Results 61 to 70 of about 1,172 (171)

The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
wiley   +1 more source

Equivariant geometry of singular cubic threefolds

Forum of Mathematics, Sigma
We study linearizability of actions of finite groups on singular cubic threefolds, using cohomological tools, intermediate Jacobians, Burnside invariants, and the equivariant Minimal Model Program.
Ivan Cheltsov, Yuri Tschinkel, Zhijia Zhang   +2 more
doaj   +1 more source

Nonlinear Controllers Based on Exact Feedback Linearization for Series-Compensated DFIG-Based Wind Parks to Mitigate Sub-Synchronous Control Interaction

Energies, 2017
The increasing penetration of wind power in the grid has driven the integration of wind farms with power systems that are series-compensated to enhance power transfer capability and dynamic stability. This may lead to sub-synchronous control interaction (
Penghan Li, Jie Wang, Linyun Xiong, Fei Wu   +3 more
doaj   +1 more source

C∞‐Structures for Liénard Equations and New Exact Solutions to a Class of Klein–Gordon Equations

Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2795-2822, 15 March 2026.
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, Adrián Ruiz, Concepción Muriel   +2 more
wiley   +1 more source

Invariant Characterization of Scalar Second‐Order ODEs That Admit Three Point Symmetry Lie Algebra via Cartan's Equivalence Method

Mathematical Methods in the Applied Sciences, Volume 49, Issue 1, Page 435-444, 15 January 2026.
ABSTRACT Cartan's equivalence method is applied to explicitly construct three‐dimensional invariant coframes for three branches, which are used to characterize scalar second‐order ODEs with a three‐point symmetry Lie algebra. Additionally, we present a method for constructing the point transformation based on the derived invariant coframes.
Ahmad Y. Al‐Dweik, Marwan Aloqeili, Omar A. Abuloha, Batoul M. Raddad, Sondos R. Khalil, F. M. Mahomed   +5 more
wiley   +1 more source

Distributionally Linearizable Data Structures [PDF]

Proceedings of the 30th on Symposium on Parallelism in Algorithms and Architectures, 2018
Relaxed concurrent data structures have become increasingly popular, due to their scalability in graph processing and machine learning applications. Despite considerable interest, there exist families of natural, high performing randomized relaxed concurrent data structures, such as the popular MultiQueue pattern for implementing relaxed priority queue
Alistarh, Dan, Brown, Trevor, Kopinsky, Justin, Li, Jerry Z., Nadiradze, Giorgi   +4 more
openaire   +5 more sources

Experimental Assessment of Inverter‐Based Frequency Support via Transient Frequency–Power Dynamics

IET Generation, Transmission &Distribution, Volume 20, Issue 1, January/December 2026.
This paper presents a systematic experimental assessment of inverter‐based frequency support based on transient frequency–power dynamics. Grid‐following droop, grid‐forming droop and virtual synchronous machine control are compared under identical laboratory conditions, complemented by an H∞$\mathcal {H}_\infty$‐based matching approach to shape grid ...
Alexander Och, Irina Zettl, Alexander Winkens, Andreas Ulbig   +3 more
wiley   +1 more source

Lie and Riccati Linearization of a Class of Liénard Type Equations

Journal of Applied Mathematics, 2012
We construct a linearizing Riccati transformation by using an ansatz and a linearizing point transformation utilizing the Lie point symmetry generators for a three-parameter class of Liénard type nonlinear second-order ordinary differential equations ...
A. G. Johnpillai, C. M. Khalique, F. M. Mahomed   +2 more
doaj   +1 more source

Linear and Nonlinear Ordinary Differential Equation Inversion Method Based on Improved Multistep Neural Network

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
Currently, ordinary differential equations play an important role in various fields, which is of great significance for scientific research. However, traditional inversion methods for ordinary differential equations often suffer from poor inversion bias and poor ability to optimize equation parameters.
Yingping Song, Qingqing Cao, Feng Liu, Tian Gan, Yan Liu, Mohammad Rezwan Habib   +5 more
wiley   +1 more source

Linearizability of Nonlinear Third-Order Ordinary Differential Equations by Using a Generalized Linearizing Transformation

Journal of Applied Mathematics, 2014
We discuss the linearization problem of third-order ordinary differential equation under the generalized linearizing transformation. We identify the form of the linearizable equations and the conditions which allow the third-order ordinary differential ...
E. Thailert, S. Suksern
doaj   +1 more source