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We study the stability of uniformly moving membrane-like objects in seven dimensional Anti-de Sitter space. This is approached by a linear perturbation analysis and a search for growing modes. We examine both analytic and numerical…

High Energy Physics - Theory · Physics 2015-06-03 Stefan Janiszewski

Robust finite-time feedback controller introduced for the second-order systems in [1] can be seen as a non-overshooting quasi-continuous sliding mode control. The paper proposes a regularization scheme to suppress inherent chattering due to…

Optimization and Control · Mathematics 2025-06-06 Michael Ruderman , Denis Efimov

In this short note, we briefly comment on the analytical bounds that must be imposed on the parameter space of the Rezzolla-Zhidenko (RZ) metric-parametrization approach introduced in Ref. [1]. We hope this will clarify some of the…

General Relativity and Quantum Cosmology · Physics 2022-06-08 Prashant Kocherlakota , Luciano Rezzolla

We discuss several aspects of the relation between asymptotically AdS and asymptotically dS spacetimes including: the continuation between these types of spaces, the global stability of asymptotically dS spaces and the structure of limits…

High Energy Physics - Theory · Physics 2007-05-23 Michael T. Anderson

In a recent comment [arXiv:1405.2978v1 (2014)] Romanenko and Grassellino made unsubstantiated statements about our work [Appl. Phys. Lett. 104, 092601 (2014)] and ascribed to us wrong points which we had not made. Here we show that the…

Accelerator Physics · Physics 2015-06-19 G. Ciovati , P. Dhakal , A. Gurevich

We consider some critical claims concerning our above paper, and reply to these claims.

Optimization and Control · Mathematics 2019-05-22 Andrei Dmitruk , Ivan Samylovskiy

Dunsiger and co-workers have criticised our paper on magnetic monopole dynamics spin ice [S. T. Bramwell et al., Nature, 461 956 (2009)]. We consider their criticisms and results but show that these do not warrant any revision of our…

Strongly Correlated Electrons · Physics 2011-11-18 S. T. Bramwell , S. R. Giblin

A recent Comment [arXiv:0806.2142] has argued that "there is a simple duality between A-site and B-site" R3c ABO$_3$ materials and that our Letter [PRL 100, 167203 (2208)] "breaks this duality by ignoring a non-polar distortion that is…

Materials Science · Physics 2008-07-04 Craig J. Fennie

Reply to comment appeared on hep-lat/9912014.

High Energy Physics - Lattice · Physics 2009-10-31 B. Alles , J. J. Alonso , C. Criado , M. Pepe

We consider a 2 d.o.f. Hamiltonian system with one degree of freedom corresponding to fast motion and the other corresponding to slow motion. The ratio of the time derivatives of slow and fast variables is of order $0<\eps \ll 1$. At frozen…

Dynamical Systems · Mathematics 2007-05-23 Anatoly Neishtadt , Carles Simó , Dmitri Treschev , Alexei Vasiliev

Bashkirov's comments (cond-mat/0410667) on the paper [S. Abe, Phys. Rev. E 66, 046134 (2002)] are all refuted. In addition, it is discussed that the Renyi entropy is irrelevant to generalization of Boltzmann-Gibbs statistical mechanics for…

Statistical Mechanics · Physics 2009-11-10 Sumiyoshi Abe

The stability issue of a large class of modified gravitational models is discussed with particular emphasis to de Sitter solutions. Three approaches are briefly presented and the generalization to more general cases is mentioned.

General Relativity and Quantum Cosmology · Physics 2009-05-01 Sergio Zerbini

In this paper, the problem of stability in terms of two measures is considered for a class of stochastic partial differential delay equations with switching. Sufficient conditions for stability in terms of two measures are obtained based on…

Dynamical Systems · Mathematics 2016-09-07 Shufen Zhao , Minghui Song

In this paper, new stability analysis methods are proposed for digital robust motion control systems implemented using a disturbance observer.

Systems and Control · Electrical Eng. & Systems 2025-02-04 Emre Sariyildiz

This paper presents stability and accuracy analysis of a high-order explicit time stepping scheme introduced by \cite[Section 2.2]{Buvoli2019}, which exhibits superior stability compared to classical Adams-Bashforth. A conjecture that is…

Numerical Analysis · Mathematics 2026-04-01 Daopeng Yin , Liquan Mei

Topological point defects on orientationally ordered spheres, and on deformable fluid vesicles have been partly motivated by their potential applications in creating super-atoms with directional bonds through functionalization of the…

Soft Condensed Matter · Physics 2020-05-27 C. Saichand , Jaya Kumar Alageshan , Arun Roy , Yashodhan Hatwalne

This paper deals with the asymptotic behavior of solutions to the delayed monostable equation: $(*)$ $u_{t}(t,x) = u_{xx}(t,x) - u(t,x) + g(u(t-h,x)),$ $x \in \mathbb{R},\ t >0,$ where $h>0$ and the reaction term $g: \mathbb{R}_+ \to…

Analysis of PDEs · Mathematics 2017-04-12 Abraham Solar

We show that while individual Riesz transforms are two weight norm stable under biLipschitz change of variables on $A_{\infty}$ weights, they are two weight norm unstable under even rotational change of variables on doubling weights. More…

Classical Analysis and ODEs · Mathematics 2024-06-13 Michel Alexis , José Luis Luna Garcia , Eric Sawyer , Ignacio Uriarte-Tuero

The stability of colliding Bose-Einstein condensates is investigated. A set of coupled Gross-Pitaevskii equations is thus considered, and analyzed via a perturbative approach. No assumption is made on the signs (or magnitudes) of the…

Other Condensed Matter · Physics 2009-11-11 I. Kourakis , P. K. Shukla , M. Marklund , L. Stenflo

J. Angulo and J. F. Montenegro (J. Differential Equations 174 (2001), no. 1, 181-199) published a paper about nonlinear stability of solitary waves for an interaction system between a long internal wave and a short surface wave in a two…

Analysis of PDEs · Mathematics 2007-05-24 Borys Alvarez-Samaniego