Nonextensive Statistical Mechanics

5.1 Low-Dimensional Dissipative Maps 159(t)(t)0 10 20 30 40 50 0 10 20 30 40 50100 4020Δx(0)=10 −12 Δx(0)=10 −1230Δx(0)=10q= 0.9 15−8q=0.9580 q=1Δx(0)=10 −10q=1Δx(0)=10 −62030 10Δx(0)=10 −6Δx(0)=10 −410560Δx(0)=10 −2000 10 20 30 40 50 20 0 10 20 30 40 50 q=1av40 slope λ 1~ 0.69q= 1 slope λ av 1~ 0.3820050 250 20 40 60 80Δx(0)=10 −12202140 15 q=0.36q=1Δx(0)=10 −8 010Δx(0)=10 −4530(a)q=0.24q= 1.1q=0.300300015 025 50 75 1000 10 20 30 40 50q=0.35q=0.3620avavslope λ 0.36~ 0.27slope λ100.35~ 0.27q=0.4010 (c)5 (d)q=0.45q=0.500 00 20 40 60 80 0 10 20 30 40 50tt1025201284(b)q=1.053Δx(0)=10 −122q=0.351 q=1q=0.25Δx(0)=10 −4 00 10 20 30 40 5005 10 15 20 0 10 20 30302020100020 130q=0.152R0.51.5150q=0.24120q = 1q0.5−0.50 10 20 30 4010 0.1 0.2 0.3 0.4 0.5q=0.36slope K av av0.36~ 0.27 slope Kq=0.40 100.35~ 0.2750 0slope K 1 av ~ 0.69(a)(c)Fig. 5.5 (continued).q=0.9q=1q=1.1q=0.601510010 20 30 05slope K 1av~ 0.38(b)(d)q=0.9q=1q=1.1q=0.2q=0.35q=0.5010 30 4020