複雜系統之簡介(梁鈞泰) - 中研院物理研究所- Academia Sinica

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Fractal dimension 度 fractal B. Mandelbrot (The fractal geometry of Nature, 1983) Stick length ( 度 ) l Coverage ( 數 ) N ~ 1/l D l=200 km l=100 km l=50 km 1 < D < 2 Most coastlines are fractal with dimension between 1 & 2
Sierpinski gasket is a fractal that you can make
Page 1 and 2: Introduction to Complex Systems
Page 3 and 4: What is a complex system ()? 來
Page 7 and 8: Brownian motion random walk Its tr
Page 9 and 10: Let us do some statistics: Although
Page 11 and 12: Power laws 數律 When two physi
Page 13: Dimension D ( 度 ) Two ways to def
Page 17 and 18: l = (1/2) n =2 -n N = 3 n we want t
Page 19 and 20: Koch curve () Exercise: Can you sho
Page 21 and 22: Self-similarity 切 Sierpinski g
Page 23 and 24: : Now you’ve learnt self-similari
Page 25 and 26: Steady diffusion Current through an
Page 27 and 28: If some sea animal is fed by taking
Page 29 and 30: Phase transitions Critical tempera
Page 31 and 32: Lattice-gas model of phase transiti
Page 33 and 34: A self-similar trajectory lacks cha
Page 35 and 36: Outline of talk • What is complex
Page 37 and 38: Sandpile as a paradigm of SOC Bak &
Page 48 and 49: Gutenberg-Richter law for earthquak
Page 50 and 51: Slip-size distribution in earthquak
Page 54 and 55: Locomotion and the water-repellent
Page 56 and 57: Focus on the legs • Short front l
Page 58 and 59: 1. Structure of legs Water dropet o
Page 60 and 61: Legs filled with air
Page 62 and 63: Hu et al videotaped striders at 500
Page 64 and 65:
Robo-strider 1 cm
Page 66 and 67:
Ancient “water striders” Excerp
Page 68:
Conclusion Main Ideas we want to ge
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複雜系統之簡介(梁鈞泰) - 中研院物理研究所- Academia Sinica

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