Abstract
When we think about fractals as images, forms or structures we usually perceive them as static objects. This is a legitimate initial standpoint in many cases, as for example if we deal with natural structures like the ones in figures 1.1 and 1.2.
The scientist does not study nature because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living.
Henri Poincaré
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Reference
Nature does not make radical jumps.
lt was proposed by Ralph Abraham from the University of California at Santa Cruz in the 1970’s. See R. Abraham, Simulation of cascades by video feedback,in: “Structural Stability, the Theory of Catastrophes, and Applications in the Sciences”, P. Hilton (ed.), Lecture Notes in Mathematics vol. 525, 1976, 10–14, Springer-Verlag, Berlin.
NTSC is typically 30 frames per second at 480 lines per image.
J. P. Crutchfield, Space-time dynamics in video feedback, Physica 10D (1984) 229–245.
Filius (=son) of Bonacci
Two elaborate studies appeared in the Mémoires de l’Académie Royale de Belgique 1844 and 1847. 13R. M. May, Simple mathematical models with very complicated dynamics Nature 261 (1976) 459–467.
Lorenz, E. N., Deterministic non-periodic flow, J. Atmos. Sci. 20 (1963) 130–141.
In: H.-O. Peitgen, H. Jürgens, D. Saupe, C. Zahlten, Fractals An Animated Discussion, Video film, Freeman 1990. Also appeared in German as Fraktale in Filmen und Gesprächen, Spektrum der Wissenschaften Videothek, Heidelberg, 1990.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer Science+Business Media New York
About this chapter
Cite this chapter
Peitgen, HO., Jürgens, H., Saupe, D. (1992). The Backbone of Fractals: Feedback and the Iterator. In: Chaos and Fractals. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4740-9_2
Download citation
DOI: https://doi.org/10.1007/978-1-4757-4740-9_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-4742-3
Online ISBN: 978-1-4757-4740-9
eBook Packages: Springer Book Archive