Phys. Rev. A 41, 6615–6620 (1990)Scaling properties of multifractal functions at an attractor-repeller transitionReceived 27 November 1989; published in the issue dated June 1990 Multifractal properties of repelling sets generated by hyperbolic maps are studied as a function of a parameter describing a transition to an attracting interval. Critical indices in the scaling behavior of multifractal functions are found when a uniform probability density is assumed. A constant probability is also considered, and the resulting thermodynamiclike functions are investigated close to the critical value of the parameter. © 1990 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.41.6615
DOI:
10.1103/PhysRevA.41.6615
PACS:
05.45.+b, 02.60.+y
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.