Dissertation > Mathematical sciences and chemical > Physics > Theoretical Physics > Nonlinear physics > Chaos Theory

On the Open Set Condition for Self-similar Fractals

Author CaoLi
Tutor HeXingGang
School Central China Normal University
Course Basic mathematics
Keywords Contracting similarity map Forbidden point Open set condition Fractal
CLC O415.5
Type Master's thesis
Year 2008
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Usually,the invariant set of a contracting similarity maps on R~n is a self-similar sets of fractal.Beginning with the invariant setA of f_i:i=1,…,m,we give a constructive approach by defining a kind of open sets V_H,V_F,V_j,and V_j,which satisfies the open set condition.

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