Henon Near-Crisis (a=1.43)

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iterated-mapsintermittent

What It Is

Henon map at a=1.43, b=0.3 --- just past the boundary crisis (~1.427) where the attractor has become a chaotic saddle: orbits stay chaotic for a long transient (~300 steps) then escape, so the emitted signal is a train of transient-chaos bursts separated by re-injection

Interpretation

Standard analysis sees: no strongly notable standard properties. The atlas additionally detects discrete-map sensitive dependence, Time Reversibility:ordinal_reversal_distance. It sits beside Henon Map in the atlas (standard-bank rank 29) — a neighbor conventional features miss.

What the atlas adds

discrete-map sensitive dependence+3.5z

deterministic chaos (positive λ_max, sensitive dependence)

names a discrete-map-scoped estimate, NOT chaos in general — continuous-flow chaos (Lorenz, Rössler) reads weak/neutral here despite being genuinely chaotic; spiky arithmetic sources can false-positive on the finite-time estimate

Time Reversibility:ordinal_reversal_distance+2.5z

time-reversal symmetry breaking via Bandt-Pompe ordinal patterns

Atlas-extreme metrics the standard bank can’t predict for this source

`Hölder Regularity:alpha_autocorrelation`	+3.3z	bank-miss 1.1σ
`Piecewise-Linear:envelope_area`	+2.8z	bank-miss 2.1σ
`Nonstationarity:dynamic_coupling`	+2.5z	bank-miss 2.2σ