Recent Trends in Dynamical Systems

This book presents the proceedings of a conference on dynamical systems held in honor of Jürgen Scheurle in January 2012. Through both original research papers and survey articles leading experts in the field offer overviews of the current state of the theory and its applications to mechanics and physics. In particular, the following aspects of the theory of dynamical systems are covered: - Stability and bifurcation - Geometric mechanics and control theory - Invariant manifolds, attractors and chaos - Fluid mechanics and elasticity - Perturbations and multiscale problems - Hamiltonian dynamics and KAM theory Researchers and graduate students in dynamical systems and related fields, including engineering, will benefit from the articles presented in this volume.

This book presents the proceedings of a conference on dynamical systems held in honor of Jürgen Scheurle in January 2012. Through both original research papers and survey articles leading experts in the field offer overviews of the current state of the theory and its applications to mechanics and physics. In particular, the following aspects of the theory of dynamical systems are covered:

- Stability and bifurcation
- Geometric mechanics and control theory
- Invariant manifolds, attractors and chaos
- Fluid mechanics and elasticity
- Perturbations and multiscale problems
- Hamiltonian dynamics and KAM theory​

Researchers and graduate students in dynamical systems and related fields, including engineering, will benefit from the articles presented in this volume.

Contributors:

Fred C. Adams
Henk W. Broer
Anthony M. Bloch
Tomas Caraballo
David R.J. Chillingworth
Freddy Dumortier
Messoud Efendiev
Tor Flå
Peter A. Giesl
Christoph Glocker
Alexandra Goeke
John Guckenheimer
Sigurdur Hafstein
Heinz Hanßmann
Darryl D. Holm
Hany A. Hosham
Eric W. Justh
Peter E. Kloeden
P. S. Krishnaprasad
Martin Kružík
Tassilo Küpper
Alexander Mielke
James Montaldi
Philip J. Morrison
Jonathan Munn
Arne B. Nordmark
Marius Paicu
Tudor S. Ratiu
Geneviève Raugel
Sebastian Reich
Michael Renardy
Florian H.-H. Rupp
Björn Sandstede
Samuel N. Stechmann
Tadashi Tokieda
André Vanderbauwhede
Sebastian Walcher
Daniel Weiss
Clemens Woywod
Jiangong You
Fumin Zhang
Anna Zhigun
Johannes Zimmer