Lepagean 2-forms in higher order Hamiltonian mechanics. II. Inverse problem
Lie algebra structure in the model of 3-link snake robot
In this paper, we study a 5 dimensional configuration space of a 3-link snake robot model moving in a plane. We will derive two vector fields generating a distribution which represents a space of the robot’s allowable movement directions. An arbitrary choice of such generators generates the entire tangent space of the configuration space, i.e. the distribution is bracket-generating, but our choice additionally generates a finite dimensional Lie algebra over real numbers. This allows us to extend...
Lie group theoretical construction of period mapping.
Lie point Symmetries of Hamiltonian Systems
Limit matrices for the Toda flow and periodic flags for loop groups.
Linear programming interpretations of Mather’s variational principle
We discuss some implications of linear programming for Mather theory [13, 14, 15] and its finite dimensional approximations. We find that the complementary slackness condition of duality theory formally implies that the Mather set lies in an -dimensional graph and as well predicts the relevant nonlinear PDE for the “weak KAM” theory of Fathi [6, 7, 8, 5].
Linear programming interpretations of Mather's variational principle
We discuss some implications of linear programming for Mather theory [13-15] and its finite dimensional approximations. We find that the complementary slackness condition of duality theory formally implies that the Mather set lies in an n-dimensional graph and as well predicts the relevant nonlinear PDE for the “weak KAM” theory of Fathi [5-8].
Linéarisation de certaines structures de Poisson de classe
Linearising two-dimensional integrable systems and the construction of action-angle variables.
Linearization of nonholonomic systems at equilibrium points.
Linearization of Poisson actions and singular values of matrix products
We prove that the linearization functor from the category of Hamiltonian -actions with group-valued moment maps in the sense of Lu, to the category of ordinary Hamiltonian - actions, preserves products up to symplectic isomorphism. As an application, we give a new proof of the Thompson conjecture on singular values of matrix products and extend this result to the case of real matrices. We give a formula for the Liouville volume of these spaces and obtain from it a hyperbolic version of the Duflo...
Linearized geometric dynamics of Tobin-Benhabib-Miyao economic flow.
Liouville integrability of geometric variational problems.
Local Non-squeezing Theorems and Stability.
Local rigidity of actions of higher rank abelian groups and KAM method.
Locally conformal cosymplectic manifolds and time-dependent Hamiltonian systems
We show that locally conformal cosymplectic manifolds may be seen as generalized phase spaces of time-dependent Hamiltonian systems. Thus we extend the results of I. Vaisman for the time-dependent case.
Logarithmic convexity of push-forward measures.
Looking for the Bernoulli shift