Abstract
In this chapter we shall deal with discrete noisy maps, which we got to know in the introduction. In the first sections of the present chapter we shall study in how far we can extend previous results on differential equations to such maps. In Sects. 7.7–7.9 we showed how the slaving principle can be extended. We are now going to show how an analog to the Fokker-Planck equation (Sect. 10.2–4) can be found. We shall then present a path-integral solution and show how the analog of solutions of time-dependent Fokker-Planck equations can be found.
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.
Bibliography
J. P. Crutchfield, B. A. Huberman: Phys. Lett. 77A, 407 (1980)
J. P. Crutchfield, M. Nauenberg, J. Rudnick: Phys. Rev. Lett. 46, 935 (1981)
B. Shraiman, C. E. Wayne, P. C. Martin: Phys. Rev. Lett. 46, 933 (1981)
G. Mayer-Kress, H. Haken: J. Stat. Phys. 26, 149 (1981)
H. Haken, G. Mayer-Kress: Z. Phys. B43, 185 (1981)
H. Haken: In Chaos and Order in Nature. Springer Ser. Synergetics, Vol. 11, ed. by H. Haken (Springer, Berlin, Heidelberg, New York 1981) p. 2
H. Haken, A. Wunderlin: Z. Phys. B46, 181 (1982)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1983 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Haken, H. (1983). Discrete Noisy Maps. In: Advanced Synergetics. Springer Series in Synergetics, vol 20. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45553-7_11
Download citation
DOI: https://doi.org/10.1007/978-3-642-45553-7_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-45555-1
Online ISBN: 978-3-642-45553-7
eBook Packages: Springer Book Archive