InhaltsangabeI. Bifurcation Theory by V.I.Arnol'd, V.S.Afrajmovich, Yu.S.Il'yashenko, L.P.Shil'nikov: Preface.- 1. Bifurcations of Equilibria.- 2. Bifurcations of Limit Cycles.- 3. Nonlocal Bifurcations.- 4. Relaxation Oscillations.- Recommended Literature.- References II. Catastrophe Theory by V.I.Arnol'd: 1. Basic Concepts.- 2. The Theory of Catastrophes Before Poincaré.- 3. The Theory of Bifurcations in the Work of Poincaré.- 4. The Theory of Bifurcations in the Work of A.A.Andronov.- 5. Physicists' Treatment of Catastrophes Before Catastrophe Theory.- 6. Thom's Conjecture.- 7. Classifications of Singularities and Catastrophes.- Recommended Literature.- References