Near-Degenerate Reversible 1:2 Resonance and Sextic Crossover in a (2, 3, 5, 7) Carnot Geodesic Flow

Preprint and reproducibility package for a near-degenerate reversible 1:2 resonance in a reduced (2,3,5,7) Carnot geodesic flow. The work identifies a quartic near-degeneracy in a fixed reversible normal-form chart, promotion of the sixth-order Hamiltonian in a distinguished near-diagonal sector, two distinct periodic-orbit action scales, a direct quartic-sextic crossover, and residual elliptic period-two cycles at exact resonance. The results are supported by exact-return computations, multiprecision monodromy auditing, continuation in the crossover variable, action and Floquet measurements, and an independent fifth-order critical return-jet re-extraction. The exactly quartic-degenerate limit sigma = 0 and the associated Stokes/splitting problem are outside the scope of this version.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-18
DOI
https://doi.org/10.5281/zenodo.22834130
Primary Topic
Combustion and flame dynamics
Type
preprint
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preprint

Near-Degenerate Reversible 1:2 Resonance and Sextic Crossover in a (2, 3, 5, 7) Carnot Geodesic Flow

Gregorio Rozas Fernández
Zenodo (CERN European Organization for Nuclear Research)
Combustion and flame dynamics
preprint

Near-Degenerate Reversible 1:2 Resonance and Sextic Crossover in a (2, 3, 5, 7) Carnot Geodesic Flow

Gregorio Rozas Fernández
preprint en

Abstract

Preprint and reproducibility package for a near-degenerate reversible 1:2 resonance in a reduced (2,3,5,7) Carnot geodesic flow. The work identifies a quartic near-degeneracy in a fixed reversible normal-form chart, promotion of the sixth-order Hamiltonian in a distinguished near-diagonal sector, two distinct periodic-orbit action scales, a direct quartic-sextic crossover, and residual elliptic period-two cycles at exact resonance. The results are supported by exact-return computations, multiprecision monodromy auditing, continuation in the crossover variable, action and Floquet measurements, and an independent fifth-order critical return-jet re-extraction. The exactly quartic-degenerate limit sigma = 0 and the associated Stokes/splitting problem are outside the scope of this version.

Zenodo (CERN European Organization for Nuclear Research)
Combustion and flame dynamics
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