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Displaying 441 – 460 of 1123

Invariant tracking

Philippe Martin, Pierre Rouchon, Joachim Rudolph (2004)

ESAIM: Control, Optimisation and Calculus of Variations

The problem of invariant output tracking is considered: given a control system admitting a symmetry group $G$ , design a feedback such that the closed-loop system tracks a desired output reference and is invariant under the action of $G$ . Invariant output errors are defined as a set of scalar invariants of $G$ ; they are calculated with the Cartan moving frame method. It is shown that standard tracking methods based on input-output linearization can be applied to these invariant errors to yield the required...

Invariant tracking

Philippe Martin, Pierre Rouchon, Joachim Rudolph (2010)

ESAIM: Control, Optimisation and Calculus of Variations

The problem of invariant output tracking is considered: given a control system admitting a symmetry group G, design a feedback such that the closed-loop system tracks a desired output reference and is invariant under the action of G. Invariant output errors are defined as a set of scalar invariants of G; they are calculated with the Cartan moving frame method. It is shown that standard tracking methods based on input-output linearization can be applied to these invariant errors to yield the...

Invariant varieties of periodic points for the discrete Euler top.

Saito, Satoru, Saitoh, Noriko (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Invariante Variationsprobleme

E. Noether (1918)

Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, Mathematisch-Physikalische Klasse

Inverse problem of the classical calculus of variations

Jan Chrastina (1982)

Archivum Mathematicum

Investigation of a spatial double pendulum: an engineering approach.

Bendersky, S., Sandler, B. (2006)

Discrete Dynamics in Nature and Society

Isomorphism and Hamilton representation of some nonholonomic systems.

Borisov, A.V., Mamaev, I.S. (2007)

Sibirskij Matematicheskij Zhurnal

Isospectrality for quantum toric integrable systems

Laurent Charles, Álvaro Pelayo, San Vũ Ngoc (2013)

Annales scientifiques de l'École Normale Supérieure

We give a full description of the semiclassical spectral theory of quantum toric integrable systems using microlocal analysis for Toeplitz operators. This allows us to settle affirmatively the isospectral problem for quantum toric integrable systems: the semiclassical joint spectrum of the system, given by a sequence of commuting Toeplitz operators on a sequence of Hilbert spaces, determines the classical integrable system given by the symplectic manifold and commuting Hamiltonians. This type of...

Jet bundle geometry, dynamical connections, and the inverse problem of lagrangian mechanics

Enrico Massa, Enrico Pagani (1994)

Annales de l'I.H.P. Physique théorique

Jordan obstruction to the integrability of Hamiltonian systems with homogeneous potentials

Guillaume Duval, Andrzej J. Maciejewski (2009)

Annales de l’institut Fourier

In this paper, we consider the natural complex Hamiltonian systems with homogeneous potential $V (q)$ , $q \in ℂ^{n}$ , of degree $k \in ℤ^{☆}$ . The known results of Morales and Ramis give necessary conditions for the complete integrability of such systems. These conditions are expressed in terms of the eigenvalues of the Hessian matrix $V^{''} (c)$ calculated at a non-zero point $c \in ℂ^{n}$ , such that $V^{'} (c) = c$ . The main aim of this paper is to show that there are other obstructions for the integrability which appear if the matrix $V^{''} (c)$ is not diagonalizable....

Jumping nonlinearities and mathematical models of suspension bridge

Pavel Drábek (1994)

Acta Mathematica et Informatica Universitatis Ostraviensis

K otázce proměnlivosti parametrů únosnosti konstrukcí

N. S. Streleckij (1959)

Aplikace matematiky

Kam kráčí výpočtová mechanika?

Ivo Babuška, J. Tinsley Oden (2003)

Pokroky matematiky, fyziky a astronomie

KAM Tori and Quantum Birkhoff Normal Forms

Georgi Popov (1999/2000)

Séminaire Équations aux dérivées partielles

This talk is concerned with the Kolmogorov-Arnold-Moser (KAM) theorem in Gevrey classes for analytic hamiltonians, the effective stability around the corresponding KAM tori, and the semi-classical asymptotics for Schrödinger operators with exponentially small error terms. Given a real analytic Hamiltonian $H$ close to a completely integrable one and a suitable Cantor set $Θ$ defined by a Diophantine condition, we find a family $Λ_{ω}, ω \in Θ$ , of KAM invariant tori of $H$ with frequencies $ω \in Θ$ which is Gevrey smooth with...

Kepler-Newton-Coulomb system and Lie matrix spin (incomplete).

Ahmad Faris, Bin Abdul Razak, Shararir, Bin Mohamad Zain (2003)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

Killing's equations in dimension two and systems of finite type

Gerard Thompson (1999)

Mathematica Bohemica

A PDE system is said to be of finite type if all possible derivatives at some order can be solved for in terms lower order derivatives. An algorithm for determining whether a system of finite type has solutions is outlined. The results are then applied to the problem of characterizing symmetric linear connections in two dimensions that possess homogeneous linear and quadratic integrals of motions, that is, solving Killing's equations of degree one and two.

Kinematic geometry of triangles and the study of the three-body problem.

Hsiang, Wu-Yi, Straume, Eldar (2007)

Lobachevskii Journal of Mathematics

Kinematics of relative motion of test particles in general relativity

Stanislaw L. Bażański (1977)

Annales de l'I.H.P. Physique théorique

Kurven, welche mit den Geschwindigkeiten der $n$ -dimensionalen Euklidischen Bewegung des starren Systems verbunden sind.

Karel Drábek (1973)

Aplikace matematiky

L2 -characteristic classes of Maslov–Trofimov of hamiltonian systems on the Lie algebra of the upper-triangular matrices

Jerzy Nowak (1998)

Fundamenta Mathematicae

We generalize the construction of Maslov-Trofimov characteristic classes to the case of some G-manifolds and use it to study certain hamiltonian systems.

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