Results 21 to 30 of about 38,674 (306)
Existence and non-existence of solutions to a Hamiltonian strongly degenerate elliptic system
Advances in Nonlinear Analysis, 2017 We study the non-existence and existence of infinitely many solutions to the semilinear degenerate elliptic ...
Anh Cung The, My Bui Kim
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The dynamics of the relativistic Kepler problem
Results in Physics, 2020 We deal with the Hamiltonian system (HS) associated to the Hamiltonian in polar coordinates H=12pr2+pϕ2r2-1r-∊2r2, where ∊ is a small parameter. This Hamiltonain comes from the correction given by the special relativity to the motion of the two-body ...
Elbaz I. Abouelmagd +2 more
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Dynamical behavior and control of a new hyperchaotic Hamiltonian system
AIMS Mathematics, 2022 In this paper, we firstly formulate a new hyperchaotic Hamiltonian system and demonstrate the existence of multi-equilibrium points in the system. The characteristics of equilibrium points, Lyapunov exponents and Poincaré sections are studied.
Junhong Li, Ning Cui
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Supersymmetric Bi-Hamiltonian Systems [PDF]
Communications in Mathematical Physics, 2021 We construct super Hamiltonian integrable systems within the theory of Supersymmetric Poisson vertex algebras (SUSY PVAs). We provide a powerful tool for the understanding of SUSY PVAs called the super master formula. We attach some Lie superalgebraic data to a generalized SUSY W-algebra and show that it is equipped with two compatible SUSY PVA ...
Sylvain Carpentier, Uhi Rinn Suh
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AIMS MathematicsIn the study, the authors concisely review the normalized remainders of the Maclaurin series and, by establishing an inequality for specific Maclaurin series, show that the ratio between two normalized remainders of the Maclaurin series of the ...
Tao Zhang, Feng Qi
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Browder spectra of closed upper triangular operator matrices
AIMS MathematicsLet $ T_{B} = \left[\begin{array}{ll} A & B \\ 0 & D \end{array}\right] $ be an unbounded upper operator matrix with diagonal domain, acting in $ \mathcal H \oplus\mathcal K $, where $ \mathcal H $ and $ \mathcal K $ are Hilbert spaces.
Qingmei Bai +2 more
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Interference Effect Between a Parabolic Notch and a Screw Dislocation in Piezoelectric Quasicrystals
CrystalsThis study investigates the coupling mechanism between a parabolic notch and dislocations in one-dimensional (1D) hexagonal piezoelectric quasicrystals (PQCs) based on the theory of complex variable functions.
Yuanyuan Gao +3 more
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Hamiltonian elliptic system involving nonlinearities with supercritical exponential growth
AIMS Mathematics, 2023 In this paper, we deal with the existence of nontrivial solutions to the following class of strongly coupled Hamiltonian systems: $ \begin{equation*} \quad \left\{ \begin{array}{rclll} -{\rm div} \big(w(x)\nabla u\big) \ = \ g(x,v),&\ & x ...
Yony Raúl Santaria Leuyacc
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Advanced Engineering Materials, EarlyView.This article provides an overview of recent advancements in bulk processing of rare‐earth‐free hard magnetic materials. It also addresses related simulation approaches at different scales. The research on rare‐earth‐free magnetic materials has increased significantly in recent years, driven by supply chain issues, environmental and social concerns, and
Daniel Scheiber, Andrea Bachmaier
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Advanced Functional Materials, EarlyView.A spin group (SG)‐based mechanism is proposed to realize a single pair of Weyl points. PT‐symmetric nodal lines (NLs) persist under T‐breaking, protected by the combination of SG and P symmetry. When considering spin‐orbit coupling, the SG‐protected NL will split into Weyl points, which will also induce anomalous transport phenomena arising from ...
Shifeng Qian +6 more
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