complex systems physics - unibo.it...1 oooo 0 20 40 60 100 120 140 160 180200 720 giorno...
TRANSCRIPT
![Page 1: Complex Systems Physics - unibo.it...1 oooo 0 20 40 60 100 120 140 160 180200 720 giorno (dall'I/I/2020) ... Simple Self-Organized Local Relationships . 1.6 1.2 100 1000 Time (generations)](https://reader035.vdocuments.net/reader035/viewer/2022081620/611ca0fd315967139c71380e/html5/thumbnails/1.jpg)
Complex Systems Physics
![Page 2: Complex Systems Physics - unibo.it...1 oooo 0 20 40 60 100 120 140 160 180200 720 giorno (dall'I/I/2020) ... Simple Self-Organized Local Relationships . 1.6 1.2 100 1000 Time (generations)](https://reader035.vdocuments.net/reader035/viewer/2022081620/611ca0fd315967139c71380e/html5/thumbnails/2.jpg)
Emergence Phenomenon
![Page 3: Complex Systems Physics - unibo.it...1 oooo 0 20 40 60 100 120 140 160 180200 720 giorno (dall'I/I/2020) ... Simple Self-Organized Local Relationships . 1.6 1.2 100 1000 Time (generations)](https://reader035.vdocuments.net/reader035/viewer/2022081620/611ca0fd315967139c71380e/html5/thumbnails/3.jpg)
Complex Interaction Networks
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Epidemic Model for Covid-19
![Page 5: Complex Systems Physics - unibo.it...1 oooo 0 20 40 60 100 120 140 160 180200 720 giorno (dall'I/I/2020) ... Simple Self-Organized Local Relationships . 1.6 1.2 100 1000 Time (generations)](https://reader035.vdocuments.net/reader035/viewer/2022081620/611ca0fd315967139c71380e/html5/thumbnails/5.jpg)
Epidemic Model for Covid-19
![Page 6: Complex Systems Physics - unibo.it...1 oooo 0 20 40 60 100 120 140 160 180200 720 giorno (dall'I/I/2020) ... Simple Self-Organized Local Relationships . 1.6 1.2 100 1000 Time (generations)](https://reader035.vdocuments.net/reader035/viewer/2022081620/611ca0fd315967139c71380e/html5/thumbnails/6.jpg)
Adaptive Behaviour
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New Phase Transitions
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Fitness Potential landscape
![Page 9: Complex Systems Physics - unibo.it...1 oooo 0 20 40 60 100 120 140 160 180200 720 giorno (dall'I/I/2020) ... Simple Self-Organized Local Relationships . 1.6 1.2 100 1000 Time (generations)](https://reader035.vdocuments.net/reader035/viewer/2022081620/611ca0fd315967139c71380e/html5/thumbnails/9.jpg)
Fitness evolutionBacteria populations
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Resilience of Ecosystems
![Page 11: Complex Systems Physics - unibo.it...1 oooo 0 20 40 60 100 120 140 160 180200 720 giorno (dall'I/I/2020) ... Simple Self-Organized Local Relationships . 1.6 1.2 100 1000 Time (generations)](https://reader035.vdocuments.net/reader035/viewer/2022081620/611ca0fd315967139c71380e/html5/thumbnails/11.jpg)
Panic Phenomenon
![Page 12: Complex Systems Physics - unibo.it...1 oooo 0 20 40 60 100 120 140 160 180200 720 giorno (dall'I/I/2020) ... Simple Self-Organized Local Relationships . 1.6 1.2 100 1000 Time (generations)](https://reader035.vdocuments.net/reader035/viewer/2022081620/611ca0fd315967139c71380e/html5/thumbnails/12.jpg)
Decision Mechanism
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Double well emergent behavior
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Chaotic behavior
![Page 15: Complex Systems Physics - unibo.it...1 oooo 0 20 40 60 100 120 140 160 180200 720 giorno (dall'I/I/2020) ... Simple Self-Organized Local Relationships . 1.6 1.2 100 1000 Time (generations)](https://reader035.vdocuments.net/reader035/viewer/2022081620/611ca0fd315967139c71380e/html5/thumbnails/15.jpg)
Intermittency
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Kicked pendulum: standard map
Hamiltonian dynamics Dissipative dynamics
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Attractors
dissipativeStandard Map
![Page 18: Complex Systems Physics - unibo.it...1 oooo 0 20 40 60 100 120 140 160 180200 720 giorno (dall'I/I/2020) ... Simple Self-Organized Local Relationships . 1.6 1.2 100 1000 Time (generations)](https://reader035.vdocuments.net/reader035/viewer/2022081620/611ca0fd315967139c71380e/html5/thumbnails/18.jpg)
