Prog. Theor. Phys. Vol. 79 No. 1 (1988) pp. 1-6

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Letters

Spectra of Singularities and Entropies for Local Expansion Rates

Takeshi Yoshida and Byon Chol So^*

Department of Physics, Kyushu University 33, Fukuoka 812
^*Faculty of Engineering, Kinki University, Kure 737-01

(Received September 18, 1987)

Abstract:

The characteristic relations between the spectrum of singularities and the entropy for local expansion rates are obtained through the examination of local dimensions for certain kinds of chaos in hyperbolic dynamical systems.

URL : http://ptp.ipap.jp/link?PTP/79/1/
DOI : 10.1143/PTP.79.1

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Citing Article(s) :

Progress of Theoretical Physics Vol. 79 No. 2 (1988) pp. 296-312 :
Spatial and Temporal Scaling Properties of Strange Attractors and Their Representations by Unstable Periodic Orbits

Terumitsu Morita, Hiroki Hata, Hazime Mori, Takehiko Horita and Koji Tomita
Progress of Theoretical Physics Vol. 80 No. 5 (1988) pp. 793-808 :
Local Structures of Chaotic Attractors and q-Phase Transitions at Attractor-Merging Crises in the Sine-Circle Maps

Takehiko Horita, Hiroki Hata, Hazime Mori, Terumitsu Morita, Koji Tomita, Shoichi Kuroki and Hisao Okamoto
Progress of Theoretical Physics Vol. 80 No. 6 (1988) pp. 923-928 :
Singular Local Structures of Chaotic Attractors Due to Collisions with Unstable Periodic Orbits in Two-Dimensional Maps

Takehiko Horita, Hiroki Hata, Hazime Mori Terumitsu Morita and Koji Tomita
Progress of Theoretical Physics Vol. 81 No. 1 (1989) pp. 11-16 :
Singular Local Structures of Chaotic Attractors and q-Phase Transitions of Spatial Scaling Structures

Hiroki Hata, Takehiko Horita, Hazime Mori, Terumitsu Morita and Koji Tomita
Progress of Theoretical Physics Vol. 82 No. 5 (1989) pp. 879-896 :
The q-Phase Transition and Critical Scaling Laws near the Band-Crisis Point of Chaotic Attractors

Takeshi Yoshida, Syuji Miyazaki, Hazime Mori, Tatsuharu Kobayashi, Takehiko Horita and Hiroki Hata
Progress of Theoretical Physics Supplement No.99 (1989) pp. 64-81 :
Global Bifurcations and Fluctuation Spectra of Local Expansion Rates in Nonlinear Dynamical Systems

Takeshi Yoshida and Syuji Miyazaki
Progress of Theoretical Physics Supplement No.99 (1989) pp. 82-94 :
“Thermodynamics”, Temporal Correlations and Scaling Laws

Hirokazu Fujisaka and Masayoshi Inoue