Relevant bibliographies by topics / Stabilité des equilibres

Academic literature on the topic 'Stabilité des equilibres'

Author: Grafiati
Published: 7 July 2024
Last updated: 7 July 2024

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Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Journal articles on the topic "Stabilité des equilibres":

1

Tan, Kok-Keong, Jian Yu, and Xian-Zhi Yuan. "Stability of production economies." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 61, no. 2 (October 1996): 162–70. http://dx.doi.org/10.1017/s1446788700000173.

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AbstractIn this paper, the concept of essential equilibria for production economies is first given. We then prove that in ‘most’ production economies (in the sense of Baire category) all equilibria are essential.
2

Shnol, Emmanuil. "Stability of equilibria." Scholarpedia 2, no. 3 (2007): 2770. http://dx.doi.org/10.4249/scholarpedia.2770.

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Evans, George W., and Bruce McGough. "REPRESENTATIONS AND SUNSPOT STABILITY." Macroeconomic Dynamics 15, no. 1 (February 22, 2010): 80–92. http://dx.doi.org/10.1017/s1365100509991015.

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By endowing his agents with simple forecasting models, or representations, M. Woodford (“Learning to Believe in Sunspots,” Econometrica 58, 277–307, 1990) found that finite state Markov sunspot equilibria may be stable under learning. We show that common factor representations generalize to all sunspot equilibria the representations used by Woodford. We find that if finite state Markov sunspots are stable under learning then all sunspots are stable under learning, provided common factor representations are used.
4

Kozlov, V. V. "Neanaliticheskie pervye integraly analiticheskikh sistem differentsial'nykh uravneniy v okrestnosti ustoychivykh polozheniy ravnovesiya." Дифференциальные уравнения 59, no. 6 (June 15, 2023): 843–46. http://dx.doi.org/10.31857/s0374064123060134.

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In even-dimensional phase spaces, we give examples of analytic systems of differential equations that have isolated equilibria and admit nonanalytic first integrals. These integrals are positive definite in a neighborhood of the equilibria, which proves the stability of the equilibria (on the entire time axis). However, such systems of differential equations do not admit nontrivial first integrals in the form of formal power series at all. In particular, the Lyapunov stability of equilibria of analytic systems does not imply their formal stability. In the case of an odd-dimensional phase space, all isolated equilibria are apparently unstable.
5

Gradwohl, Ronen, and Ehud Kalai. "Large Games: Robustness and Stability." Annual Review of Economics 13, no. 1 (August 5, 2021): 39–56. http://dx.doi.org/10.1146/annurev-economics-072720-042303.

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This review focuses on properties related to the robustness and stability of Nash equilibria in games with a large number of players. Somewhat surprisingly, these equilibria become substantially more robust and stable as the number of players increases. We illustrate the relevant phenomena through a binary-action game with strategic substitutes, framed as a game of social isolation in a pandemic environment.
6

KANSO, EVA, and BABAK GHAEMI OSKOUEI. "Stability of a coupled body–vortex system." Journal of Fluid Mechanics 600 (March 26, 2008): 77–94. http://dx.doi.org/10.1017/s0022112008000359.

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This paper considers the dynamics of a rigid body interacting with point vortices in a perfect fluid. The fluid velocity is obtained using the classical complex variables theory and conformal transformations. The equations of motion of the solid–fluid system are formulated in terms of the solid variables and the position of the point vortices only. These equations are applied to study the dynamic interaction of an elliptic cylinder with vortex pairs because of its relevance to understanding the swimming of fish in an ambient vorticity field. Two families of relative equilibria are found: moving Föppl equilibria; and equilibria along the ellipse's axis of symmetry (the axis perpendicular to the direction of motion). The two families of relative equilibria are similar to those present in the classical problem of flow past a fixed body, but their stability differs significantly from the classical ones.
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Furi, M., M. Martelli, and M. O'Neill. "Global stability of equilibria." Journal of Difference Equations and Applications 15, no. 4 (April 2009): 387–97. http://dx.doi.org/10.1080/10236190802604383.

