Abstract
There may be various different physical origins for the phenomenon called “fluctuation”. Here, however, we confine ourselves to those fluctuations for which the best possible description is a stochastic one. Furthermore, we are more concerned here with the new aspects which emerge only in open system.
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
L. Onsager: Phys. Rev. 37, 405 (1931)
L. Onsager: ibid. 38, 2265 (1931)
K. Tomita, H. Tomita: Phys. Letters 46A, 265 (1973)
K. Tomita, H. Tomita: Prog. Theor. Phys. 51, 1731 (1974)
K. Tomita, T. Ohta, H. Tomita: Prog. Theor. Phys. 52, 1744 (1974)
K. Tomita, H. Tomita: Prog. Theor. Phys. 52, 737 (1974)
K. Tomita, T. Todani, H. Kidachi: Phys. Letters 51A, 483 (1975)
K. Tomita, T. Todani, H. Kidachi: Physica 84A, 350 (1976)
K. Kishida, S. Kanemoto, T. Sekiya, K. Tomita: J. Nucl. Science and Technology 13, 161 (1976)
G. Matsumoto: J. Phvs. Soc. Japan 45, 1067, 2047 (1979)
I. Procaccia, D. Ronis, I. Oppenheim: Phys.Rev.Lett.42, 287 (1979)
E. N. Lorenz: J. Atmos. Sci. 20, 130 (1963)
D. Ruelle, F. Takens: Comm. Math. Phys. 20, 167 (1971)
D. Ruelle, F. Takens: ibid. 23, 343 (1971)
K. Tomita, T. Kai, F. Hikami: Prog. Theor. Phys. 57, 1159 (1977)
T. Kai, K. Tomita: Prog. Theor. Phys. 61, 54 (1979)
K. Tomita, T. Kai: Phys. Letters 66A, 91 (1978); J. Stat. Phys. in press.
K. Tomita, T. Kai: Prog. Theor. Phys. Supplement 64, 280 (1978)
R. A. Schmitz, K. R. Graziani, J. L. Hudson: J. Chem. Phys. 67, 3040 (1977)
O. E. Rössler, K. Wegmann: Nature 271, 89–90 (1978)
K. Wegmann, O. E. Rössler: Z. Naturforsch. 33a, 1179 (1978)
H. Yamazaki, Y. Oono, K. Hirakawa: J. Phys. Soc. Japan, to appear.
J. J. Tyson: J. Math. Biol. 5, 351 (1978)
K. Showalter, R. M. Noyes, K. Bar-Eli: J. Chem. Phvs. 69, 2514 (1978)
K. Tomita, A. Itō, T. Ohta: J. Theor. Biol. 68, 459 (1977)
K. Tomita, I. Tsuda: Phys. Letters in press.
T. Kai, K. Tomita: presented at the 34th Annual Meeting of Physical Society of Japan (April 2, 1979, Osaka) to be published.
R. L. Adler, A. G. Konheim, M. H. McAndrew, Trans. Am. Math. Soc. 114,309(1965)
R. Bowen, D. Ruelle: Inventiones math. 29, 181 (1975)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1979 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Tomita, K. (1979). Chaos and Its Description. In: Haken, H. (eds) Pattern Formation by Dynamic Systems and Pattern Recognition. Springer Series in Synergetics, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-67480-8_9
Download citation
DOI: https://doi.org/10.1007/978-3-642-67480-8_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-67482-2
Online ISBN: 978-3-642-67480-8
eBook Packages: Springer Book Archive