Glendinning P. Stability, instability and chaos: An introduction to the theory of nonlinear differential equations

Cambridge University Press, 1994. — 398 p.By providing an introduction to nonlinear differential equations, Dr. Glendinning aims to equip the student with the mathematical know-how needed to appreciate stability theory and bifurcations. His approach is readable and covers material both old and new to undergraduate courses. Included are treatments of the Poincaré-Bendixson theorem, the Hopf bifurcation and chaotic systems.