A MULTIMEDIA INTRODUCTION TO CHAOS

作者: Yih-Yuh Chen

DOI: 10.1016/0378-4371(95)00252-3

关键词: Dynamics (music)MathematicsCHAOS (operating system)Chaotic dynamical systemsMultimediaField (computer science)

摘要: Abstract With the advent of truly fast, but relatively inexpensive, personal computers, one can easily perform a desktop numerical experiment for some simplest chaotic dynamical systems, and view animated dynamics “on-the-fly”. When incorporated with sound effects, learning basic ideas behind seemingly complex behavior this way be an enjoyable experience. Here, we will give poor man's version how multimedia aid in one's understanding exploding field. Along way, also brief indication on possible connection between KAM theorem phyllotaxis, leaf arrangement, botany.

参考文章(12)
Henri Poincaré, New methods of celestial mechanics nmcm. ,(1967)
G.P. Bernasconi, Reaction-diffusion model for phyllotaxis Physica D: Nonlinear Phenomena. ,vol. 70, pp. 90- 99 ,(1994) , 10.1016/0167-2789(94)90058-2
G. J. Mitchison, Phyllotaxis and the fibonacci series. Science. ,vol. 196, pp. 270- 275 ,(1977) , 10.1126/SCIENCE.196.4287.270
D.W. Roberts, A chemical contact pressure model for phyllotaxis Journal of Theoretical Biology. ,vol. 108, pp. 481- 490 ,(1984) , 10.1016/S0022-5193(84)80074-0
Irving Adler, A model of contact pressure in phyllotaxis. Journal of Theoretical Biology. ,vol. 45, pp. 1- 79 ,(1974) , 10.1016/0022-5193(74)90043-5
Martin Duncan, Thomas Quinn, Scott Tremaine, The long-term evolution of orbits in the solar system: A mapping approach Icarus. ,vol. 82, pp. 402- 418 ,(1989) , 10.1016/0019-1035(89)90047-X
Paul A. Davis, An Analysis of the Atmospheric Heat Budget. Journal of the Atmospheric Sciences. ,vol. 20, pp. 5- 22 ,(1963) , 10.1175/1520-0469(1963)020<0005:AAOTAH>2.0.CO;2
J.N. Ridley, Packing efficiency in sunflower heads Mathematical Biosciences. ,vol. 58, pp. 129- 139 ,(1982) , 10.1016/0025-5564(82)90056-6
Roger V. Jean, Growth and entropy: Phylogenism in phyllotaxis Journal of Theoretical Biology. ,vol. 71, pp. 639- 660 ,(1978) , 10.1016/0022-5193(78)90329-6
J. H. M. THORNLEY, Phyllotaxis. I. A Mechanistic Model Annals of Botany. ,vol. 39, pp. 491- 507 ,(1975) , 10.1093/OXFORDJOURNALS.AOB.A084961