Non Linear Dynamical Systems: Van der Poloscillator
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Strange Attractors
![Page 20: Complex Systems Physics - unibo.it...1 oooo 0 20 40 60 100 120 140 160 180200 720 giorno (dall'I/I/2020) ... Simple Self-Organized Local Relationships . 1.6 1.2 100 1000 Time (generations)](https://reader035.vdocuments.net/reader035/viewer/2022081620/611ca0fd315967139c71380e/html5/thumbnails/20.jpg)
Neuron model: bifurcation
![Page 21: Complex Systems Physics - unibo.it...1 oooo 0 20 40 60 100 120 140 160 180200 720 giorno (dall'I/I/2020) ... Simple Self-Organized Local Relationships . 1.6 1.2 100 1000 Time (generations)](https://reader035.vdocuments.net/reader035/viewer/2022081620/611ca0fd315967139c71380e/html5/thumbnails/21.jpg)
Neuron Model
![Page 22: Complex Systems Physics - unibo.it...1 oooo 0 20 40 60 100 120 140 160 180200 720 giorno (dall'I/I/2020) ... Simple Self-Organized Local Relationships . 1.6 1.2 100 1000 Time (generations)](https://reader035.vdocuments.net/reader035/viewer/2022081620/611ca0fd315967139c71380e/html5/thumbnails/22.jpg)
Heartbeat model
![Page 23: Complex Systems Physics - unibo.it...1 oooo 0 20 40 60 100 120 140 160 180200 720 giorno (dall'I/I/2020) ... Simple Self-Organized Local Relationships . 1.6 1.2 100 1000 Time (generations)](https://reader035.vdocuments.net/reader035/viewer/2022081620/611ca0fd315967139c71380e/html5/thumbnails/23.jpg)
Arnold’s Cat Map
![Page 24: Complex Systems Physics - unibo.it...1 oooo 0 20 40 60 100 120 140 160 180200 720 giorno (dall'I/I/2020) ... Simple Self-Organized Local Relationships . 1.6 1.2 100 1000 Time (generations)](https://reader035.vdocuments.net/reader035/viewer/2022081620/611ca0fd315967139c71380e/html5/thumbnails/24.jpg)
Hyperbolic maps
2x(mod1)
3x(mod1)
![Page 25: Complex Systems Physics - unibo.it...1 oooo 0 20 40 60 100 120 140 160 180200 720 giorno (dall'I/I/2020) ... Simple Self-Organized Local Relationships . 1.6 1.2 100 1000 Time (generations)](https://reader035.vdocuments.net/reader035/viewer/2022081620/611ca0fd315967139c71380e/html5/thumbnails/25.jpg)
Random Walks
![Page 26: Complex Systems Physics - unibo.it...1 oooo 0 20 40 60 100 120 140 160 180200 720 giorno (dall'I/I/2020) ... Simple Self-Organized Local Relationships . 1.6 1.2 100 1000 Time (generations)](https://reader035.vdocuments.net/reader035/viewer/2022081620/611ca0fd315967139c71380e/html5/thumbnails/26.jpg)
Statistical properties of RW
average variance
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Average distance
![Page 28: Complex Systems Physics - unibo.it...1 oooo 0 20 40 60 100 120 140 160 180200 720 giorno (dall'I/I/2020) ... Simple Self-Organized Local Relationships . 1.6 1.2 100 1000 Time (generations)](https://reader035.vdocuments.net/reader035/viewer/2022081620/611ca0fd315967139c71380e/html5/thumbnails/28.jpg)
Non Homogeneous random walk with zero mean value
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Therophoresis model: random walk
![Page 30: Complex Systems Physics - unibo.it...1 oooo 0 20 40 60 100 120 140 160 180200 720 giorno (dall'I/I/2020) ... Simple Self-Organized Local Relationships . 1.6 1.2 100 1000 Time (generations)](https://reader035.vdocuments.net/reader035/viewer/2022081620/611ca0fd315967139c71380e/html5/thumbnails/30.jpg)
Therophoresis model: distribution
X
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Earthquake energy distribution
![Page 32: Complex Systems Physics - unibo.it...1 oooo 0 20 40 60 100 120 140 160 180200 720 giorno (dall'I/I/2020) ... Simple Self-Organized Local Relationships . 1.6 1.2 100 1000 Time (generations)](https://reader035.vdocuments.net/reader035/viewer/2022081620/611ca0fd315967139c71380e/html5/thumbnails/32.jpg)
Avalanche dimension distribution
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Sentimental model