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Necessary and sufficient conditions for the internal stability of formations whose dynamics are obtained is determined by linear differential equations.

Optimization and Control · Mathematics 2024-03-20 A. V. Lakeyev

The simulation of supersonic or hypersonic flows often suffers from numerical shock instabilities if the flow field contains strong shocks, limiting the further application of shock-capturing schemes. In this paper, we develop the unified…

Numerical Analysis · Mathematics 2023-08-16 Weijie Ren , Wenjia Xie , Ye Zhang , Hang Yu , Zhengyu Tian

This paper is concerned with the study of the stability of dynamical systems evolving on time scales. We first {formalize the notion of matrix measures on time scales, prove some of their key properties and make use of this notion to study…

Dynamical Systems · Mathematics 2022-06-10 Giovanni Russo , Fabian Wirth

Stability selection is a widely adopted resampling-based framework for high-dimensional variable selection. This paper seeks to broaden the use of an established stability estimator to evaluate the overall stability of the stability…

Methodology · Statistics 2025-06-04 Mahdi Nouraie , Samuel Muller

This paper aims to develop the stability theory for singular stochastic Markov jump systems with state-dependent noise, including both continuous- and discrete-time cases. The sufficient conditions for the existence and uniqueness of a…

Optimization and Control · Mathematics 2015-09-04 Yong Zhao , Weihai Zhang

We study the instabilities of a harmonic oscillator subject to additive and dichotomous multiplicative noise, focussing on the dependance of the instability threshold on the mass. For multiplicative noise in the damping, the instability…

Statistical Mechanics · Physics 2015-06-11 Moshe Gitterman , David A. Kessler

In this paper we introduce the concept of universal stabilizability: the condition that every solution of a nonlinear system can be globally stabilized. We give sufficient conditions in terms of the existence of a control contraction…

Optimization and Control · Mathematics 2013-11-21 Ian R. Manchester , Jean-Jacques E. Slotine

The stability of the orbital motion of two long cylindrical magnets interacting exclusively with magnetic forces is described. To carry out analytical studies a model of magnetically interacting symmetric tops [1] is used. The model was…

Mathematical Physics · Physics 2011-01-18 Stanislav Zub

We re-examine the lower bound on the mass of the Higgs boson, $M_H$, from Standard Model vacuum stability including next-to-leading-log radiative corrections. This amounts to work with the full one-loop effective potential, $V(\phi)$,…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. A. Casas , J. R. Espinosa , M. Quiros

This is an addendum to the paper of the above title published in Physics Letters B317, 159 (1993). In that paper, I found the lower bound to the Higgs mass as a function of the top quark mass one obtains by requiring that the standard model…

High Energy Physics - Phenomenology · Physics 2007-05-23 Marc Sher

In this paper, we analyze the behavior of the multivariate symmetric uncertainty (MSU) measure through the use of statistical simulation techniques under various mixes of informative and non-informative randomly generated features.…

Machine Learning · Computer Science 2023-06-29 Gustavo Sosa-Cabrera , Miguel García-Torres , Santiago Gómez , Christian Schaerer , Federico Divina

Contraction analysis is a stability theory for nonlinear systems where stability is defined incrementally between two arbitrary trajectories. It provides an alternative framework in which to study uncertain interconnections or systems with…

Optimization and Control · Mathematics 2009-02-24 Erin M. Aylward , Pablo A. Parrilo , Jean-Jacques E. Slotine

Estimation of solution norms and stability for time-dependent nonlinear systems is ubiquitous in numerous applied and control problems. Yet, practically valuable results are rare in this area. This paper develops a novel approach, which…

Dynamical Systems · Mathematics 2018-08-29 Mark A. Pinsky , Steve Koblik

The solution of a fine tuning problem is one of the principal motivations of Supersymmetry. However experimental constraints indicate that many Supersymmetric models are also fine tuned (although to a much lesser extent). We review the…

High Energy Physics - Phenomenology · Physics 2015-05-13 Peter Athron , D. J. Miller

We study the allowed parameter space of the constrained minimal supersymmetric Standard Model (cMSSM) in the light of direct searches, constraints from $B$-physics (including the recent measurement of the branching ratio for $B_s \to…

High Energy Physics - Phenomenology · Physics 2013-05-30 Diptimoy Ghosh , Monoranjan Guchait , Sreerup Raychaudhuri , Dipan Sengupta

We present a thorough stability analysis of modified gravity theories in the presence of matter fields. We use the Effective Field Theory framework for Dark Energy and Modified Gravity to retain a general approach for the gravity sector and…

General Relativity and Quantum Cosmology · Physics 2017-03-14 Antonio De Felice , Noemi Frusciante , Georgios Papadomanolakis

Recently Murayama and Nomura proposed a simple scheme to construct the gauge mediation models, using metastable supersymmetry breaking vacua. It has a possibility to predict the ultra light gravitino mass m_{3/2} \lesssim 16 eV, while such…

High Energy Physics - Phenomenology · Physics 2008-11-26 Junji Hisano , Minoru Nagai , Masato Senami , Shohei Sugiyama

We introduce a novel set of stability conditions for vacua with broken Lorentz symmetry. The first class of conditions require that the energy be minimized under small geometric deformations, which translates into requiring the positivity…

High Energy Physics - Theory · Physics 2015-06-16 Sophia K. Domokos , Carlos Hoyos , Jacob Sonnenschein

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

Optimization and Control · Mathematics 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

Empirical diagnosis of stability has received considerable attention, mostly focused on variance metrics for early warning signals of abrupt system change. Despite this, the theoretical foundation and application has been limited to…

Adaptation and Self-Organizing Systems · Physics 2020-09-11 Zachary C Williams , Dylan E McNamara