Switching it up: The secret survival strategy to life as revealed by mathematics

The seemingly unpredictable, and thereby uncontrollable, dynamics of living organisms have perplexed and fascinated ...
IEEE

A Neurodynamic Approach for Solving Time-Dependent Nonlinear Equation System: A Distributed Optimization Perspective

Abstract: During industrial smart manufacturing, many problems can be described as a time-dependent nonlinear equation system (TNES) that needs to be solved cooperatively due to large-scale ...
IEEE

A Nonlinear Noise-Resistant Zeroing Neural Network Model for Solving Time-Varying Quaternion Generalized Lyapunov Equation and Applications to Color Image Processing

Abstract: The time-varying Lyapunov equation (TVLE) plays a crucial role in control design and system stability. However, there has been limited research conducted on the time-varying generalized ...
Frontiers

A projection-based inverse kinematic model for extensible continuum robots and hyper-redundant robots with an elbow joint

Department of Mechanical Engineering and Transport Systems, Technical University, Berlin, Germany In recent years, the design and modeling of continuum robots (CRs) and hyper-redundant robots (HRRs) ...

AI techniques excel at solving complex equations in physics, especially inverse problems

Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...
Frontiers

Nonequilibrium and Nonlinear Processes in Collective Dynamical Phenomena, Volume II

Research on complex nonequilibrium processes and nonlinear dynamics has seen remarkable growth, revealing rich behavior across classical and quantum ...