Abstract
The type of chaos known as ‘on-off intermittency’ was discovered by Fujisaka and Yamada (1985) in the situation in which there exists a bifurcation from synchronous to asynchronous motion in a system of two coupled chaotic oscillators. With the elucidation of the geometric structure of this intermittent chaos due to Platt et al. (1993) and Ott and Sommerer (1994), the importance of this type of system has come to be recognized.
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.
References
Evans, D.J., Cohen, E.G.D., Morriss, G.P. (1990) Viscosity of a simple fluid from its maximal Lyapunov exponents. Phys. Rev. A 42, 5990–5997
Fujisaka, H., Yamada, T. (1985) A new intermittency in coupled dynamical systems. Prog. Theor. Phys. 74, 918–921
Fujisaka, H., Fukushima, K., Inoue, M., Yamada, T. (1996) Transformations in chaos and on-off intermittency. Butsuri 51, 813–820 (Japanese)
Hata, H. (1997) private communication
Hata, H., Miyazaki, S. (1997) Exactly solvable maps of on-off intermittency. Phys. Rev. E 55, 5311–5314
Hoover, W.G., Posch, H.A. (1994) Second-law irreversibility and phase-space dimensionality loss from time-reversible nonequilibrium steady-state Lyapunov spectra. Phys. Rev. E 49, 1913–1920
Ishizaki, R., Mori, H. (1997) Anomalous diffusion induced by external force in the standard map. Prog. Theor. Phys. 97, 201–211
Ott, E., Sommerer, J.C. (1994) Blowout bifurcations; the occurrence of riddled basins and on-off intermittency. Phys. Lett. A 188, 39–47
Piatt, N., Spiegel, E.A., Tresser, C. (1993) On-off intermittency; a mechanism for bursting. Phys. Rev. Lett. A 70, 279–282
Sarman, S., Evans, D.J., Morriss, G.P. (1992) Conjugate-pairing rule and thermal-transport coefficients. Phys. Rev. A 45, 2233–2242
Wang, X.-J. (1992) Dynamical sporadicity and anomalous diffusion in the Levy motion. Phys. Rev. A 45, 8407–8417
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Mori, H., Kuramoto, Y. (1998). On the Structure of Chaos. In: Dissipative Structures and Chaos. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-80376-5_14
Download citation
DOI: https://doi.org/10.1007/978-3-642-80376-5_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-80378-9
Online ISBN: 978-3-642-80376-5
eBook Packages: Springer Book Archive