🌌 Chaos Theory Explorer

Explore the fascinating world of chaos theory through entropy calculations and Feigenbaum's constants. This tool helps you understand how small changes can lead to dramatically different outcomes in complex systems.

🧮 Entropy Calculator

Calculate binary entropy to measure uncertainty and information content in probability distributions. Perfect for understanding information theory and data compression.

🔢 Feigenbaum's Constants

Discover the universal constants δ (delta) and α (alpha) that appear in the period-doubling bifurcations of chaotic systems. These constants are fundamental to understanding chaos.

🌀 Interactive Simulator

Visualize how small changes in initial conditions can lead to dramatically different outcomes. Watch the system evolve and observe the emergence of chaos.

🌌 Chaos Theory Explorer

Binary Entropy Calculator

0 (Certain) 1 (Certain)

Feigenbaum's Constants

Bifurcation rate constant

Scaling constant

These constants emerge from period-doubling bifurcations in nonlinear systems.

Chaos Simulator

Points: | Last point:

About This Calculator

The Chaos Theory Explorer lets you play with entropy, Feigenbaum's constants, and chaos simulations. See how tiny changes can lead to wildly different outcomes—perfect for students, teachers, and chaos enthusiasts.

How It Works

Frequently Asked Questions

What is entropy?

It measures uncertainty or disorder in a system.

Who is Feigenbaum?

Mitchell Feigenbaum discovered universal constants in chaos theory.

Can I export my simulation?

Yes, use the export button to save your diagram.

Is this for advanced users?

It's for all levels—explanations are included.