Seminar on Differential Equations and Dynamical Systems: Part 2: Seminar Lectures at the University of Maryland 1969

ISBN-13: 9783540049333 / Angielski / Miękka / 1970 / 272 str.

James A. Yorke

Spis treści

On stability of closed sets in dynamical systems.- Optimal control and linear functional differential equations.- Perturbation of systems with global existence.- Asymptotic recurrence and dynamical flow near a compact minimal set.- Remarks on integral stability.- The variable gradiant as a tool in the study of stability.- On a representation of linear continuous operators defined on distributions.- Function differential equations: Examples and problems.- Maximum sustainable yields as a control problem in integral equations.- Domains of stability for integral manifolds.- Stability in n-dimensional differential-delay equations.- Prolongations in topological dynamics.- Hyperstability, oscillations and optimal stabilization.- Absolutely stable differential equations which are not integrally stable.- On linear functional differential equations.- Uniformly asymptotic stability and total stability.- Absolute stability of control systems with multiple feedback.- Global solutions of functional differential equations.- Boundary value problems for second order differential equations.- Non-trivial minimal sets — a survey.- Subharmonics in hamiltonian systems.- Some properties of the control systems with irreducible matrix — Transfer functions.- Controllability of linear oscillatory systems using positive controls.- Relative stability and stability of closed sets.- Mathematical problems of space rescue.- Periodic solutions of functional differential equations.- On the existence of periodic solutions of functional differential equations.- A discussion of the linearization of volterra integral equations.- A stability problem in linear differential games.- Stability criterion for periodic families.- Liapunov functions on the region of unstable weak attraction.- Controllability for various linear and nonlinear system models.- An existence theorem for a periodic solution of perturbed periodic systems.- The period of periodic solutions and charged particles in magnetic fields.