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This book contains a selected collection of papers providing an
overview of the state of the art in the study of dynamical systems.
A broad range of aspects of dynamical systems is covered, focusing
on discrete and continuous dynamical systems, bifurcation theory,
celestial mechanics, delay difference and differential equations,
Hamiltonian systems and also the classic challenges in planar
vector fields. Particular attention has been posed on real-world
applications of dynamical systems, showing the constant interaction
of the field with other sciences. The authors have made a special
effort in placing the reader at the frontiers of current knowledge
in the discipline. In this way, recent advances and new trends
become available. The papers are based on talks given at the
International Conference Dynamical Systems: 100 years after
Poincare held at the University of Oviedo, Gijon (Spain), on
September 3-7, 2012. Recent advances and new trends have been
discussed during the meeting, including applications to a wide
range of disciplines such as Biology, Chemistry, Physics and
Economics, among others. The memory of Poincare, who laid the
foundations of dynamical systems, provided the backdrop for the
discussion of the new challenges 100 years after his death.
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