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Howard, James. "Stability of Hamiltonian equilibria." Scholarpedia 8, no. 10 (2013): 3627. http://dx.doi.org/10.4249/scholarpedia.3627.

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Giacobbe, Andrea, and Giuseppe Mulone. "Stability of ordered equilibria." Journal of Mathematical Analysis and Applications 462, no. 2 (June 2018): 1298–308. http://dx.doi.org/10.1016/j.jmaa.2018.02.040.

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Dritschel, David G. "Equilibria and stability of four point vortices on a sphere." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2241 (September 2020): 20200344. http://dx.doi.org/10.1098/rspa.2020.0344.

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This paper discusses the problem of finding the equilibrium positions of four point vortices, of generally unequal circulations, on the surface of a sphere. A random search method is developed which uses a modification of the linearized equations to converge on distinct equilibria. Many equilibria (47 and possibly more) may exist for prescribed circulations and angular impulse. A linear stability analysis indicates that they are generally unstable, though stable equilibria do exist. Overall, there is a surprising diversity of equilibria, including those which rotate about an axis opposite to the angular impulse vector.
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Journal articles Dissertations / Theses Books

Dissertations / Theses on the topic "Stabilité des equilibres":

1

Zaccaria, Federico. "Contributions à l'analyse de la performance des robots parallèles continus." Electronic Thesis or Diss., Ecole centrale de Nantes, 2023. http://www.theses.fr/2023ECDN0045.

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Les robots parallèles continus (RPCs) sont des manipulateurs utilisant plusieurs tiges flexibles disposées en parallèle et connectées à une plateforme rigide. Les RCPs promettent des capacités de charge et une précision plus élevée queles robots sériels continus, tout en gardant une grande flexibilité. Puisque le risque de blessure lors d’un contact accidentel entre un humain et un CPR devrait être réduit, les RCPs peuvent être utilisés dans des tâches collaboratives à grande échelle ou dans de tâches de chirurgie robotique assistée. Différentes architectures de RCP existent, mais la conception du prototype est rarement basée sur des considérations de performance, et la réalisation de RCPs est principalement à partir d’intuitions en utilisant d’architectures de manipulateurs parallèles rigides. Les thèmes de recherche de cette thèseportent sur l’analyse des performances des RCPs, et sur les outils nécessaires à une telle évaluation, ainsi que sur les algorithmes de calcul de leur espace de travail. En particulier, les stratégies de calcul de l’espace de travail pour les RCPs sont essentielles pour l’´évaluation de la performance, car l’espace de travail peut être utilisé comment un indice deperformance, par exemple pour des outils de conception optimale. Deux nouveaux algorithmes de calcul de l’espace de travail sont proposés dans ce manuscrit, le premier se concentrant sur le calcul du volume de l’espace de travail et la certification de ses résultats numériques, et le second sur le calcul des bords de l’espace de travail uniquement. Enraison de la nature ´élastique des RCPs, un indicateur de performance essentiel pour ces robots est la stabilité de leurs configurations d’équilibre. Cette thèse propose la validation expérimentale de l’´évaluation de la stabilité des équilibres sur un prototype réel, démontrant les limites de certaines hypothèses couramment utilisées. De plus, un indice de performance mesurant la distance à l’instabilité est proposé dans ce manuscrit. Contrairement à la majorité des approches existantes, l’avantage évident de l’indice proposé est une signification physique bien défini
Continuum parallel robots (CPRs) are manipulators employing multiple flexible beams arranged in parallel and connected to a rigid endeffector. CPRs promise higher payload and accuracy than serial CRs while keeping great flexibility. As the risk of injury during accidental contact between a human and a CPR should be reduced, CPRs may be used in large-scalecollaborative tasks or assisted robotic surgery. There exist various CPR designs, but the prototype conception is rarely based on performance considerations, and the CPRs realization in mainly based on intuitions or rigid-link parallel manipulators architectures. This thesis focuses on the performance analysis of CPRs, and the tools needed for such evaluation, such as workspace computation algorithms. In particular, workspace computation strategies for CPRs are essential for the performance assessment, since the CPRs workspace may be used as a performance index or it can serve for optimal-design tools. Two new workspace computation algorithms are proposed in this manuscript, the former focusing on the workspace volume computation and the certification of its numerical results, while the latter aims at computing the workspace boundary only. Due to the elastic nature of CPRs, a key performance indicator for these robots is the stability of their equilibrium configurations. This thesis proposes the experimental validation of the equilibrium stability assessment on a real prototype, demonstrating limitations of some commonly used assumptions. Additionally, a performance index measuring the distance to instability is originally proposed in this manuscript. Differently from themajority of the existing approaches, the clear advantage of the proposed index is a sound physical meaning; accordingly, the index can be used for a more straightforward performance quantification, and to derive robot specifications
2

