Nonlinear Dynamics

, Volume 51, Issue 3, pp 379–398 | Cite as

On some nonlinear nonisotropic quasi-self-similar functions

  • Anouar Ben Mabrouk
Original Paper


Nonlinear nonisotropic quasi-self-similar functions are important because of their relation with many physical phenomena such as fully developed turbulence or diffusion limited aggregates. Such functions are superpositions of “similar" structures at different scales, reminiscent of some modelization of turbulence. In this paper we continue to study such a class of functions. We extend our results in [Ben Mabrouk. A., Far East J. Dynam. Syst. 7(1), 23–63 (2005)] to some nonlinear cases and where some separation condition is not satisfied.

Wavelets Quasi-self-similarity Multifractal analysis Regularity Multifractal formalism 


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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  1. 1.Computational Mathematics Laboratory, Department of Mathematics, Faculty of SciencesMonastirTunisia

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