Simulations Lab page
In occasione della Notte dei Ricercatori 2008 abbiamo preparato una pagina speciale contenente delle simulazioni su Caos e Sistemi Complessi commentate in italiano. Cliccate QUI' o sul banner a sinistra se volete dargli un'occhiata... 


Note: The applets presented in this page require Java Runtime Environment (Java 1.4.1 or higher). It will not run on Windows 95 or Mac OS 8 or 9. Mac users must have OS X 10.2.6 or higher and use a browser that supports Java 1.4. (Safari works, IE does not. Mac OS X comes with Safari. Open Safari and set it as your default web browser under Safari/Preferences/General.) On other operating systems, or if the simulations do not start, you may obtain the latest Java plugin from Sun's Java site. 

Play with these Java applets dedicated to long range models, in particular the Hamiltonian Mean field model, a fully coupled system of inertial rotators showing a complex dynamics due to the longrange nature of the interaction, and to many other topics, among which Conservative and Dissipative Dynamical Systems, Coupled Maps, Electronic Detectors, Complex Networks, Synchronization of Coupled Oscillators, Sociophysics, Neural Networks, etc...  
A common features shared by many complex systems is the long range nature of the interaction among their elements. In order to show as such a feature could be crucial for the emergence of a cooperative behavior from a caotic one, let us to start with an unusual example of system with variable range of interaction: clicking on the right you can play with an imaginary flock where the radius of interaction among birds can be varied by the user... have fun!:) 

HMF Model  Dynamics on Unit Circle 
HMF Model  Dynamics in Phase Spase 

HMF Model  Canonical Monte Carlo 
HMF Model  Contour Plot in Phase Spase 

Kuramoto Model 
Kuramoto Model in Phase Space 

Kuramoto Model  Phase Diagram 
Kuramoto Model  Largest Lyapunov Exponent 

Conservative Pendulum 
Driven Damped Pendulum 

HenonHeiles Hamiltonian 
Cat Map 

Logistic Map and Bifurcation Diagram 
Lyapunov Exponent of Logistic Map 

ZLogistic Map 
Kaneko Coupled Logistic Maps with Noise 

qEntropy and Bifurcations in Quadratic Map 
Entropy Growth of N Standard Maps 

Phase Space of N Standard Maps 
Attractors and Bifurcations in Henon Maps 

Logistic Map vs Logistic Equation 
Correlation Dimension in Logistic Map 

Correlation Dimension in Henon Map 
Multifractal Dimension in Cantor Set 

Community Structures on Complex Networks 
Community Structures on Test Networks 

Epidemics on Complex Networks 
Create your Network 

Opinion Changing Rate Model 
SznajdWeron Opinion Dynamics 

Hegselmann and Krause Opinion Dynamics 
Hegselmann and Krause 2D 

Perceptron (Artificial Neuron) 
Hopfield Associative Memory 

OFC Model of Earthquakes Activity 
Photons Beam Electronic Detector 