Sökning: "37M20"

Hittade 1 avhandling innehållade ordet 37M20.

1. 1. Computer-aided Computation of Abelian integrals and Robust Normal Forms

   Författare :Tomas Johnson; Warwick Tucker; Lars-Erik Persson; John H. Hubbard; Uppsala universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Ordinary differential equations; parameter estimation; planar Hamiltonian systems; bifurcation theory; Abelian integrals; limit cycles; normal forms; hyperbolic fixed points; numerical integration; invariant manifolds; interval analysis. 2000 Mathematics Subject Classification. 34A60; 34C07; 34C20; 37D10; 37G15; 37M20; 37M99; 65G20; 65L09; 65L70.; MATHEMATICS; MATEMATIK; matematik; Mathematics;

   Sammanfattning : This PhD thesis consists of a summary and seven papers, where various applications of auto-validated computations are studied. In the first paper we describe a rigorous method to determine unknown parameters in a system of ordinary differential equations from measured data with known bounds on the noise of the measurements. LÄS MER