Theoretical Insights into 1:2 and 1:3 Internal Resonance for Frequency Stabilization in Nonlinear Micromechanical Resonators

Physics, Mechanics, Engineering, Mechanical Engineering,
internal resonance   micromechanical resonator   MEMS resonator   frequency stabilization   amplitude-frequency effect   Duffing hardening nonlinearity  

Research on Internal Resonance Mechanisms in Micromechanical Resonators and Their Application in Frequency Stabilization Background Introduction Micromechanical resonators play a crucial role in modern timekeeping and sensing devices due to their high frequency, high quality factor, and high sensitivity. However, the extremely low damping character...

Secure Finite-Time Filtering for Switched Fuzzy Systems with Scaling Attacks and Stochastic Sensor Faults

Engineering, Electrical Engineering, Information Science, Automation,
Switched systems   Mixed H∞ and passivity filter   Takagi-Sugeno fuzzy model   Finite-time analysis   Average dwell-time   Scaling attacks  

Research on Secure Finite-Time Filter Design for Switched Fuzzy Systems Academic Background In modern control systems, switched systems and fuzzy systems have garnered significant attention due to their effectiveness in handling complex nonlinear dynamics. However, with the proliferation of networked systems, these systems face threats from sensor ...

Stochastic Response Spectrum Determination of Nonlinear Systems Endowed with Fractional Derivative Elements

Physics, Mechanics, Engineering, Mechanical Engineering, Architecture and Civil Engineering,
nonlinear vibrations   fractional derivatives   statistical linearization   stochastic averaging   stationary responses   conditional power spectrum  

Stochastic Response Spectrum Study of Nonlinear Systems: Introduction and Analysis Methods of Fractional Derivative Elements Academic Background In the fields of engineering and physics, nonlinear dynamic systems are widely used to model complex phenomena. However, predicting the response of these systems under stochastic excitation becomes highly ...

Nonlinear Displacement Control and Force Estimation in a Piezoelectric Robotic Manipulator

Physics, Mechanics, Engineering, Mechanical Engineering, Electrical Engineering, Information Science, Automation,
piezoelectric manipulator   nonlinear control   force estimation   viscoelastic deformation   robotic systems  

Academic Background In the fields of engineering and materials science, precise control of robotic manipulator displacement and force is crucial for studying the mechanical properties of materials, especially when dealing with objects exhibiting nonlinear viscoelastic deformation. For instance, in textiles, aerospace, medical, and energy production...

Chirality-Driven Collective Dynamics in Oscillators with Attractive and Repulsive Couplings

Physics, Mechanics, Engineering,
chirality   collective dynamics   coupled systems   synchronization   oscillation death  

Background Introduction Complex systems are ubiquitous in nature, appearing in various forms such as neural networks, social networks, and power grids. Understanding the dynamical transitions within these systems is often achieved through mathematical models, particularly coupled nonlinear oscillators, which exhibit a wide variety of collective beh...