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This paper is devoted to Radial Orbit Instability in the context of self-gravitating dynamical systems. We present this instability in the new frame of Dissipation-Induced Instability theory. This allows us to obtain a rather simple proof…

Astrophysics of Galaxies · Physics 2010-12-01 Lionel Maréchal , Jérôme Perez

A kinetic theory of vacuum particle creation under the action of an inertial mechanism is constructed within a nonpertrubative dynamical approach. At the semi-phenomenological level, the inertial mechanism corresponds to quantum field…

High Energy Physics - Phenomenology · Physics 2008-12-18 A. V. Filatov , A. V. Prozorkevich , S. A. Smolyansky , V. D. Toneev

This paper presents a non-linear stability analysis for dc-microgrids in both, interconnected mode and island operation with primary control. The proposed analysis is based on the fact that the dynamical model of the grid is a gradient…

Optimization and Control · Mathematics 2019-01-07 Alejandro Garces

The wide-spread opinion is that original quantum mechanics is a reversible theory, but this statement is only true for undecomposed systems, that are those systems which sub-systems are out of consideration. Taking sub-systems into account,…

Quantum Physics · Physics 2022-11-24 Wolfgang Muschik

In this paper we study the emergence of coherence in collective motion described by a system of interacting motiles endowed with an inner, adaptative, steering mechanism. By means of a nonlinear parametric coupling, the system elements are…

Chaotic Dynamics · Physics 2015-05-19 Anselmo Garcia Cantu Ros , Chris Antonopoulos , Vasileios Basios

This paper presents some physical interpretations of recent stability results on the feedback interconnection of negative imaginary systems. These interpretations involve spring mass damper systems coupled together by springs or RLC…

Systems and Control · Computer Science 2015-03-05 Ian R. Petersen

This paper proves an instability theorem for dynamical systems. As one adds interactions between subystems in a complex system, structured or random, a threshold of connectivity is reached beyond which the overall dynamics inevitably goes…

Chaotic Dynamics · Physics 2015-12-17 Seth Lloyd

In this work we present a strategic network formation model predicting the emergence of multigroup structures. Individuals decide to form or remove links based on the benefits and costs those connections carry; we focus on bilateral consent…

Social and Information Networks · Computer Science 2020-01-30 Shadi Mohagheghi , Jingying Ma , Francesco Bullo

In this paper, a new methodology for stability assessment of a smart power system is proposed. The key to this assessment is an index called betweenness index which is based on ideas from complex network theory. The proposed betweenness…

Other Computer Science · Computer Science 2011-03-18 A. B. M. Nasiruzzaman , H. R. Pota

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

Chemical affinities are responsible for driving active matter systems out of equilibrium. At the nano-scale, molecular machines interact with the surrounding environment and are subjected to external forces. The mechano-chemical coupling…

Soft Condensed Matter · Physics 2025-01-03 Michalis Chatzittofi , Jaime Agudo-Canalejo , Ramin Golestanian

In this paper, stability analysis of time delay systems is considered based on decomposition of the systems to subsystems. The decomposition process needs matrices of these systems to be simultaneously block triangularize. We show that a…

Optimization and Control · Mathematics 2016-11-29 Mohammad Mousa-Abadian , Sayed Hodjatollah Momeni-Masuleh , Mohammad Haeri

The Turing instability is a paradigmatic route to patterns formation in reaction-diffusion systems. Following a diffusion-driven instability, homogeneous fixed points can become unstable when subject to external perturbation. As a…

Pattern Formation and Solitons · Physics 2015-09-02 Joseph D. Challenger , Raffaella Burioni , Duccio Fanelli

Non-stationary systems are found throughout the world, from climate patterns under the influence of variation in carbon dioxide concentration, to brain dynamics driven by ascending neuromodulation. Accordingly, there is a need for methods…

Data Analysis, Statistics and Probability · Physics 2024-07-15 Kieran S. Owens , Ben D. Fulcher

The theory of slow-fast gradient systems leads in a natural way to non-equilibrium steady states, because on the slow time scale the fast subsystem stays in steady states that are controlled by the interaction with the slow system. Using…

Analysis of PDEs · Mathematics 2023-10-06 Alexander Mielke

This paper focuses on the invariance control problem for discrete-time switched nonlinear systems. The proposed approach computes controlled invariant sets in a finite number of iterations and directly yields a partition-based invariance…

Optimization and Control · Mathematics 2016-09-01 Yinan Li , Jun Liu

Power electronic converters for integrating renewable energy resources into power systems can be divided into grid-forming and grid-following inverters. They possess certain similarities, but several important differences, which means that…

Systems and Control · Electrical Eng. & Systems 2022-01-28 Yitong Li , Yunjie Gu , Timothy C. Green

Online identification of post-contingency transient stability is essential in power system control, as it facilitates the grid operator to decide and coordinate system failure correction control actions. Utilizing machine learning methods…

Systems and Control · Computer Science 2017-05-23 James J. Q. Yu , David J. Hill , Albert Y. S. Lam , Jiatao Gu , Victor O. K. Li

The initialization process of a novel power system transient simulation scheme for stability studies is put forward, by further developing a "time-domain harmonic power-flow algorithm". The initialization process is formulated as an…

Systems and Control · Electrical Eng. & Systems 2020-09-01 Sheng Lei , Alexander Flueck

The formation of weakly bound clusters in the hot and dense environment at midrapidity is one of the surprising phenomena observed experimentally in heavy-ion collisions from a low center of mass energy of a few GeV up to a…

Nuclear Theory · Physics 2024-09-20 V. Kireyeu , G. Coci , S. Glaessel , J. Aichelin , C. Blume , E. Bratkovskaya