Prog. Theor. Phys. Vol. 81 No. 1 (1989) pp. 1-6

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Letters

Classification of Collisions of Chaotic Attractors with Unstable Periodic Orbits in Terms of the q-Phase Transitions

Koji Tomita, Hiroki Hata, Takehiko Horita, Hazime Mori and Terumitsu Morita

Department of Physics, Kyushu University 33, Fukuoka 812

(Received July 8, 1988)

Abstract:

Collisions of chaotic attractors with unstable periodic orbits are classified into three types in terms of the q-phase transition just before the collisions; (1) the type with transition point q_β < 1/2, (2) the type which causes no q-phase transition, (3) the type with transition point 2 > q_β > 1.

URL : http://ptp.ipap.jp/link?PTP/81/1/
DOI : 10.1143/PTP.81.1

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Citing Article(s) :

Progress of Theoretical Physics Vol. 81 No. 1 (1989) pp. 60-77 :
Scaling Structures and Statistical Mechanics of Type I Intermittent Chaos

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Progress of Theoretical Physics Vol. 81 No. 6 (1989) pp. 1124-1134 :
q-Phase Transitions in Chaotic Attractors of Differential Equations at Bifurcation Points

Koji Tomita, Hiroki Hata, Takehiko Horita, Hazime Mori, Terumitsu Morita, Hisao Okamoto and Hirotaka Tominaga
Progress of Theoretical Physics Vol. 83 No. 4 (1990) pp. 649-654 :
q-Phase Transitions and Dynamic Scaling Laws at Attractor-Merging Crises in the Driven Damped Pendulum

Toru Murayama, Hirotaka Tominaga, Hazime Mori, Hiroki Hata and Takehiko Horita
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
Progress of Theoretical Physics Supplement No.99 (1989) pp. 1-63 :
Statistical Mechanics of Dynamical Systems

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

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