Bibliography
The following books are highly recommended to deepen and broaden that we have touched on. We borrowed from them many ideas and examples, especially from the remarkable book by Strogatz.
V. Arnold.
Ordinary differential equations.
Springer-Verlag, 2006.
M. Hirsch, S. Smale, R. Devaney.
Differential equations, dynamical systems, and an introduction to chaos.
Elsevier/Academia Press, 2013.
J. Hubbard, B. West.
Differential equations: a dynamical systems approach.
Vol. 1: Ordinary differential equations. Vol. 2: Higher-dimensional systems.
Springer-Verlag, 1995.
S. Strogatz.
Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering.
Perseus Books, 1994.