Boulogne, Thomas. "Jeux stratégiques non-atomiques et applications aux réseaux." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2004. http://tel.archives-ouvertes.fr/tel-00008759.

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Cette thèse a deux parties. La première traite des jeux stratégiques non-atomiques, la seconde propose des applications de la théorie des jeux aux réseaux de télécommunications. Dans la première partie, les modèles de jeux non-atomiques proposés par Schmeidler (1973) et par Mas-Colell (1984) sont décrits et comparés. Nous montrons alors que ces jeux non-atomiques sont de bonnes approximations de jeux avec un nombre finis de joueurs et dans lesquels l'influence de chacun sur le paiement des autres joueurs est évanescente. Nous proposons ensuite une extension et des variations du modèle de Mas-Colell afin d'obtenir un cadre unificateur pour diverses applications des jeux non-atomiques, telles les jeux de routage, les jeux de foule et les jeux évolutionnaires. Ces trois types de jeu sont étudiés. Enfin nous étendons le concept de stratégie évolutionnairement stable au modèle de Schmeidler, ce qui donne un critère de sélection des équilibres. La deuxième partie traite de problèmes de routage dans les réseaux. Tout d'abord nous modélisons des situations où deux types de joueur partagent un réseau, des joueurs ayant une influence certaine sur la répartition des paquets dans le réseau et des joueurs n'en ayant pas. Puis, nous étudions la convergence de dynamiques de meilleures réponses dans des réseaux d'architecture simple. Finalement, nous modélisons le problème du routage mutipoint-à-multipoint.
3

Culverwell, Ian Dennis. "Resistive Z-pinch equilibria and stability." Thesis, Imperial College London, 1990. http://hdl.handle.net/10044/1/47833.

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Li, Weiye. "Stability of equilibria in dynamic oligopolies." Diss., The University of Arizona, 2001. http://hdl.handle.net/10150/290535.

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The Lyapunov function method is used in proving stability, asymptotic or globally asymptotic stability of discrete dynamic systems. We show that the slightly relaxed versions of the well known sufficient conditions are also necessary. The stability of the equilibria of time-invariant nonlinear dynamical systems with discrete time scale is investigated. We present an elementary proof showing that in the case of a stable equilibrium and continuously differentiable state transition function, all eigenvalues of the Jacobian computed at the equilibrium must be inside or on the unit circle. We also demonstrate via numerical examples that if some eigenvalues are on the unit circle and all other eigenvalues are inside the unit circle, then the equilibrium maybe unstable, or stable, or even asymptotically stable, which show that the necessary condition cannot be further restricted in general. In addition, the necessary condition is given in terms of spectral radius and matrix norms. The asymptotic stability of equilibria in a number of discrete dynamic oligopolies is analyzed. First the equivalence of the equilibrium problem of a large class of nonlinear games and the equilibrium problem of a class of discrete dynamic systems is verified. Stability conditions are then derived for a certain class of dynamic models, and these results are finally applied to single-product oligopolies, multiproduct oligopolies, and labor-managed oligopolies. The economic interpretation of the stability conditions are also presented. The stability properties of a special class of homogeneous dynamic economic systems are examined. The nonlinearity of the models and the presence of eigenvalues with zero real parts in a normally hyperbolic invariant set make the application of the classical theory impossible. Some principles of the modern theory of dynamical systems and invariant manifolds are applied. The local and global strong attractivity of the set of equilibria is verified under mild conditions. As an application, special labor-managed oligopolies are investigated.
5

