Logarithmic Scale - Inituial conditions and lyapunov exponent bifurcation diagram

Описание: This video explores how the logarithmic scale reveals the hidden structure behind chaotic price behavior.
In a logarithmic view, every movement is measured by its proportional change, not its absolute value — exposing how each step in the market is a direct consequence of its initial conditions.

We use the bifurcation diagram as a visual key to decode how small variations at the origin can lead to vast differences in outcome.
Through this lens, the market stops looking random and starts behaving like a dynamic organism — evolving in rhythm with its own internal feedback.

By combining the principles of Lyapunov stability, fractal symmetry, and the logarithmic transformation, we uncover a deeper truth about price:
it doesn’t move in time — it creates time.
Each wave, each pattern, is a reflection of its own beginning — infinitely repeating, yet never the same.