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 long-range 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
Henon-Heiles Hamiltonian
Cat Map
Logistic Map and Bifurcation Diagram
Lyapunov Exponent of Logistic Map
Z-Logistic Map
Kaneko Coupled Logistic Maps with Noise
q-Entropy 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

Sznajd-Weron 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