Bifurcations and Intermittency in Coupled Dissipative Kicked Rotors

Jin Yan

correcthigh confidence

Category: math.DS
Journal tier: Strong Field
Processed: Sep 28, 2025, 12:56 AM
arXiv Links: Abstract ↗PDF ↗

Audit review

The paper derives the same stability boundary K0 = 2(1+γ) − 4J via DFT linearization and shows the first crossing at λ = −1 in the w = π mode, yielding a spatial period‑2, temporal period‑2 alternating state with 2θ* = p*; for the single rotor it gives K_fold,n = ±2π n (1−γ) and K_PD,n = ± 2 sqrt((1+γ)^2 + (1−γ)^2 n^2 π^2). The candidate solution reproduces exactly these formulas with an essentially identical linearization and spectral argument (using Jury/Schur conditions). No substantive discrepancies were found.

Referee report (LaTeX)

\textbf{Recommendation:} minor revisions

\textbf{Journal Tier:} strong field

\textbf{Justification:}

Technically sound derivations link single-rotor bifurcations to emergent spatial patterns in the coupled map. The onset curve and mode selection are analytically established and corroborated numerically. The work should be accessible and valuable to researchers of coupled map lattices and driven-dissipative arrays. Minor clarifications on assumptions (parity of N, parameter signs) and a concise summary of key thresholds would further strengthen the presentation.