Article

Biorthogonal Covariance Amplification Near the Breathing Threshold of Dissipative Kerr Solitons

2026-07-21

Abstract excerpt

<title>Abstract</title> <p>A linearly stable dissipative Kerr soliton can be substantially more sensitive to stochastic forcing than its eigenvalues alone imply. We quantify this effect by combining phase-fixed Lyapunov covariance with the biorthogonal geometry of the critical Hopf mode. For the spatial Lugiato–Lefever equation, the stationary soliton loses stability through a complex pair at Fc = 3.15194 and ang...

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Literature Corpus work: c8bb6e94-3e95-516c-9c55-d4196ffba365
DOI: 10.21203/rs.3.rs-10395578/v1

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