Results 121 to 130 of about 25,571,312 (380)
Rigid Polynomial Differential Systems with Homogeneous Nonlinearities
MathematicsPlanar differential systems whose angular velocity is constant are called rigid or uniform differential systems. The first rigid system goes back to the pendulum clock of Christiaan Huygens in 1656; since then, the interest for the rigid systems has been
Jaume Llibre
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Well Conditioned Spherical Polynomial Systems
Journal of Approximation Theory, 1999 The author studies nonnegative spherical polynomials \(p\) normalized by \(p(1)= 1\) that minimizes a surface integral over the unit surface for fixed degree. These polynomials are used to construct systems of nodes on the sphere that support stable numerical systems of zonal harmonics such as those whose condition numbers are bounded.
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Pattern Formation in Non‐Equilibrium Architected Materials
Advanced Materials Technologies, EarlyView.This article demonstrates an artificial mechanical system ‐ a robotic metamaterial ‐ as an accessible and versatile platform within which to explore and prescribe the reaction‐diffusion driven pattern formation hitherto associated with comparatively less accessible and versatile non‐equilibrium biological and chemical systems.
Vinod Ramakrishnan, Michael J. Frazier
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Polynomial dynamical systems associated with the KdV hierarchy
Partial Differential Equations in Applied MathematicsIn 1974, S.P. Novikov introduced the stationary n-equations of the Korteweg–de Vries hierarchy, namely the n-Novikov equations. These are associated with integrable polynomial dynamical systems, with polynomial 2n integrals, in ℂ3n.
V.M. Buchstaber, E. Yu. Bunkova
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Advanced Materials Technologies, EarlyView.Waterborne polyurethane/graphene formulations are developed as piezoresistive coatings on glass fabric to enable flexible strain sensing. The graphene‐enabled conductive network provides a stable electromechanical response under cyclic compression. The coating demonstrates reliable pressure‐dependent resistance changes, highlighting its potential for ...
Vishnu Vijayan Pillai +8 more
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Centers of planar polynomial systems. A review
Le Matematiche, 1998 See directly the article.
Roberto Conti
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On the relationship between the number of solutions of congruence\n systems and the resultant of two polynomials [PDF]
, 2015 Dmitry I. Khomovsky
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Advanced Materials Technologies, EarlyView.This study explores how machine learning models, trained on small experimental datasets obtained via Phase Doppler Anemometry (PDA), can accurately predict droplet size (D32) in ultrasonic spray coating (USSC). By capturing the influence of ink complexity (solvent, polymer, nanoparticles), power, and flow rate, the model enables precise droplet control
Pieter Verding +5 more
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