发表机构
University of Yaoundé I; University of Ngaoundéré; National Advanced School of Mines and Petroleum Industries, University of Maroua（雅温得第一大学; 恩加安德雷大学; 马里乌阿大学国家高等矿业和石油工业学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究在六维耗散光力学模型中，利用合成通量相位控制超混沌阶，通过Floquet-Lyapunov协议定位分岔，其匹配资源传感在混沌吸引子上无通量增强，且结果为模型级。
AI 中文摘要
在归一化的六维耗散光力学模型（一个腔+两个机械谐振器）中，合成通量相位Φ_syn可选择由驱动和耦合门控的超混沌转变的阶数——最多四个同时不稳定的李雅普诺夫方向，超出任何已报道的单模基准；而相同的匹配资源力传感协议在混沌吸引子上未产生通量诱导的增强。基于Muthukumar等人[PR Applied 24, 014053 (2025)]的拓扑结构，相位一致的Floquet-Lyapunov协议（通过单值乘数、耗散体积平衡和180次三种子集审核交叉验证）在E*=1.060（θ=0）处定位了一个Neimark-Sacker分岔。在弱耦合参考下，匹配的费舍尔增益最高达到1.32倍（通量关闭时）和1.16倍（单模时），蒙特卡洛中位数为1.039倍（90%置信区间[1.025,1.053]）；在混沌吸引子上，相同协议返回零结果（G_A/B=1.039±0.014）。截断Fock和截断Wigner检查支持选定点的平均场描述。超混沌分类和传感结果均严格为模型级：此处探索的强耦合区域比锚定的硅光机械耦合超出2542倍。缩小该差距需要测量的谐振器间跃迁J_m和固定的浴温。
英文摘要
Within a normalized six-dimensional model of dissipative optomechanics (one cavity + two mechanical resonators), a synthetic-flux phase $Φ_{\rm syn}$ 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 $\sumλ_i=\operatorname{Tr}(J)=-1.04$ and a 180-run three-seed audit) localizes the onset to a Neimark--Sacker bifurcation at $E^{*}=\num{1.060}$ ($θ=0$). As a secondary, model-level geometric clarification, the identical matched-resource force-sensing protocol returns a null gain on the chaotic attractor ($\mathcal{G}_{A/B}=\num{1.039}\pm\num{0.014}$), 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 $\num{2542}\times$ 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.
CommentsMain manuscript: 20 pages, 9 figures, 1 table. SI: 16 pages, 1 figure. Total: 36 pages, 10 figures, 1 table. Title updated to emphasize the primary result: synthetic-flux control of hyperchaos order, Neimark-Sacker bifurcation and full Lyapunov spectrum up to four positive exponents. The matched-resource sensing analysis is retained as a secondary geometric bound, matched-Fisher lemma
