Improvement of distance relay zone‐3 security using fault and breaker opening generated traveling waves
Sign Up to like & getrecommendations! Published in 2017 at "International Transactions on Electrical Energy Systems"
DOI: 10.1002/etep.2414
Abstract: Summary This paper presents a new algorithm for discrimination of short-circuit faults from power system stressed conditions. The proposed algorithm is based on the combination of distance relay zone-3 operation and traveling waves generated by… read more here.
Keywords: distance relay; fault; breaker; relay zone ... See more keywords
Traveling waves in a diffusive epidemic model with criss‐cross mechanism
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.5559
Abstract: In this paper, we propose a reaction‐diffusion system to describe the spread of infectious diseases within two population groups by self and criss‐cross infection mechanism. Firstly, based on the eigenvalues, we give two methods for… read more here.
Keywords: traveling wave; wave solutions; traveling waves; criss cross ... See more keywords
Invariant Manifolds of Traveling Waves of the 3D Gross–Pitaevskii Equation in the Energy Space
Sign Up to like & getrecommendations! Published in 2017 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-018-3189-6
Abstract: We study the local dynamics near general unstable traveling waves of the 3D Gross–Pitaevskii equation in the energy space by constructing smooth local invariant center-stable, center-unstable and center manifolds. We also prove that (i) the… read more here.
Keywords: pitaevskii equation; waves gross; traveling waves; center ... See more keywords
Some Interesting Traveling Waves in a Transversely Isotropic Incompressible Hyperelastic Semi-infinite Rod
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mechanica Solida Sinica"
DOI: 10.1007/s10338-018-0030-x
Abstract: In this paper, the bounded traveling wave solutions are examined for a system of partial differential equations with certain boundary conditions. Interestingly, this system can be used to describe the axially symmetric motion of a… read more here.
Keywords: wave solutions; traveling waves; semi infinite; incompressible hyperelastic ... See more keywords
Time Periodic Traveling Waves for a Periodic and Diffusive SIR Epidemic Model
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-016-9546-2
Abstract: In this paper, we study the time periodic traveling wave solutions for a periodic SIR epidemic model with diffusion and standard incidence. We establish the existence of periodic traveling waves by investigating the fixed points… read more here.
Keywords: time periodic; sir epidemic; traveling waves; epidemic model ... See more keywords
Small Amplitude Traveling Waves in the Full-Dispersion Whitham Equation
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-018-9713-8
Abstract: In this article, we provide an alternative way to construct small amplitude traveling waves for general Whitham type equations, in both periodic and whole line contexts. More specifically, Fourier analysis techniques allow us to reformulate… read more here.
Keywords: dispersion whitham; amplitude traveling; full dispersion; traveling waves ... See more keywords
Small Mass Nanopteron Traveling Waves in Mass-in-Mass Lattices with Cubic FPUT Potential
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-020-09865-0
Abstract: The mass-in-mass (MiM) lattice consists of an infinite chain of identical beads that are both nonlinearly coupled to their nearest neighbors and linearly coupled to a distinct resonator particle; it serves as a prototypical model… read more here.
Keywords: small mass; mass; nanopteron traveling; traveling waves ... See more keywords
A Discrete Velocity Kinetic Model with Food Metric: Chemotaxis Traveling Waves
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of Mathematical Biology"
DOI: 10.1007/s11538-016-0235-4
Abstract: We introduce a mesoscopic scale chemotaxis model for traveling wave phenomena which is induced by food metric. The organisms of this simplified kinetic model have two discrete velocity modes, $$\pm s$$±s and a constant tumbling… read more here.
Keywords: discrete velocity; food metric; traveling waves; model ... See more keywords
The Γ-limit of traveling waves in the FitzHugh-Nagumo system
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.02.023
Abstract: Abstract Patterns and waves are basic and important phenomena that govern the dynamics of physical and biological systems. A common theme in investigating such systems is to identify the intrinsic factors responsible for such self-organization.… read more here.
Keywords: nagumo system; limit traveling; traveling waves; fitzhugh nagumo ... See more keywords
Electro-hydro-elastic modeling of Structure-Borne Traveling Waves and their application to aquatic swimming motions
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Fluids and Structures"
DOI: 10.1016/j.jfluidstructs.2021.103230
Abstract: Abstract Structure-Borne Traveling Waves (SBTWs) can replicate the combined undulatory and oscillatory motions utilized by body and/or caudal fin (BCF) aquatic swimmers. However, when SBTWs are generated in a dense fluid media, such as water,… read more here.
Keywords: undulatory oscillatory; structure borne; traveling waves; structure ... See more keywords
Stumpons are non-conservative traveling waves of the Camassa–Holm equation
Sign Up to like & getrecommendations! Published in 2022 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2022.133196
Abstract: It is well-known that by requiring solutions of the Camassa–Holm equation to satisfy a particular local conservation law for the energy in the weak sense, one obtains what is known as conservative solutions. As conservative… read more here.
Keywords: stumpons non; traveling waves; camassa holm; holm equation ... See more keywords