Chaos and fractals

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1. bmitcAug 2023
   Strange attractors are by definition aperiodic and do not self-intersect, and I'm not sure I entirely understand your question(s). For example, what do you mean by "where the chaos is being inserted"? Chaotic systems are completely deterministic and are sensitive to any change in initial conditions. The chaos is there from the start. But it doesn't mean that once initial conditions are given that the system behaves chaotically for the time evolution of the system since, again, the system is deterministic.

   I'm also not sure if the book answers your question(s) on this apparent aymmetry aspect, but Chaos and Fractals by David Feldman is a fantastic introduction to these topics with lots of good pictures. It is not a proof-based book, but it does include mathematics at manageable level. The book gives a great introduction to strange attractors, namely the Henon map, Rossler attractor, and the Lorenz attractor.

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2. bcbrownJan 2023
   In early high school in the 90s, I got my parents to buy me an (expensive) copy of Chaos and Fractals: New Frontiers of Science by Peitgen, Jurgens, Saupe. The end of each chapter was a Basic program for calculating and displaying various fractal/chaos theory images, and that's what got me started programming.

   It also included a bunch of mathematics involving "neighborhoods", meaning the set of all points within a distance of an arbitrarily small epsilon from some point X. Although I never did any of the math problems from the book, that early exposure to epsilon made calculus vastly easier to understand, and for that, it's close to my heart.

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3. lonelappdeJul 2019
   "Chaos and Fractals", a huge tome of a book , from the 1990s, is an incredible book to learn about Feigenbaum's work and others. The programming language it uses is rather obsolete, but it's such a wonderful book for a motivated high school or college student.
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4. msieDec 2015
   Sooo many good books! I'm exhausted! Here are some good ones:

   MPEG Video Compression Standard:

   http://link.springer.com/book/10.1007/b115884

   Chaos and Fractals:

   http://link.springer.com/book/10.1007/b97624

   Proofs from THE BOOK:

   http://link.springer.com/book/10.1007/978-3-662-05412-3

   Joel on Software:

   http://link.springer.com/book/10.1007/978-1-4302-0753-5

   Programming Challenges:

   http://link.springer.com/book/10.1007/b97559

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5. DanBCDec 2015
   Beauty of Fractals: http://link.springer.com/book/10.1007/978-3-642-61717-1

   Chaos and Fractals: http://link.springer.com/book/10.1007/b97624

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