NORMAL FORM SOLUTION OF REDUCED ORDER OSCILLATING SYSTEMS

High-order Computation and Normal Form Analysis of Repetitive Systems

Besides the mere tracking of individual particles through an accelerator lattice, it is often helpful to study the corresponding phase space map relating initial and final coordinates. Recent years have seen an advance in the ability to compute high-order maps for rather complex systems including accelerator lattices. Besides providing insight, the maps allow treatment of the lattice without ap...

Unique Normal Form Property of Higher-Order Rewriting Systems

Within the framework of Higher-Order Rewriting Systems proposed by van Oostrom, a su cient condition for the unique normal form property is presented. This requires neither left-linearity nor termination of the system.

Approximating solution of fully fuzzy linear systems in dual form

Determining the order of minimal realization of descriptor systems without use of the Weierstrass canonical form

A common method to determine the order of minimal realization of a continuous linear time invariant descriptor system is to decompose it into slow and fast subsystems using the Weierstrass canonical form. The Weierstrass decomposition should be avoided because it is generally an ill-conditioned problem that requires many complex calculations especially for high-dimensional systems. The present ...

approximating solution of fully fuzzy linear systems in dual form

Normal Form Theorem for Systems of Sequents

In a system of sequents for intuitionistic predicate logic a theorem, which corresponds to Prawitz’s Normal Form Theorem for natural deduction, are proved. In sequent derivations a special kind of cuts, maximum cuts, are defined. Maximum cuts from sequent derivations are connected with maximum segments from natural deduction derivations, i.e., sequent derivations without maximum cuts correspond...