Wikipedia's definition of a dynamical system

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Dynamical systems are defined broadly on Wikipedia, prompting a request for a reliable source for this definition. A user suggests Scholarpedia as a charming alternative, while another recommends Wiggins as a standard introductory reference. Additionally, "Introduction to the Modern Theory of Dynamical Systems" by Katok and Hasselblatt is highlighted as a valuable resource. These suggestions aim to support the writing of a text focused on discrete dynamical systems while including a general definition. Reliable sources are essential for accurate academic writing on the topic.
phibonacci
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Hi,

In http://en.wikipedia.org/wiki/Dynamical_system_%28definition%29" dynamical systems are defined in a very general way. Does anyone know a book that contains this definition? I didn't find it in any of the books in the reference list of the Wikipedia article. I am writing a text that focuses on discrete dynamical systems, but I would still like to include the general definition, and therefore I need a reliable source I can refer to.

Thanks in advance,

phibonacci
 
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Thanks for the tip. I also found "Introduction to the Modern Theory of Dynamical Systems" by Katok and Hasselblatt to be quite useful.
 

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