"Ordinary Differential Equations and Dynamical Systems" by Gerald Teschl offers a comprehensive introduction to the field, blending classical theory with a dynamical systems perspective. The book is structured into three parts, covering: 1) Classical theory of ODEs, including initial value problems and linear equations; 2) Dynamical systems, introducing concepts like stability, the Poincare-Bendixson theorem, and examples from various fields; and 3) Chaos, exploring interval maps and homoclinic orbits.
English
9781470425869
Science. Ordinary differential equations. Dynamical systems theory.