Dominance of Milnor Attractors and Noise-Induced Selection in a Multiattractor System
作者： Kunihiko Kaneko
DOI: 10.1103/PHYSREVLETT.78.2736
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摘要: In a multiattractor state of globally coupled dynamical system, stability the attractors is studied by recording return rates to themselves after perturbations. Besides basin volume, are characterized strength, defined as threshold perturbation for full rate. It observed that Milnor with vanishing strength dominant in partially ordered phase. Attractions weak found be often enhanced addition noise, selectively its amplitude. [S0031-9007(97)02844-5]
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sci-hub.se 参考文章(14)
Celso Grebogi, Edward Ott, James A. Yorke, Fractal Basin Boundaries, Long-Lived Chaotic Transients, And Unstable-Unstable Pair Bifurcation Physical Review Letters. ,vol. 50, pp. 935- 938 ,(1983) , 10.1103/PHYSREVLETT.50.935
S. Takesue, K. Kaneko, Fractal Basin Structure Progress of Theoretical Physics. ,vol. 71, pp. 35- 49 ,(1984) , 10.1143/PTP.71.35
John Milnor, On the Concept of Attractor Communications in Mathematical Physics. ,vol. 99, pp. 177- 195 ,(1985) , 10.1007/BF01212280
Peter Ashwin, Jorge Buescu, Ian Stewart, From attractor to chaotic saddle: a tale of transverse instability Nonlinearity. ,vol. 9, pp. 703- 737 ,(1996) , 10.1088/0951-7715/9/3/006
K Kaneko, Partition complexity in a network of chaotic elements Journal of Physics A. ,vol. 24, pp. 2107- 2119 ,(1991) , 10.1088/0305-4470/24/9/020
A. Crisanti, M. Falcioni, A. Vulpiani, Broken Ergodicity and Glassy Behavior in a Deterministic Chaotic Map Physical Review Letters. ,vol. 76, pp. 612- 615 ,(1996) , 10.1103/PHYSREVLETT.76.612
John C. Sommerer, Edward Ott, A physical system with qualitatively uncertain dynamics Nature. ,vol. 365, pp. 138- 140 ,(1993) , 10.1038/365138A0
Edward Ott, John C. Sommerer, James C. Alexander, Ittai Kan, James A. Yorke, Scaling behavior of chaotic systems with riddled basins. Physical Review Letters. ,vol. 71, pp. 4134- 4137 ,(1993) , 10.1103/PHYSREVLETT.71.4134
Ying-Cheng Lai, Celso Grebogi, Characterizing riddled fractal sets Physical Review E. ,vol. 53, pp. 1371- 1374 ,(1996) , 10.1103/PHYSREVE.53.1371
Ichiro Tsuda, Chaotic itinerancy as a dynamical basis of hermeneutics in brain and mind World Futures. ,vol. 32, pp. 167- 184 ,(1991) , 10.1080/02604027.1991.9972257