Lyapunov Exponents A Tool to Explore Complex Dynamics
Produktdetaljer
Biografisk notat
Arkady Pikovsky is Professor of Theoretical Physics at the University of Potsdam. He is a member of the editorial board for Physica D and Chaotic and Complex Systems Editor for the Journal of Physics A: Mathematical and Theoretical. He is a Fellow of the American Physical Society and co-author of Synchronization: A Universal Concept in Nonlinear Sciences. His current research focuses on nonlinear physics of complex systems. Antonio Politi is the 6th Century Chair in Physics of Life Sciences at the University of Aberdeen. He is Associate Editor of Physical Review E, a Fellow of the Institute of Physics and of the American Physical Society and was awarded the Gutzwiller Prize by the Max Planck Institute for Complex Systems in Dresden, and the Humboldt Prize. He is co-author of Complexity: Hierarchical Structures and Scaling in Physics.'… it should be required reading for anyone seriously engaged in the quantitative analysis of the dynamics of complex systems.' Robert C. Hilborn, Physics Today
'This book is written for mainly a physics audience but mathematicians may find inspiration seeing how to deal with Lyapunov exponents in practice. The book gives a very comprehensive overview of the currently available tools to explore dynamical systems through the numerical study of Lyapunov exponents, Lyapunov spectra and the extraction of the corresponding Oseledets splitting. Indeed mathematical results assure the existence of exponents and the splitting for a given invariant probability measure but give few clues as to how one may compute, in particular, the splitting. This is dealt with in much detail in the book.' Hans Henrik Rugh, Mathematical Reviews