zbMATH — the first resource for mathematics

Nonlinear differential equations and dynamical systems. 2nd rev. a. exp. ed. (English) Zbl 0854.34002
Berlin: Springer. viii, 306 p. (1996).
The first English edition (1990) has been reviewed in Zbl 0685.34002. From the preface to this edition: “A number of corrections, in particular to ‘Answers and hints to the exercises’ were sent to me by attentive readers. Also, quite a number of theorems, proofs and examples have been added to the text along with three new appendices. Chapter 14 on chaos and chapter 15 on Hamiltonian systems have been revised completely”.

34-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations
37-XX Dynamical systems and ergodic theory
34D20 Stability of solutions to ordinary differential equations
34D10 Perturbations of ordinary differential equations
34E10 Perturbations, asymptotics of solutions to ordinary differential equations
34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
34C25 Periodic solutions to ordinary differential equations
70H05 Hamilton’s equations