Results 21 to 30 of about 13,405 (148)

3-dimensional Cauchy-Riemann structures and 2nd order ordinary differential equations

, 2003
The equivalence problem for second order ODEs given modulo point transformations is solved in full analogy with the equivalence problem of nondegenerate 3-dimensional CR structures. This approach enables an analog of the Feffereman metrics to be defined.
Baston R J, Burns D Jr, Cartan E, Cartan E, Cartan E, Cartan E, Crampin M, Fefferman C L, Fefferman C L, Fritelli S, Graham C R, Hitchin N, Jacobowitz H, Kobayashi S, Kozameh C, Lewandowski J, Lewandowski J, Lewandowski J, Lewandowski J, Lie S, Newman E T, Nurowski P, Nurowski P, Nurowski P, Nurowski P, Olver P J, Penrose R, Penrose R, Penrose R, Petrov A Z, Poincaré H, Robinson I, Robinson I, Robinson I Trautman A R Ruffini, Segre B, Sparling G A J, Sparling G A J, Tafel J, Tafel J, Trautman A, Trautman A, Tresse M A, Tresse M A   +42 more
core   +2 more sources

Real‐time biosensing of Parkinson's disease biomarkers via NIR‐activated upconversion nanoparticles

BMEMat, EarlyView.
Schematic illustration of the luminescence resonance energy transfer‐driven core‐shell‐shell UCNPs (cssUCNPs@Fluo4) nanoprobe for simultaneous monitoring of Ca²⁺‐temperature dynamics in Parkinson's disease models. Abstract Parkinson's disease (PD) is a progressive neurodegenerative disorder with incompletely understood pathophysiology, necessitating ...
Jialin Liu, Nan Li, Yu Chen, Rui Pu, Wei Wei, Yunqi Lin, Lejing Li, Yao Lu, Jianhua Hao, Lihua Li   +9 more
wiley   +1 more source

Twisted and Nontwisted Bifurcations Induced by Diffusion

, 1996
We discuss a diffusively perturbed predator-prey system. Freedman and Wolkowicz showed that the corresponding ODE can have a periodic solution that bifurcates from a homoclinic loop.
A. Lunardi, A. M. Turing, B. Deng, E. Conway, E. D. Conway, E. Yanagida, G. Prato Da, G. S. K. Wolkowicz, H. I. Freedman, H. Kokubu, J. Carr, J. D. Murray, J. K. Hale, L. P. Silnikov, P. C. Fife, P. Hartman, S.-N. Chow, S.-N. Chow, S.-N. Chow, S.-N. Chow, X. B. Lin, X. B. Lin, X. B. Lin, X.-B. Lin, X.-B. Lin, Xiao-Biao Lin   +25 more
core   +2 more sources

Optimal model‐based design of experiments for parameter precision: Supercritical extraction case

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract This study investigates the process of chamomile oil extraction from flowers. A parameter‐distributed model consisting of a set of partial differential equations is used to describe the governing mass transfer phenomena in a cylindrical packed bed with solid chamomile particles under supercritical conditions using carbon dioxide as a solvent ...
Oliwer Sliczniuk, Pekka Oinas
wiley   +1 more source

Nonlocal aspects of $\lambda$-symmetries and ODEs reduction

, 2007
A reduction method of ODEs not possessing Lie point symmetries makes use of the so called $\lambda$-symmetries (C. Muriel and J. L. Romero, \emph{IMA J. Appl. Math.} \textbf{66}, 111-125, 2001).
Alexseevskij D V, Arnold V I, Bluman G W, Bluman G W, Cicogna G, D Catalano Ferraioli, Gaeta G, Govinder K S, Ibragimov N H, Ibragimov N H, Ince E L, Kapcov O V, Konopelchenko B G, Muriel C, Olver P J, Olver P J, Painlevé P, Pucci E, Smirnov V I, Vinogradov A M   +19 more
core   +3 more sources

A‐optimal model‐based design of experiments for processes with uncertain inputs

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract Model‐based design of experiments (MBDoE) techniques are tools for selecting experimental conditions that enable accurate parameter estimation for mechanistic models. Most MBDoE approaches assume that the selected experimental conditions will be implemented perfectly, without uncertainties in the independent variables.
Bright Ofori, Iman Moshiritabrizi, Anh‐Duong Vo, Kimberley B. McAuley   +3 more
wiley   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

An Introduction to Harmonic Manifolds and the Lichnerowicz Conjecture [PDF]

, 2010
The title is self-explanatory. We aim to give an easy to read and self-contained introduction to the field of harmonic manifolds. Only basic knowledge of Riemannian geometry is required.
Kreyssig, Peter
core  

Research progress and current status of dynamic wave propagation characteristics in rock mass: A review

Deep Underground Science and Engineering, EarlyView.
This review elucidates the velocity–dispersion–attenuation coupling mechanisms of wave propagation in rock masses, compares six representative models, and reveals how pressure, temperature, mineral composition, and anisotropy jointly control dynamic responses in complex geological media.
Jiajun Shu, Tao Li, Ruiqi Yuan, Yue Li, Bingni Wu, Bo Liu, Zhengding Deng, Galindo Rubén, Fausto Molina‐Gómez   +8 more
wiley   +1 more source

On a computational approach for the approximate dynamics of averaged variables in nonlinear ODE systems: toward the derivation of constitutive laws of the rate type

, 2006
A non-perturbative approach to the time-averaging of nonlinear, autonomous ODE systems is developed based on invariant manifold methodology. The method is implemented computationally and applied to model problems arising in the mechanics of solids ...
Aarti Sawant, Abeyaratne, Acharya, Amit Acharya, Bornemann, Braun, Carr, Carr, Chorin, Chorin, Foias, Givon, Gorban, Gorban, Menon, Muncaster, Nabarro, Neishtadt, Puglisi, Roberts, Temam, Truesdell   +21 more
core   +1 more source