Chaos and fractals :
Peitgen, Heinz-Otto
Chaos and fractals : new frontiers of science / Heinz-Otto Peitgen, Hartmut Jürgens and Dietmar Saupe. - Second edition - New York : Springer ; 2004. - xiii, 864 pages : illustration ; 24 cm.
Includes index.
Includes reference bibliography (p. 839-851).
The backbone of fractals: feedback and the iterator -- Classical fractals and self-similarity -- Limits and self-similarity -- Length, área and dimensión: measuring complexity and scaling properties -- Encoding images by simple transformations -- The chaos game: how randomness creates deterministic shapes -- Recursive structures: growing fractals and plants -- Pascal's triangle: cellular autómata and attactors -- Irregular shapes: ramdommess in fractal constructions -- Deterministic chaos: sensivity,mixing, and periodic points -- Order and chaos: period-doubling and its chaotic mirror -- Strange attactors: the locus of chaos -- Julia sets: fractal basin boundaies -- The mandelbrot set: ordering the Jula sets.
9781468493962
Chaotic behavior in systems
Fractals
003.857
Chaos and fractals : new frontiers of science / Heinz-Otto Peitgen, Hartmut Jürgens and Dietmar Saupe. - Second edition - New York : Springer ; 2004. - xiii, 864 pages : illustration ; 24 cm.
Includes index.
Includes reference bibliography (p. 839-851).
The backbone of fractals: feedback and the iterator -- Classical fractals and self-similarity -- Limits and self-similarity -- Length, área and dimensión: measuring complexity and scaling properties -- Encoding images by simple transformations -- The chaos game: how randomness creates deterministic shapes -- Recursive structures: growing fractals and plants -- Pascal's triangle: cellular autómata and attactors -- Irregular shapes: ramdommess in fractal constructions -- Deterministic chaos: sensivity,mixing, and periodic points -- Order and chaos: period-doubling and its chaotic mirror -- Strange attactors: the locus of chaos -- Julia sets: fractal basin boundaies -- The mandelbrot set: ordering the Jula sets.
9781468493962
Chaotic behavior in systems
Fractals
003.857