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Nonlinear Systems, Vol. 1 : Mathematical Theory and Computational Methods / edited by Victoriano Carmona, Jesús Cuevas-Maraver, Fernando Fernández-Sánchez, Elisabeth García- Medina

Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Understanding Complex Systems | SpringerLink BücherPublisher: Cham : Springer International Publishing, 2018Description: Online-Ressource (XV, 424 p. 139 illus., 115 illus. in color, online resource)ISBN:
  • 9783319667669
Subject(s): Genre/Form: Additional physical formats: 9783319667652 | 9783319667676 | Erscheint auch als: 978-3-319-66765-2 Druck-Ausgabe | Printed edition: 9783319667652 | Printed edition: 9783319667676 DDC classification:
  • 621
LOC classification:
  • QC174.7-175.36
DOI: DOI: 10.1007/978-3-319-66766-9Online resources: Summary: 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 opticsSummary: Part 1 - Bifurcation Analysis -- Analytic integrability of some degenerate centers -- Analysis of the Hopf-zero bifurcation and their degenerations in a quasi-Lorenz system -- Normal forms for a class of tridimensional vector fields with free-divergence in its first component -- Takens-Bogdanov bifurcations and resonances of periodic orbits in the Lorenz system -- Part 2 - Wave Equations -- Solitons and vortices in the Nonlinear Dirac Equation -- Stochastic Korteweg - de Vries type equations -- Exact and adiabtic invariants of KdV type equations -- Gravitational waves as nonlinear waves and solitons -- Part 3 - Other Differential and Difference Equations -- On the dynamics of the nonlinear logistic difference equation with two delays -- Simplifying singular perturbation theory in the canard regime using piecewise-linear (PWL) systems -- Principal solutions and variation of constants formula for a class of functional differential equations -- Diffusion Equations in Inhomogeneous Media from the Master Equation -- Part 4 - Computational Methods -- On the numerical approximation to generalized Ostrovsky equations -- Simulation of Laser Dynamics with Cellular Automata: progress and challengesPPN: PPN: 1031840540Package identifier: Produktsigel: ZDB-2-PHA | ZDB-2-SEB | ZDB-2-SXP
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