Arnold, V. I., Ordinary Differential Equations
Differential Equations, Dynamical Systems, and an Introduction to Chaos by Morris W. Hirsch, Stephen Smale and Robert L. Devaney
Fred Brauer, John A. Nohel – The Qualitative Theory of Ordinary Differential Equations
Nonlinear ordinary differential equations by Dominic Jordan, Peter Smith
Guckenheimer, J. C., and Holmes, P., Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
Hubbard, J. H., and West, B. H., Differential Equations: A Dynamical Systems Approach, Higher Dimensional Systems
LaSalle, J., and Lefschetz, S., Stability by Liapunov’s Direct Method with Applications
Sparrow, C., The Lorenz Equations: Bifurcations, Chaos, and Strange Attractors
Stephen Wiggins – Introduction to Applied Nonlinear Dynamical Systems and Chaos
Methods:
Zwillinger, D Handbook of Differential Equations
A Neighbourhood Of Infinity 