Nonlinear Systems, Vol. 1 Mathematical Theory and Computational Methods /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Carmona, Victoriano (Editor, http://id.loc.gov/vocabulary/relators/edt), Cuevas-Maraver, Jesús (Editor, http://id.loc.gov/vocabulary/relators/edt), Fernández-Sánchez, Fernando (Editor, http://id.loc.gov/vocabulary/relators/edt), García- Medina, Elisabeth (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Understanding Complex Systems,
• Subjects: Statistical physics.; Mathematical physics.; Applied mathematics.; Engineering mathematics.; System theory.; Applications of Nonlinear Dynamics and Chaos Theory.; Mathematical Physics.; Mathematical and Computational Engineering.; Mathematical Applications in the Physical Sciences.; Complex Systems.; Statistical Physics and Dynamical Systems.
• Physical Description: XV, 424 p. 139 illus., 115 illus. in color. online resource.
• ISBN: 9783319667669
• ISSN: 1860-0832
• DOI: 10.1007/978-3-319-66766-9

This book is part of a two volume set which presents the analysis of nonlinear phenomena as a long-standing challenge for research in basic and applied science as well as engineering. It discusses nonlinear differential and differential equations, bifurcation theory for periodic orbits and global connections. The integrability and reversibility of planar vector fields and theoretical analysis of classic physical models are sketched. This first volume concentrates on the mathematical theory and computational techniques that are essential for the study of nonlinear science, a second volume deals with real-world nonlinear phenomena in condensed matter, biology and optics.