Dynamical Systems And Evolution Equations

by Saïd Abbas (Author), Mouffak Benchohra (Author)

The book provides an updated overview of the recent developments in the various different fields of nonlinear dynamics, covering both theory and applications. Special emphasis is given to algebraic and geometric integrability, solutions to the N-body problem of the "choreography" type, geometry and symmetry of dynamical systems, integrable evolution equations, various different perturbation theories, and bifurcation analysis.

This is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. This book is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers

Machine Learning, Data-Driven Engineering, Wavelet Analysis, Fourier Transforms, and Dynamical Systems