About the book
The theory of modern dynamical systems may be dated back to 1890 with the studies by Poincaré on celestial mechanics that laid rigorous foundations for the global analysis of nonlinear differential equations. The tradition was continued by Birkhoff in the US with his pivotal work on periodic orbits and flourished especially in Russia thanks to the Moscow School by Liapunov, Andronov, Pontryagin, and others. In the 60's the field was further revived by the emergence of the theory of chaotic attractors, and in modern years by the development of sophisticated computational methods that enable us accurate computer simulations.
The book intends to provide the reader with a comprehensive overview of the current state-of-the-art in the theory of dynamical systems, presenting some of the most significant advances of the last years alongside the definition of new models, computer algorithms and applications in areas such as medicine, chemistry, physics, neuroscience and biology. Researchers, engineers, and graduate students in both pure and applied mathematics may benefit from the papers collected in this volume.