Prog. Theor. Phys. Vol. 83 No. 6 (1990) pp. 1065-1070

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Letters

Long-Time Correlations and Expansion-Rate Spectra of Chaos in Hamiltonian Systems

Takehiko Horita, Hiroki Hata, Ryuji Ishizaki and Hazime Mori

Department of Physics, Kyushu University 33, Fukuoka 812

(Received February 5, 1990)

Abstract:

The repeated sticking of a chaotic orbit to critical tori with an inverse-power distribution of sticking times is shown to produce a universal spectrum of expansion rates Λ of nearby orbits with a linearity with zero slope for 0<Λ<Λ^∞ (=Liapunov number), representing the intermittent switching between chaotic sea and chaos border.

URL : http://ptp.ipap.jp/link?PTP/83/1065/
DOI : 10.1143/PTP.83.1065

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Citing Article(s) :

Progress of Theoretical Physics Vol. 84 No. 2 (1990) pp. 179-184 :
Long-Time Correlations and Anomalous Diffusion Due to Accelerator Modes in the Standard Maps

Ryuji Ishizaki, Hiroki Hata, Takehiko Horita and Hazime Mori
Progress of Theoretical Physics Vol. 85 No. 4 (1991) pp. 687-691 :
Advective Diffusion of Particles in Rayleigh-Bénard Convection

Katsuya Ouchi, Nobuyuki Mori, Takehiko Horita and Hazime Mori
Progress of Theoretical Physics Vol. 85 No. 5 (1991) pp. 1013-1022 :
Anomalous Diffusion Due to Accelerator Modes in the Standard Map

Ryuji Ishizaki, Takehiko Horita, Tatsuharu Kobayashi and Hazime Mori
Progress of Theoretical Physics Vol. 88 No. 3 (1992) pp. 467-484 :
Anomalous Diffusion and Mixing in an Oscillating Rayleigh-Bénard Flow

Katsuya Ouchi 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. 97 No. 2 (1997) pp. 201-211 :
Anomalous Diffusion Induced by External Force in the Standard Map

Ryuji Ishizaki and Hazime Mori
Progress of Theoretical Physics Vol. 100 No. 6 (1998) pp. 1131-1144 :
Anomalous Diffusion Induced by External Force in the Standard Map. II

Ryuji Ishizaki and Hazime Mori