Integral equivalence of two systems of differential equations
Integraltransformationen zu singulären S-Hermiteschen Rand-Eigenwertproblemen.
Invariant manifolds and the concept of asymptotic phase
Invariants of kinetic differential equations.
Inversion in indirect optimal control of multivariable systems
This paper presents the role of vector relative degree in the formulation of stationarity conditions of optimal control problems for affine control systems. After translating the dynamics into a normal form, we study the Hamiltonian structure. Stationarity conditions are rewritten with a limited number of variables. The approach is demonstrated on two and three inputs systems, then, we prove a formal result in the general case. A mechanical system example serves as illustration.
Involutions and iterates of central dispersions
Jacobische Differentialgleichung mit hyperbolischen Phasen die der primitiven Funktion zur Quadratwurzel aus ihrem Träger gleich sind
L2-Solutions of y" = q (t) y and a Functional Equation
L-A пары с рациональной зависимостью от спектральных параметров. Преобразование Дарбу
Linear differential transformations of the 2nd order as a representation of an abstract model
Linearizability of a polynomial system
Linearization Of Nonlinear Differential Equations: Third Order Nonlinear Ordinary Differential Equations Equivalent To Linear Second Order Equations
Linearization of second-order ordinary differential equations by generalized Sundman transformations.
Liouvillian first integrals of second order polynomial differential equations.
Meandering of trajectories of polynomial vector fields in the affine n-space.
We give an explicit upper bound for the number of isolated intersections between an integral curve of a polynomial vector field in Rn and an affine hyperplane.The problem turns out to be closely related to finding an explicit upper bound for the length of ascending chains of polynomial ideals spanned by consecutive derivatives.This exposition constitutes an extended abstract of a forthcoming paper: only the basic steps are outlined here, with all technical details being either completely omitted...
Model reduction methods for chaotic systems
Models of learning and the polar decomposition of bounded linear operators.
Multi-dimensional Cartan prolongation and special k-flags
Since the mid-nineties it has gradually become understood that the Cartan prolongation of rank 2 distributions is a key operation leading locally, when applied many times, to all so-called Goursat distributions. That is those, whose derived flag of consecutive Lie squares is a 1-flag (growing in ranks always by 1). We first observe that successive generalized Cartan prolongations (gCp) of rank k + 1 distributions lead locally to all special k-flags: rank k + 1 distributions D with the derived...
Multi-parameter symmetries of first order ordinary differential equations.
Multiple-scale analysis for Painlevé transcendents with a large parameter