Anxiety Disorder Identification with Biomarker Detection through Subspace-Enhanced Hypergraph Neural Network

Anxiety Disorder Identification with Biomarker Detection through Subspace-Enhanced Hypergraph Neural Network

Anxiety Disorder Identification and Biomarker Detection Based on Subspace-Enhanced Hypergraph Neural Network Academic Background Anxiety Disorders (ADs) are prevalent mental health issues globally, affecting approximately 7.3% of the population. Patients with anxiety disorders typically exhibit excessive fear, worry, and related behavioral abnormal...

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

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

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

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 ...

Research on the Lowest Cost to Calculate the Lyapunov Exponents from Fractional Differential Equations

Background Introduction Fractional Differential Equations (FDEs) extend traditional calculus by allowing derivatives and integrals of non-integer orders. This mathematical framework exhibits unique advantages in describing complex dynamical behaviors, particularly in the study of chaotic and nonlinear systems. Lyapunov Exponents (LEs) are critical ...

Nonlinear Displacement Control and Force Estimation in a Piezoelectric Robotic Manipulator

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

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...

Hierarchical Non-Singular Terminal Sliding Mode Control for Constrained Under-Actuated Nonlinear Systems Against Sensor Faults

Background Introduction In modern engineering practices, under-actuated systems are widely used in fields such as overhead cranes, wheeled inverted pendulums, and snake robots due to their simple structure, low energy consumption, and high flexibility. However, the number of control inputs in under-actuated systems is less than the degrees of freed...

The Coupling Vibration Mechanism of Bearing Installation Misalignment and Rub-Impact in Supercritical Shaft Systems

Academic Background With the increasing demand for high-speed and lightweight design in the aviation industry, more and more aviation transmission shaft systems have adopted supercritical design. Supercritical design means that the drive shaft must cross its first critical speed, but when crossing the critical speed, the shaft system will produce s...

Fixed-Time Observation and Control for Network Systems: A Distributed Event-Based Saturation Adaptive Method

Academic Background Complex Networks (CNs) play a crucial role in fields such as sociology, engineering, and natural sciences, and are widely applied in scenarios like power distribution, traffic dispatching, and multi-agent collaboration. However, due to factors such as communication packet loss, sensor noise, and environmental uncertainties, obta...