Abstract
Nature abounds with periodic phenomena: from the motion of a swing to the oscillations of an atom, from the chirping of a grasshopper to the orbits of the heavenly bodies. And our terrestrial bodies, too, participate in this universal minuet — from the heart beat to the circadian rhythm and even longer cycles.
“O Julia, mir graut’s, wenn man bedenkt, an dünnen Fädchen nur dein Schicksal hängt. Dein body ist so thin und doch so schön, wann werde ich dich sweet heart wiederseh’n.”
Manfred Peschel
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
N. J. A. Sloane: A Handbook of Integer Sequences ( Academic Press, Orlando, FL, 1973 )
D. Shechtman, I. Blech, D. Gratias and J. W. Cahn: Metallic phase with long-range orientational order and no translational symmetry. Phys. Rev. Lett. 53, 1951–1953 (1984)
M. Gardner: Extraordinary nonperiodic tiling that enriches the theory of tiles. Scientific American 236, 110–121 (Jan. 1977)
D. Levine and P. J. Steinhardt: Quasicrystals: A new class of ordered structures. Phys. Rev. Lett. 53, 2477–2480 (1984)
B. Mandelbrot: The Fractal Geometry of Nature ( Freeman, San Francisco 1983 )
T. A. Witten and L. M. Sander: Phys. Rev. Lett. 47, 1400–1403 (1981); Phys. Rev. B 7, 5686–5697 (1983)
C. Nicolis and G. Nicolis: Gibt es einen Klima-Attraktor? Phys. Blätter 41, 5–9 (1985)
E. Basar: Toward a physical approach to integrative physiology. I. Brain dynamics and physical causality. Am. J. Physiol. 245 (Regulatory Integrative Comp. Physiol. 14), R510— R533 (1983);
see also A. Abraham, A. Mandel and D. Farmer, in Proceedings Nonlinear Functions of the Brain (Santa Barbara 1982 )
M. R. Schroeder: Linear prediction, entropy and signal analysis. IEEE ASSP Magazine 1, 3–11 (July 1984)
M. J. Feigenbaum: Universal behavior in nonlinear systems. Los Alamos Science 1, 427 (1981);
see also M. J. Feigenbaum: Quantitative universality for a class of nonlinear transformation. J. Statistical Physics 19, 25–52 (1978)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Schroeder, M.R. (1986). Self-Similarity, Fractals, Deterministic Chaos and a New State of Matter. In: Number Theory in Science and Communication. Springer Series in Information Sciences, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-22246-1_30
Download citation
DOI: https://doi.org/10.1007/978-3-662-22246-1_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15800-4
Online ISBN: 978-3-662-22246-1
eBook Packages: Springer Book Archive