Longbottom, Aaron W. "The stability of magnetohydrostatic equilibria in the solar corona." Thesis, Edinburgh Napier University, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.385908.

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Cloke, Martin. "Vortical equilibria of the Euler equations : construction and stability." Thesis, Imperial College London, 2007. http://hdl.handle.net/10044/1/1276.

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Ianni, Antonella. "Interaction patterns, learning processes and equilibria in population games." Thesis, University College London (University of London), 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.244508.

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Samà, Camí Anna. "Equilibria in Three Body Problems: stability, invariant tori and connections." Doctoral thesis, Universitat Autònoma de Barcelona, 2004. http://hdl.handle.net/10803/3087.

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Nava, Gaxiola Citlalitl. "Point vortices on the hyperboloid." Thesis, University of Manchester, 2013. https://www.research.manchester.ac.uk/portal/en/theses/point-vortices-on-the-hyperboloid(7d806d94-b989-442e-a685-838fed01c0d4).html.

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In Hamiltonian systems with symmetry, many previous studies have centred their attention on compact symmetry groups, but relatively little is known about the effects of noncompact groups. This thesis investigates the properties of the system of N point vortices on the hyperbolic plane H2, which has noncompact symmetry SL (2, R).The Poisson Hamiltonian structure of this dynamical system is presented and the relative equilibria conditions are found. We also describe the trajectories of relative equilibria with momentum value not equal to zero. Finally, stability criteria are found for a number of cases, focusing on N = 2, 3. These results are placed in context with the study of point vortices on the sphere, which has compact symmetry.
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Akhtar, Mahmood. "Microemulsions formation, stability and their characterisations." Thesis, Brunel University, 1996. http://bura.brunel.ac.uk/handle/2438/5004.

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This thesis is concerned with aspects of the surface and colloid chemistry of various microemulsion systems stabilised by pure nonionic surfactants and alcohol as well as mixtures of nonionic and anionic surfactants. Phase equilibria and interfacial characteristics of the systems are studied with a view to their potential usefulness for enhanced oil recovery, in which salinity and temperature are important parameters. The equilibrium microemulsion phases are scanned at different temperatures and salinities and thus interfacial boundaries can be determined and optimum salinity scans can be performed accurately using a modified spectrophotometer. Several analytical techniques (e.g., high performance liquid chromatography, gas chromatography, ion-exchange chromatography, mass spectrometry, viscometry, electrical conductivity, photon correlation spectroscopy, UV-spectrophotometry, thermogravimetric analysis, transmission electron microscopy, surface and interfacial tension techniques) have been used to characterise and understand the microchemistry of the microemulsion systems. Ultra-low interfacial tensions (>0.1 µN/m) can be achieved in the microemulsion systems. Surfactant transfer between phases, and phase inversion of micro emulsions are shown to occur around the condition which produces minimum interfacial tension. Adsorption of the surfactants from aqueous and nonaqueous solutions has been investigated and the results show that the extent of adsorption can be reduced significantly in the presence of alcohols (co-solvent). The extent of adsorption increases with increasing temperature and salinity; however, it decreases with an increase in the hydrophilic head group of the surfactant. Adsorption of nonionic surfactants on quartz from the nonaqueous solution (decane) is much greater than from aqueous solution. In microemulsion applications, droplet combustion of w/o microemulsions is also studied for different surfaces (i.e. silica, oxidised Fecralloy and catalyst coated Fecralloy) in the temperature range of 313-573K. Formaldehyde and acetaldehyde are formed as intermediate combustion products. Thus the microemulsion combustion can lead to new oxygenate products. The w/o microemulsion route is used to synthesize colloidal silica of controlled particle size and morphology. The particle size can be varied by changing the molar ratio of water to TEOS using a water pH of 10.5.
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Books on the topic "Stabilité des equilibres":

