Publication of the textbook “Nonlinear dynamics” (A. Amon and M. Lefranc)
DYSCO Actualités scientifiques Vie du labo Parutions
Many systems, even very simple ones, can exhibit complex and counter-intuitive dynamics when they are nonlinear. Self-oscillations, bistability, chaos or turbulence are just some of the behaviors that dynamical systems theory, or nonlinear dynamics, aims to describe using universal concepts that do not depend on the physical details of the object under study. Since the work of Pierre Glorieux in the 1980s, this has been a very active research theme at PhLAM, particularly in the DYSCO team. It is taught at various levels in the physics department, but not only, and in particular in the master's program Photonics, Complex and Quantum Systems (PhoCQS).
The course book "Nonlinear dynamics", written by Axelle Amon, lecturer at the University of Rennes 1 and former PhLAM doctoral student (2000-2003), and Marc Lefranc, PhLAM professor, has just been published by de Gruyter. It aims to provide students with the essentials of this discipline and a solid foundation, in a compact but comprehensive format. It is based on courses given by the authors at their respective universities, notably as part of the PhoCQS master's program, and is richly illustrated. It should prove useful not only to those wishing to discover this fascinating field, but also to those looking for a concise, coherent overview of the field. The six chapters are complemented by a wealth of exercises.
Link: https://www.degruyter.com/document/doi/10.1515/9783110677874/html