EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Displaying 461 – 480 of 912

Numerical integration of differential equations in the presence of first integrals: observer method

Eric Busvelle, Rachid Kharab, A. Maciejewski, Jean-Marie Strelcyn (1994)

Applicationes Mathematicae

We introduce a simple and powerful procedure-the observer method-in order to obtain a reliable method of numerical integration over an arbitrary long interval of time for systems of ordinary differential equations having first integrals. This aim is achieved by a modification of the original system such that the level manifold of the first integrals becomes a local attractor. We provide a theoretical justification of this procedure. We report many tests and examples dealing with a large spectrum...

Numerical study of invariant sets of a quasiperiodic perturbation of a symplectic map.

Tompaidis, Stathis (1996)

Experimental Mathematics

Obtuse triangular billiards. I: Near the $(2, 3, 6)$ triangle.

Schwartz, Richard Evan (2006)

Experimental Mathematics

On $(1, 1)$ -tensor fields on symplectic manifolds

Anton Dekrét (1999)

Archivum Mathematicum

Two symplectic structures on a manifold $M$ determine a (1,1)-tensor field on $M$ . In this paper we study some properties of this field. Conversely, if $A$ is (1,1)-tensor field on a symplectic manifold $(M, ω)$ then using the natural lift theory we find conditions under which $ω^{A}, ω^{A} (X, Y) = ω (A X, Y)$ , is symplectic.

On a conjecture for the critical behaviour of KAM tori.

Bonetto, Federico, Gentile, Guido (1999)

Mathematical Physics Electronic Journal [electronic only]

On a horizontal structure on differentiable manifolds

Anton Dekrét (1977)

Mathematica Slovaca

On a “mysterious” case of a quadratic Hamiltonian.

Sakovich, Sergei (2006)

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

On a theorem of Chekanov

Emmanuel Ferrand (1997)

Banach Center Publications

A proof of the Chekanov theorem is discussed from a geometric point of view. Similar results in the context of projectivized cotangent bundles are proved. Some applications are given.

On Anosov energy levels of convex Hamiltonian systems.

Gabriel P. Paternain, Miguel Paternain (1994)

Mathematische Zeitschrift

On Arnold's conjecture for symplectic fixed points

Kaoru Ono (1998)

Banach Center Publications

On chaotic dynamics in rational polygonal billiards.

Kokshenev, Valery B. (2005)

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

On classical intrinsically resonant formal perturbation theory

Marcin Moszyński (1995)

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

On classical $r$ -matrix for the Kowalevski gyrostat on $so (4)$ .

Komarov, Igor V., Tsiganov, Andrey V. (2006)

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

On classical series expansions for quasi-periodic motions.

Giorgilli, Antonio, Locatelli, Ugo (1997)

Mathematical Physics Electronic Journal [electronic only]

On computer-aided solving differential equations and stability study of markets.

Leites, D. (2004)

Journal of Mathematical Sciences (New York)

On control theory and its applications to certain problems for Lagrangian systems. On hyperimpulsive motions for these. II. Some purely mathematical considerations for hyper-impulsive motions. Applications to Lagrangian systems

Aldo Bressan (1988)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

See Summary in Note I. First, on the basis of some results in [2] or [5]-such as Lemmas 8.1 and 10.1-the general (mathematical) theorems on controllizability proved in Note I are quickly applied to (mechanic) Lagrangian systems. Second, in case $\Sigma$ , $\chi$ and $M$ satisfy conditions (11.7) when $\mathcal{Q}$ is a polynomial in $\dot{\gamma}$ , conditions (C)-i.e. (11.8) and (11.7) with $\mathcal{Q}\equiv 0$ -are proved to be necessary for treating satisfactorily $\Sigma$ 's hyper-impulsive motions (in which positions can suffer first order discontinuities)....

On control theory and its applications to certain problems for Lagrangian systems. On hyper-impulsive motions for these. III. Strengthening of the characterizations performed in parts I and II, for Lagrangian systems. An invariance property.

Aldo Bressan (1988)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In [1] I and II various equivalence theorems are proved; e.g. an ODE $(\mathcal{E})\dot{z}=F(t,z,u,\dot{u})\,(\in\mathbb{R}^{m})$ with a scalar control $u=u(\cdot)$ is linear w.r.t. $\dot{u}$ iff $(\alpha)$ its solution $z(u,\cdot)$ with given initial conditions (chosen arbitrarily) is continuous w.r.t. $u$ in a certain sense, or iff $(\beta)$ $z(u,\cdot)$

On critical points for noncoercive functionals and subharmonic solutions of some Hamiltonian systems.

Schmitt, Klaus, Wang, Zhi-Qiang (2000)

Electronic Journal of Differential Equations (EJDE) [electronic only]

On D’Alembert’s Principle

Larry M. Bates, James M. Nester (2011)

Communications in Mathematics

A formulation of the D’Alembert principle as the orthogonal projection of the acceleration onto an affine plane determined by nonlinear nonholonomic constraints is given. Consequences of this formulation for the equations of motion are discussed in the context of several examples, together with the attendant singular reduction theory.

On dissipative phenomena of the interaction of Hamiltonian systems.

Dinariev, O.Yu. (2003)

Sibirskij Matematicheskij Zhurnal

Currently displaying 461 – 480 of 912

Previous Page 24 Next