1

van Damme, Eric. Stability and Perfection of Nash Equilibria. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-58242-4.

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van Damme, Eric. Stability and Perfection of Nash Equilibria. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-96978-2.

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Damme, Eric van. Stability and perfection of Nash equilibria. 2nd ed. Berlin: Springer-Verlag, 1991.

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W, Evans George. Learning, convergence, and stability with multiple rational expectations equilibria. London: London School of Economics and Political Science, Suntory Toyota International Centre for Economics and Related Disciplines, 1990.

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W, Evans George. Learning, convergence, and stability with multiple rational expectations equilibria. London: Suntory-Toyota International Centre for Economics and Relate d Disciplines, 1990.

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Lowry, Brian J. Capillary surfaces: Stability from families of equilibria with application to the liquid bridge. Ithaca, N.Y: Cornell Theory Center, Cornell University, 1993.

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Burroni, Luigi, ed. L'agenda del lavoro. Florence: Firenze University Press, 2005. http://dx.doi.org/10.36253/88-8453-281-7.

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Questo volume raccoglie i migliori elaborati di tesi degli anni accademici 1999/00 e 2000/01 di studenti del Master Europeo in Scienze del Lavoro della Facoltà di Scienze Politiche "Cesare Alfieri" di Firenze. I contributi si concentrano sul tema del lavoro e della sua regolazione nei paesi europei, analizzando aspetti quali la flessibilità del lavoro, la formazione, le relazioni industriali aziendali, la responsabilità sociale delle imprese, la promozione della partecipazione al mercato del lavoro delle donne e dei disabili. Questi temi costituiscono dei punti di osservazione privilegiati per mettere in luce sia gli effetti di promozione del cambiamento del processo di integrazione politica europea sia il ruolo giocato dalla presenza di determinate architetture istituzionali relative ai sistemi di welfare, di regolazione dell'economia e del lavoro che continuano a essere differenti da paese a paese. Guardare a questa coesistenza tra stabilità e cambiamento con un approccio multidisciplinare e comparato come quello utilizzato nei lavori qui raccolti è come utilizzare un caleidoscopio che contribuisce a far luce sugli equilibri multipli e sui diversi percorsi di sviluppo che caratterizzano il cosiddetto "modello sociale europeo".
8

Dibb, Paul. Towards a new balance of power in Asia. (London): (Oxford University Press for The International Institute for Strategic Studies), 1995.

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Beck, Mihaly T., Nagypal, I., Williams, D. R. Complex Equilibria: Stability Constants. Ellis Horwood Ltd, 1990.

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Damme, Eric Van. Stability and Perfection of Nash Equilibria. Springer London, Limited, 2012.

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Book chapters on the topic "Stabilité des equilibres":

1

Iannelli, Mimmo, and Fabio Milner. "Stability of Equilibria." In The Basic Approach to Age-Structured Population Dynamics, 173–200. Dordrecht: Springer Netherlands, 2017. http://dx.doi.org/10.1007/978-94-024-1146-1_6.

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Cabral, Hildeberto E., and Lúcia Brandão Dias. "Stability of Equilibria." In Normal Forms and Stability of Hamiltonian Systems, 197–221. Cham: Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-33046-9_6.

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Chen, Long-Qing. "Chemical Reaction Equilibria." In Thermodynamic Equilibrium and Stability of Materials, 415–30. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-13-8691-6_14.

