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On forward and inverse uncertainty quantification for a model for a magneto mechanical device involving a hysteresis operator
Modeling real world objects and processes one may have to deal with hysteresis effects but also with uncertainties. Following D. Davino, P. Krejčí,...
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Blowup Analysis of a Hysteresis Model Based Upon Singular Perturbations
In this paper, we provide a geometric analysis of a new hysteresis model that is based upon singular perturbations. Here hysteresis refers to a type...
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Bang–Bang Control of a Prey–Predator Model with a Stable Food Stock and Hysteresis
A nonlinear partial differential control system is considered. This system arises, for instance, when modeling the evolution of populations in the...
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Continuity of the non-convex play operator in the space of rectifiable curves
We prove that the vector play operator with a uniformly prox-regular characteristic set of constraints is continuous with respect to the BV -norm and...
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Optimization of a Prey–Predator Model with Hysteresis and Convection
A nonconvex optimal control problem for a partial differential system is proposed and analyzed. Our nonlinear control system can be interpreted in...
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Inverse rate-dependent Prandtl-Ishlinskii operators and applications
In the past years, we observed an increased interest in rate-dependent hysteresis models to characterize complex time-dependent nonlinearities in...
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Determination of Thermal Properties of Gold in the Region of Melting–Crystallization Phase Transition: Molecular Dynamics Approach
AbstractMolecular dynamics (MD) modeling of the thermophysical properties of pure metallic gold (Au) and hysteresis is considered in order to study...
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Hybrid modeling: towards the next level of scientific computing in engineering
The integration of machine learning (Keplerian paradigm) and more general artificial intelligence technologies with physical modeling based on first...
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Control and Controllability of PDEs with Hysteresis
A controllability problem for a diffusion equation with a complex hysteresis operator is proposed here and consists in finding a control which...
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A Reader’s Comment on: “Hysteresis Model of Unconscious-Conscious Interconnection: Exploring Dynamics on m-Adic Trees”
This comment is aimed to point out that the recent work due to H. Kim, J-Y. Moon, G. A. Mashour and U. Lee ([22]), in which the clinical and...
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Modeling of Electro-Hydraulic Servo-Drive for Advanced Control System Design
The paper describes the synthesis of a mathematical model of the electro-hydraulic servo-drive. Because of the complexity of the electro-hydraulic...
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Modeling the p53-Mdm2 Dynamics Triggered by DNA Damage
In this paper, a p53-Mdm2 network model with Michaelis–Menten function involved in DNA damage repair is studied by using the dynamical system...
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Tuning mechanical behaviors of highly entangled hydrogels with the random distribution of mobile entanglements
Highly entangled hydrogels exhibit excellent mechanical properties, including high toughness, high stretchability, and low hysteresis. By considering...
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Nonlinear Dynamics in an SIR Model with Ratio-Dependent Incidence and Holling Type III Treatment Rate Functions
This article proposes and analyzes a Susceptible-Infective-Recovered (SIR) infectious disease model. Here we consider a ratio-dependent incidence...
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Modeling Biomechanics in the Healthy and Diseased Heart
The hierarchical construction of the myocardium plays a pivotal role in the biomechanics of the heart muscle and the resulting flow of blood. In...
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A contact problem for a piezoelectric actuator on an elasto-plastic obstacle
A problem of motion of a piezoelectric actuator in contact with an elasto-plastic obstacle is reformulated as a PDE in one spatial dimension with...
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Geometric design of electric motors using adjoint-based shape optimization
Interest in electric aircraft has increased due to developments in electric propulsion technology and concerns regarding aircraft carbon emissions....
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Games and the Treatment Convexity of Cancer
Evolutionary game theory has been highly valuable in studying frequency-dependent selection and growth between competing cancer phenotypes. We study...
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On Uncertainty Quantification for Models Involving Hysteresis Operators
Parameters within hysteresis operators modeling real-world objects have to be identified from measurements and are therefore subject to error in...