Xiao Jia-qing
Abstract
The paper discusses the local dimension of invariant set caused by a family-increasing nonlinear contracted mappings which are twice differentiable and satisfy the open set condition by the means of bounded variation principle and bounded singular transformation principle.
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The paper discusses the local dimension of invariant set caused by a family-increasing nonlinear contracted mappings which are twice differentiable and satisfy the open set condition by the means of bounded variation principle and bounded singular transformation principle.
Key concepts: Mathematics, Invariant (physics), Bounded function, Nonlinear system, Differentiable function, Dimension (graph theory), Pure mathematics, Class (philosophy)