Prog. Theor. Phys. Vol. 85 No. 6 (1991) pp. 1143-1148

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Letters

Energy Dissipation and Its Fluctuations in Chaotic Dynamical Systems

Hazime Mori, Hisao Okamoto^* and Hirotaka Tominaga^*

Faculty of Engineering, Kyushu Kyoritsu University, Kitakyushu 807
^*Department of Physics, Kyushu University 33, Fukuoka 812

(Received January 14, 1991)

Abstract:

The spectrum of the fluctuations of the energy dissipation rate is found to exhibit remarkable changes at bifurcations of chaos such as the band merging crisis. The energy dissipation decreases as chaos develpes. A truncated dissipation rate for the Poincaré map is shown to reproduce the qualitative features of energy dissipation.

URL : http://ptp.ipap.jp/link?PTP/85/1143/
DOI : 10.1143/PTP.85.1143

References:

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Citing Article(s) :

Progress of Theoretical Physics Vol. 86 No. 2 (1991) pp. 355-369 :
Crossover of the f(α) Spectra between Critical and Chaotic Regime, and Universal Critical Scaling Laws for Two-Dimensional Fractality

Hirotaka Tominaga and Hazime Mori
Progress of Theoretical Physics Vol. 89 No. 5 (1993) pp. 947-963 :
Anomalous Diffusion and Mixing of Chaotic Orbits in Hamiltonian Dynamical Systems

Ryuji Ishizaki, Takehiko Horita and Hazime Mori
Progress of Theoretical Physics Vol. 91 No. 4 (1994) pp. 677-692 :
On the Linear Slopes in the Expansion-Rate Spectra of Chaos

Takehiko Horita and Hazime Mori