The following are textbooks with lots of great material about chaos theory and applications.  I have each of these books in my personal library.  The books are very well written and are quite readable.  I strongly recommend that you plan to read at least some of them.

 

Alligood, Kathleen, et al. : CHAOS – AN INTRODUCTION TO DYNAMICAL SYSTEMS, Springer, 1996.

Baker, G.L. and Gollub, J.P. : CHAOTIC  DYNAMICS – AN INTRODUCTION, 2nd Ed., Cambridge, 1996.

Buscarino, Arturo, et al. :  A CONCISE GUIDE TO CHAOTIC ELECTRONIC CIRCUITS, Springer, 2014.

Davies, Brian :  EXPLORING CHAOS – THEORY AND EXPERIMENT, Westview, 2004.

Gleick, James : CHAOS – MAKING A NEW SCIENCE, Penguin Books, 1988.

Hall, Nina, ed. : EXPLORING CHAOS – A GUIDE TO THE NEW SCIENCE OF DISORDER,  W.W. Norton & Co., 1991.

Hirsch, Morris W., et al. : DIFFERENTIAL EQUATIONS, DYNAMICAL SYSTEMS & AN INTRODUCTION TO CHAOS, 2nd ed., Elsevier, 2004.

Kapitaniak, T. : CHAOS FOR ENGINEERS – THEORY, APPLICATIONS, AND CONTROL, 2nd rev. ed., Springer, 2000. 

Kiliç, Recai : A PRACTICAL GUIDE FOR STUDYING CHUA’S CIRCUIT, World Scientific, 2010.

Korsch, Hans J., et. al. : CHAOS – A PROGRAM COLLECTION FOR THE PC, 3rd ed., Springer, 2008.

Lorenz, Edward N. : THE ESSENCE OF CHAOS, Univ. of Washington Press, 1993.

Moon, Francis C. : CHAOTIC VIBRATIONS, John Wiley & Sons, 1987.

Moon,Francis C. : CHAOTIC AND FRACTAL DYNAMICS, John Wiley & Sons, 1992.

Sprott, Julien Clinton :         STRANGE ATTRACTORS – CREATING PATTERNS IN CHAOS, M & T Books, 1993.

Sprott, Julien Clinton : CHAOS AND TIME-SERIES ANALYSIS, Oxford University Press, 2003.

Sprott, Julien Clinton : ELEGANT CHAOS, World Scientific, 2010.

Strogatz, Steven H. : NONLINEAR DYNAMICS AND CHAOS, Addison Wesley, 1994.

Williams, Garnett P. : CHAOS THEORY TAMED, Joseph Henry Press, 1997.