Development and Forecast of Fractal Theory
Jinping Li
Abstract
Jinping Li
Abstract
Fractal theory is an important branch of modern nonlinear science and is an important mathematical tool and method in scientific research. The theoretical principle of fractal theory is fractal geometry. This paper mainly presents the origin, development, application area and status of fractal theory, the future of the fractal research .The fractal dimension of .classical fractal pictures like Koch curve and Sierpinski gasket are also given in this paper.
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Fractal theory is an important branch of modern nonlinear science and is an important mathematical tool and method in scientific research. The theoretical principle of fractal theory is fractal geometry. This paper mainly presents the origin, development, application area and status of fractal theory, the future of the fractal research .The fractal dimension of .classical fractal pictures like Koch curve and Sierpinski gasket are also given in this paper.
Key concepts: Fractal, Fractal dimension on networks, Fractal landscape, Fractal dimension, Fractal derivative, Mathematics, Fractal analysis, Multifractal system