250-9| author-link= James Gleick | title-link= Chaos: Making a New Science }}
* {{cite book | author-link=Ivar Ekeland | author=Ivar Ekeland | title= Mathematics and the Unexpected (Paperback) | publisher= University Of Chicago Press | year= 1990 | isbn= 978-0-226-19990-0}}
* {{cite book | author=Ian Stewart | year = 1997 | title = Does God Play Dice? The New Mathematics of Chaos | publisher = Penguin | isbn = 978-0-14-025602-4}}
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