AI 中文总结
该研究针对热电机械耦合忆阻MEMS谐振器，分析其非线性动力学，揭示温度等参数对磁滞与确定性混沌的调控机制，为神经形态传感等应用提供控制思路。
AI 中文摘要
我们研究了热电机械耦合忆阻谐振器的非线性动力学，该谐振器包含双端固支的欧拉-伯努利微梁、RLC电路以及具有温度依赖离子迁移率的TiO₂忆阻，其离子迁移率由莫特（Mott）和埃弗罗斯-什克洛夫斯基（Efros--Shklovskii）跳跃传导规律决定。通过二维参数空间图、分岔图、李雅普诺夫指数、重构吸引子、庞加莱截面、格拉斯伯格-普罗卡西亚关联维数分析、经验模态分解、希尔伯特-黄谱以及电忆阻磁滞特性对动力学进行分析。参数空间图显示，系统主要处于准周期和确定性混沌状态，无稳定的相位锁定周期态。分岔分析表明，梁长和激励频率通过频率比r_ω=ω₀/ω_b控制动力学行为，而激励电流主要决定振荡幅度和混沌强度。在固定工作条件下，渐近状态依赖于初始条件，补充诊断结果表明，热忆阻子系统是非线性复杂性的主要来源，该复杂性随后通过机电耦合传递至微梁。温度通过T→σ(T)→M(w,T)→i_m(t)→w(t)的链条持续重构电忆阻磁滞，磁滞面积随温度呈非单调演化，揭示了与构型相关的最优热忆阻工作点。这些发现表明，温度、梁长和电激励是互补的控制参数，可用于调控热活性MEMS中的热忆阻记忆、确定性混沌及非线性动力学，在神经形态传感和基于混沌的安全通信领域具有潜在应用。
英文摘要
We investigate the nonlinear dynamics of a thermo-electro-mechanically coupled memristive resonator comprising a doubly clamped Euler--Bernoulli microbeam, an RLC circuit, and a TiO$_2$ memristor with temperature-dependent ionic mobility governed by Mott and Efros--Shklovskii hopping conduction. The dynamics are analyzed using two-dimensional parameter-space maps, bifurcation diagrams, Lyapunov exponents, reconstructed attractors, Poincaré sections, Grassberger--Procaccia correlation-dimension analysis, empirical mode decomposition, the Hilbert--Huang spectrum, and electro-memristive hysteresis. Parameter-space maps reveal predominantly quasi-periodic and deterministic chaotic regimes without stable phase-locked periodic states. Bifurcation analyses show that the beam length and excitation frequency govern the dynamics through the frequency ratio $r_ω=ω_0/ω_b$, whereas the excitation current mainly controls the oscillation amplitude and chaotic intensity. Under fixed operating conditions, the asymptotic regime depends on the initial conditions, and complementary diagnostics identify the thermo-memristive subsystem as the primary source of the nonlinear complexity, subsequently transmitted to the microbeam through electromechanical coupling. Temperature continuously reorganizes the electro-memristive hysteresis through the chain $T \to σ(T) \to M(w,T) \to i_m(t) \to w(t)$. The hysteresis area evolves non-monotonically with temperature, revealing a configuration-dependent optimal thermo-memristive operating point. These findings highlight temperature, beam length, and electrical excitation as complementary control parameters for tailoring thermo-memristive memory, deterministic chaos, and nonlinear dynamics in thermo-active MEMS, with potential applications in neuromorphic sensing and chaos-based secure communication.
Comments18 pages, 13 figures
