Integrability and Chaos - algebraic and geometric approach
Mathematical Physics
2008-10-31 v2 math.MP
Chaotic Dynamics
Abstract
This thesis presents two descriptions of complexity in dynamical systems. The algebraic approach deals with the differential Galois group theory and its restrictions on integrability. The geometric part is a formulation of dynamics in the language of differential geometry with particular application to Lyapunov exponents and variational equations. The algorithm for calculating the Lyapunov spectrum is illustrated with three examples.
Cite
@article{arxiv.0810.2968,
title = {Integrability and Chaos - algebraic and geometric approach},
author = {Tomasz Stachowiak},
journal= {arXiv preprint arXiv:0810.2968},
year = {2008}
}
Comments
PhD thesis. 41 pages, 9 figures