Model-level synthetic-flux control of hyperchaos order and matched-resource sensing in dissipative optomechanics
Abstract
Within a normalized six-dimensional model of dissipative optomechanics (one cavity + two mechanical resonators), a synthetic-flux phase Φsyn acts as a reproducible control coordinate that selects the \emph{order} of a drive- and coupling-gated hyperchaos transition---up to four simultaneously positive Lyapunov exponents, beyond any reported single-mode benchmark. A phase-consistent Floquet--Lyapunov protocol (cross-checked by monodromy multipliers, dissipative volume balance ∑λi=Tr(J)=−1.04 and a 180-run three-seed audit) localizes the onset to a Neimark--Sacker bifurcation at E*=num1.060 (θ=0). As a secondary, model-level geometric clarification, the identical matched-resource force-sensing protocol returns a null gain on the chaotic attractor (𝒢A/B=num1.039±num0.014), consistent with the matched-Fisher lemma: noise projected onto an unstable manifold is stretched by the same factor eλt as the deterministic signal. Truncated-Fock and truncated-Wigner checks support the mean-field description at selected points. All results remain strictly model-level: the strong-coupling sector lies num2542× beyond anchored silicon optomechanical couplings. Closing that gap requires ultrasonic characterization of the mechanical degeneracy ω2, a measured inter-resonator hopping Jm, and the emergence of a genuine gigahertz platform.
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BibTeX
@misc{tchounda2026modellevel,
title = {{Model-level synthetic-flux control of hyperchaos order and matched-resource sensing in dissipative optomechanics}},
author = {Stella Rolande Mbokop Tchounda and Carolle Tchodimou and Philippe Djorwe and Sifeu Takougang Kingni and Serge Guy Nana Engo},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.02827},
eprint = {2609.02827},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.02827},
}
RIS
TY - UNPB
TI - Model-level synthetic-flux control of hyperchaos order and matched-resource sensing in dissipative optomechanics
AU - Stella Rolande Mbokop Tchounda
AU - Carolle Tchodimou
AU - Philippe Djorwe
AU - Sifeu Takougang Kingni
AU - Serge Guy Nana Engo
PY - 2026
DA - 2026/09/03
PB - arXiv
DO - 10.48550/arxiv.2609.02827
UR - https://arxiv.org/abs/2609.02827
AB - Within a normalized six-dimensional model of dissipative optomechanics (one cavity + two mechanical resonators), a synthetic-flux phase Φ_syn acts as a reproducible control coordinate that selects the \emph{order} of a drive- and coupling-gated hyperchaos transition---up to four simultaneously positive Lyapunov exponents, beyond any reported single-mode benchmark. A phase-consistent Floquet--Lyapunov protocol (cross-checked by monodromy multipliers, dissipative volume balance ∑λ_i=Tr(J)=−1.04 and a 180-run three-seed audit) localizes the onset to a Neimark--Sacker bifurcation at E^*=num1.060 (θ=0). As a secondary, model-level geometric clarification, the identical matched-resource force-sensing protocol returns a null gain on the chaotic attractor (𝒢_A/B=num1.039±num0.014), consistent with the matched-Fisher lemma: noise projected onto an unstable manifold is stretched by the same factor e^λt as the deterministic signal. Truncated-Fock and truncated-Wigner checks support the mean-field description at selected points. All results remain strictly model-level: the strong-coupling sector lies num2542× beyond anchored silicon optomechanical couplings. Closing that gap requires ultrasonic characterization of the mechanical degeneracy ω_2, a measured inter-resonator hopping J_m, and the emergence of a genuine gigahertz platform.
ER -