27 citations · 30 across the 3 of their papers we have counts for
3 papers
Relations de dispersion pour chaînes linéaires comportant des interactions harmoniques auto-similaires
Thomas M. Michelitsch, Gérard A. Maugin, Franck C. G. A. Nicolleau +2
Many systems in nature have arborescent and bifurcated structures such as trees, fern, snails, lungs, the blood vessel system, etc. and look self-similar over a wide range of scale…
Analysis of the Vibrational Mode Spectrum of a Linear Chain with Spatially Exponential Properties
Thomas Michelitsch, Gérard A. Maugin, Andrzej. F. Nowakowski +1
We deduce the dynamic frequency-domain-lattice Green's function of a linear chain with properties (masses and next-neighbor spring constants) of exponential spatial dependence. We…
Dispersion Relations and Wave Operators in Self-Similar Quasi-Continuous Linear Chains
Thomas M. Michelitsch, Gérard A. Maugin, Franck C. G. A Nicolleau +2
We construct self-similar functions and linear operators to deduce a self-similar variant of the Laplacian operator and of the D'Alembertian wave operator. The exigence of self-sim…