Vibrations of simple fractal-based models
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Dynamical systems with fractal geometry can be constructed in a variety of ways: We illustrate this variety with examples based on the Cantor set, the Sierpinski gasket, and on lattices of these fractal-based structures. Depending on the physical parameters, the models can exhibit both discrete and continuous spectra.
Key WordsFractal lattice vibration Cantor set Sierpinski gasket
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