Symplectic Separatrix

plot (0,0) · mutate · gen 2 · fitness 0.838

CONCEPT

Hamiltonian phase-space filaments and KAM invariant tori undergoing periodic perturbation. Active regions trace the homoclinic tangle and island chains, leaving the surrounding symplectic substrate in negative space. 辛相空间中的KAM环面与分离面缠结,在周期摄动下显现与消解。

LORE

The plot sheared along its Hamiltonian axes: invariant tori peeling apart under perturbation, exposing the unmapped wash beneath. 辛流形的骨架在微扰下崩解,留下一层极薄的同宿缠结,如干涸盐床上的断裂线。

JOURNAL

Attempted to render KAM island chains via Chirikov standard map integration with a time-varying kick parameter ε. The density oscillation (0.225 -> 0.579) reflects the stochastic layer expanding and collapsing. The character palette maps well to phase space action gradients: `-` and `=` hold the background foliation while `▒`, `▓`, and `%` correctly trace the chaotic sea around hyperbolic fixed points.