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Burgot, Jean-Louis. "Conditional Stability Constants." In Ionic Equilibria in Analytical Chemistry, 485–501. New York, NY: Springer New York, 2012. http://dx.doi.org/10.1007/978-1-4419-8382-4_26.

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Prüss, Jan, and Gieri Simonett. "Linear Stability of Equilibria." In Moving Interfaces and Quasilinear Parabolic Evolution Equations, 451–90. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-27698-4_10.

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Li, Huazhou. "Phase Stability Test." In Multiphase Equilibria of Complex Reservoir Fluids, 83–138. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-87440-7_3.

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Gelig, Arkadii Kh, and Alexander N. Churilov. "Stability of Equilibria. Miscellaneous Methods." In Stability and Oscillations of Nonlinear Pulse-Modulated Systems, 29–49. Boston, MA: Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-1-4612-1760-2_2.

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Gelig, Arkadii Kh, and Alexander N. Churilov. "Stability of Equilibria. Averaging Method." In Stability and Oscillations of Nonlinear Pulse-Modulated Systems, 51–96. Boston, MA: Birkhäuser Boston, 1998. http://dx.doi.org/10.1007/978-1-4612-1760-2_3.

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Merkli, Marco. "Stability of Multi-Phase Equilibria." In Mathematical Physics of Quantum Mechanics, 129–48. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/3-540-34273-7_12.

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Benford, Gregory. "Stability of Magnetic Jet Equilibria." In Astrophysical Jets and Their Engines, 205–10. Dordrecht: Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3927-1_17.

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Conference papers on the topic "Stabilité des equilibres":

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Fujimoto, Takao, Mingzhe Li, and Pascal Mossay. "Pulsating Equilibria: Stability through Migration." In Proceedings of the Twelfth International Conference on Difference Equations and Applications. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814287654_0019.

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Coppins, M., and J. Scheffel. "CGL anisotropic equilibria and stability." In Dense Z−Pinches. AIP, 1989. http://dx.doi.org/10.1063/1.38868.

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Couvrat, N., Y. Cartigny, and G. Coquerel. "Influence of solid/vapour equilibria on the stability of organic solids." In XXXV JEEP – 35th Conference on Phase Equilibria. Les Ulis, France: EDP Sciences, 2009. http://dx.doi.org/10.1051/jeep/200900012.

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Bloch, Anthony. "Stability and equilibria of deformable systems." In 26th IEEE Conference on Decision and Control. IEEE, 1987. http://dx.doi.org/10.1109/cdc.1987.272650.

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Sah, Si Mohamed, and Brian P. Mann. "Stability of a Pivoting Fluid-Filled Container." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-47997.

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This paper investigates the stability of a pivoting cylindrical container that is slowly filled with fluid. The stability of the upright and tilt angle equilibria is studied by using the Lagrange-Dirichlet theorem. The potential energy of the system is given for two regions that are delimited by an edge angle, and two spill angles. A bifurcation diagram is obtained showing the stability of the upright and tilt angle equilibria as function of both the fluid height in the container and the pivot location. In particular, it is shown that the upright angle equilibrium undergoes a pitchfork bifurcation and it is also found that two stable equilibria may coexist for some fluid heights and pivot point location.
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Tkhai, V. N. "A Family of Oscillations That Connects Equilibria." In 2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB). IEEE, 2020. http://dx.doi.org/10.1109/stab49150.2020.9140551.

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Sequeira, Dane, and Brian P. Mann. "Static Stability Analysis of a Floating Rectangular Prism." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-59766.

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This paper examines the static stability of a floating rectangular prism. A nonlinear model is developed to determine the stability of the upright and tilted equilibria positions as a function of the vertical location of the prism’s center of mass. These equilibria positions are defined by an angle of rotation and a vertical position where rotational motion is restricted to a two dimensional plane. Numerical investigations are conducted using path following continuation methods to determine equilibria solutions and evaluate stability. Bifurcation diagrams are generated that illustrate the stability of the equilibrium positions as a function of the vertical location of the center of mass. The bifurcation diagrams show complex stability behavior with many coexisting solutions.
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Orloske, Kevin, and Robert G. Parker. "Flexural-Torsional Buckling of Misaligned Axially Moving Beams: Vibration and Stability Analysis." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35822.

