Preface to the English Language Edition |
Existence and Continuity Theorems / Part One: |
Existence theorems / 1: |
Certain uniqueness and continuity theorems / 2: |
Dynamical systems defined by a system of differential equations / 3: |
Regular families of integral curves / 4: |
Fields of linear elements / 5: |
Integral Curves of a System of Two Differental Equations / Chapter 2: |
General properties of integral curves in the plane |
Trajectories on a torus |
Geometrical classification of singular points |
Analytic criteria for various types of singular points |
Systems of n Differential Equations (the Asymptotic Behaviour of Solutions) / Chapter 3: |
Introduction |
Qualitative study of systems with constant coefficients and of reducible systems |
A Study of Neighborhoods of Singular Points and of Periodic Solutions of Systems of n Differential Equations / Chapter 4: |
Singular points in the analytic case |
Lyapunov stability |
The behavior of the trajectories in the neighborhood of a closed trajectory |
The method of surfaces of section |
Bibliography to Part One |
Appendix to Part One |
Problems of the qualitative Theory of Differential Equations / V. V. Nemickii |
Index to Part One |
General Theory of Dynamical Systems / Part Two: |
Metric spaces |
General properties and local structure of dynamical systems |
omega- and alpha-limit points |
Stability acording to Poisson |
Regional recurrence. Central motions |
Minimal center of attraction / 6: |
Minimal sets and recurrent motions / 7: |
Almost periodic motions / 8: |
Asymptotic trajectories / 9: |
Completely unstable dynamical systems / 10: |
Dynamical systems stable according to Lyapunov / 11: |
Systems with an Integral Invariant / Chapter 6: |
Definition of an integral invariant |
Measure of Caratheodory |
Recurrence theorems |
Theorms of E. Hopf |
G. D. Birkihoff's ergodic theorem |
Supplement to the ergodic theorem |
Statistical ergodic theorems |
Generalizations of the ergodic theorem |
Invariant measures of an arbitrary dynamical system |
Bibliography to Part Two |
Index to Part Two |
Preface to the English Language Edition |
Existence and Continuity Theorems / Part One: |
Existence theorems / 1: |