On the role played by the work of Ulisse Dini on implicit function theory in the modern differential geometry foundations: the case of the structure of a differentiable manifold, 1 [PDF]
In this first paper we outline what possible historic-epistemological role might have played the work of Ulisse Dini on implicit function theory in formulating the structure of differentiable manifold, via the basic work of Hassler Whitney.
Iurato, Giuseppe
core
Geometric Discretization of Lagrangian Mechanics and Field Theories [PDF]
This thesis presents a unified framework for geometric discretization of highly oscillatory mechanics and classical field theories, based on Lagrangian variational principles and discrete differential forms. For highly oscillatory problems in mechanics,
Stern, Ari Joshua
core +1 more source
A soft robotic simulator is developed to replicate the digital removal of feces (DRF), a sensitive yet essential nursing procedure. Integrating soft actuators, sensors, and a realistic rectal model, the simulator balances functional fidelity with perceptual realism. Engineering evaluations and nurse feedback confirm its potential to enhance training in
Shoko Miyagawa +10 more
wiley +1 more source
On the Strong Approximation of Jump-Diffusion Processes [PDF]
In financial modelling, filtering and other areas the underlying dynamics are often specified via stochastic differential equations (SDEs) of jump-diffusion type.
Nicola Bruti-Liberati, Eckhard Platen
core
Remote Control of Hand Actuators via Glove Sensors for Medical Care Applications
This study presents a novel textile‐based sensory glove–actuator system for remote medical care, explored through finite element simulations. By integrating capacitive sensors, pneumatic actuators, and machine learning, the system models real‐time hand movement control.
Bahman Taherkhani, Mahdi Bodaghi
wiley +1 more source
Continuous Dependence for an Implicit Nonlinear Equation
Consider the following problem: (1) \(v'(t)+ w(t)+ C(t)u(t)= f(t)\) for a.e. \(t\in (0,T)\), (2) \(v(t)\in A(t)u(t)\), \(w(t)\in B(t)u(t)\) for a.e. \(t\in (0,T)\), (3) \(v(0)= v_ 0\), where \(A(t)\) and \(B(t)\) are maximal monotone and linearly bounded operators in a real Hilbert space \(V\) and \(A(t)+ B(t)\) is \(V\)-coercive.
openaire +1 more source
Learning Highly Dynamic Skills Transition for Quadruped Jumping Through Constrained Space
A quadruped robot masters dynamic jumps through constrained spaces with animal‐inspired moves and intelligent vision control. This hierarchical learning approach combines imitation of biological agility with real‐time trajectory planning. Although legged animals are capable of performing explosive motions while traversing confined spaces, replicating ...
Zeren Luo +6 more
wiley +1 more source
Regularity And Selecting Principles For Implicit Ordinary Differential Equations
Implicit Ordinary or Partial Differential Equations have been widely studied in recent times, essentially from the existence of solutions point of view. One of the main issues is to select a meaningful solution among the infinitely many ones.
Dacorogna, Bernard, Ferriero, Alessandro
core +1 more source
Almost sure exponential stability of numerical solutions for stochastic delay differential equations
Using techniques based on the continuous and discrete semimartingale convergence theorems, this paper investigates if numerical methods may reproduce the almost sure exponential stability of the exact solutions to stochastic delay differential equations (
Szpruch, Lukasz, Wu, Fuke, Mao, Xuerong
core +1 more source
Information Transmission Strategies for Self‐Organized Robotic Aggregation
In this review, we discuss how information transmission influences the neighbor‐based self‐organized aggregation of swarm robots. We focus specifically on local interactions regarding information transfer and categorize previous studies based on the functions of the information exchanged.
Shu Leng +5 more
wiley +1 more source

