Results 171 to 180 of about 539,609 (355)

C∞$$ {C}^{\infty } $$‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Liénard equations are analyzed using the recent theory of 𝒞∞‐structures. For each Liénard equation, a 𝒞∞‐structure is determined by using a Lie point symmetry and a 𝒞∞‐symmetry. Based on this approach, a novel method for integrating these equations is proposed, which consists in solving sequentially two completely integrable Pfaffian equations.
Beltrán de la Flor   +2 more
wiley   +1 more source

SYMMETRIES AND LAX INTEGRABILITY OF THE GENERALIZED PROUDMAN-JOHNSON EQUATION

open access: yesНаучный вестник МГТУ ГА, 2017
We study local symmetries of the generalized Proudman-Johnson equation. Symmetries of a partial differential equation may be used to find its invariant solutions.
O. I. Morozov
doaj  

Tests of Exponential Stabilization Through Floquet Theory and Act‐And‐Wait Control

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we propose tests of exponential stability based on a version of the Floquet theory for delay differential equations of the first order. Our approach allows researchers to preserve the order of equation and to use the classical methods of the Floquet theory for ordinary differential equations.
Alexander Domoshnitsky, Tsahi Shavit
wiley   +1 more source

On the Mean‐Field Limit of Consensus‐Based Methods

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
wiley   +1 more source

Denoising Low‐Power CEST Imaging Using a Deep Learning Approach With a Dual‐Power Feature Preparation Strategy

open access: yesMagnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose: Low‐power (LP) chemical exchange saturation transfer (CEST) Z‐spectra have significantly reduced confounding effects and enhanced peak resolvability, thereby improving the observation and quantification of various CEST effects. However, LP Z‐spectra suffer greatly from reduced contrast‐to‐noise ratio (CNR).
Yashwant Kurmi   +6 more
wiley   +1 more source

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