Chaos Synchronization — Master-Slave Lorenz

Two Lorenz systems (σ=10, ρ=28, β=8/3) coupled unidirectionally: the slave receives the master's x-signal. Above a critical coupling strength, the slave perfectly tracks the master despite both being chaotic. The synchronization error ‖x_m − x_s‖ decays exponentially when coupling κ exceeds the largest Lyapunov exponent (~0.9).

Sync Error
Master x
Slave x
Status
Master Slave