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This paper addresses the stability and vibration characteristics of three-dimensional steady motions (equilibrium configurations) of translating beams undergoing boundary misalignment. System modeling and equilibrium solutions for bending in two planes, torsion, and extension were presented in a previous work [1]. Stability is determined by linearizing the equations of motion about a steady motion and calculating the eigenvalues using a finite-difference discretization. For the case of no misalignment, the calculated eigenvalues are compared to known values. When the beam is misaligned, the system initially enters a planar configuration and the results indicate that the planar equilibria lose stability after the first bifurcation point. Eigenvalue behavior of the planar equilibria after the first bifurcation point is shown to be strongly influenced by translation speed. Eigenvalue behavior about non-planar equilibria and vibration modes about selected equilibria are also presented.
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Mastellone, Silvia, Dusan M. Stipanovic, and Mark W. Spong. "Stability and convergence for systems with switching equilibria." In 2007 46th IEEE Conference on Decision and Control. IEEE, 2007. http://dx.doi.org/10.1109/cdc.2007.4434822.

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Or, Yizhar, and Aaron D. Ames. "Stability of Zeno equilibria in Lagrangian hybrid systems." In 2008 47th IEEE Conference on Decision and Control. IEEE, 2008. http://dx.doi.org/10.1109/cdc.2008.4739235.

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Reports on the topic "Stabilité des equilibres":

1

Ehst, D. A., and K. Jr Evans. Maximal bootstrap current tokamak equilibria in the first stability regime. Office of Scientific and Technical Information (OSTI), January 1989. http://dx.doi.org/10.2172/6391532.

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B.C. Stratton, N.C. Hawkes, G.T.A. Huysmans, J.A. Breslau, L.E. Zakharov, B. Alper, R.V. Budny, et al. Equilibria and Stability of JET Discharges with Zero Core Current Density. Office of Scientific and Technical Information (OSTI), October 2002. http://dx.doi.org/10.2172/809849.

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Fu, G. Y., C. Z. Cheng, and K. L. Wong. Stability of the toroidicity-induced Alfven eigenmode in axisymmetric toroidal equilibria. Office of Scientific and Technical Information (OSTI), September 1993. http://dx.doi.org/10.2172/10185757.

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Sreenath, N., Y. G. Oh, P. S. Krishnaprasad, and J. E. Marsden. The Dynamics of Coupled Planar Rigid Bodies. Part 1. Reduction, Equilibria and Stability,. Fort Belvoir, VA: Defense Technical Information Center, July 1987. http://dx.doi.org/10.21236/ada187467.

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Souza, Saulo, Carlos Pereira, and Marcus André Melo. The Political Economy of Fiscal Reform in Brazil: The Rationale for the Suboptimal Equilibrum. Inter-American Development Bank, February 2010. http://dx.doi.org/10.18235/0010929.

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This project examines fiscal reforms in Brazil since the 1990s, particularly in taxation, budgeting, and fiscal federalism. While recentralizing fiscal authority and massively expanding the extractive capacity of the state, policymakers chose not to revamp an inefficient tax system that has nonetheless proven capable of generating high levels of revenue. In budgeting, the economic crises of the mid-1990s prompted the government to rein in subnational fiscal imbalances but discouraged policymakers from introducing major changes in the tax system. As the executive derives utility from fiscal stability and inflation control because of electoral incentives and credibility gains in international markets, reform initiatives can generate political benefits for incumbent politicians. The paper finally argues that the Achilles heel of the sustainability of the Fiscal Responsibility Law is its enforcement technology: the -Tribunais de Contas-.

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