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Mathematical treatments fractals

The mathematical treatment is friendly and informal, but still careful. Analytical methods, concrete examples, and geometric intuition are stressed. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors. [Pg.507]

A rigorous treatment of fractal mathematics is beyond the scope of this treatise therefore, only essential concepts relating to a descriptive understanding of fractal shapes and analyses will be discussed. More complete and comprehensive reviews of this growing area are available. 52,56-61l... [Pg.24]

See other pages where Mathematical treatments fractals is mentioned: [Pg.82]    [Pg.129]    [Pg.323]    [Pg.110]    [Pg.1]    [Pg.137]    [Pg.274]    [Pg.261]    [Pg.512]    [Pg.291]   
See also in sourсe #XX -- [ Pg.665 , Pg.666 , Pg.686 ]



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