Complex Nonlinear Dynamics and Computational Methods
Title | Complex Nonlinear Dynamics and Computational Methods PDF eBook |
Author | |
Publisher | |
Pages | |
Release | 2000 |
Genre | |
ISBN |
Complex nonlinear dynamics and computational methods
Title | Complex nonlinear dynamics and computational methods PDF eBook |
Author | W... Davis Dechert |
Publisher | |
Pages | 1144 |
Release | 2000 |
Genre | Nonlinear theories |
ISBN |
Special Triple Issue: Complex Nonlinear Dynamics and Computational Methods
Title | Special Triple Issue: Complex Nonlinear Dynamics and Computational Methods PDF eBook |
Author | |
Publisher | |
Pages | 494 |
Release | 2000 |
Genre | |
ISBN |
Nonlinear Systems, Vol. 1
Title | Nonlinear Systems, Vol. 1 PDF eBook |
Author | Victoriano Carmona |
Publisher | Springer |
Pages | 428 |
Release | 2018-09-15 |
Genre | Science |
ISBN | 3319667661 |
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.
Computational Methods for Nonlinear Dynamical Systems
Title | Computational Methods for Nonlinear Dynamical Systems PDF eBook |
Author | Xuechuan Wang |
Publisher | Elsevier |
Pages | 242 |
Release | 2022-09-28 |
Genre | Mathematics |
ISBN | 0323991149 |
Computational Methods for Nonlinear Dynamical Systems: Theory and Applications in Aerospace Engineering proposes novel ideas and develops highly-efficient and accurate methods for solving nonlinear dynamic systems, drawing inspiration from the weighted residual method and the asymptotic method. Proposed methods can be used both for real-time simulation and the analysis of nonlinear dynamics in aerospace engineering. The book introduces global estimation methods and local computational methods for nonlinear dynamic systems. Starting from the classic asymptotic, finite difference and weighted residual methods, typical methods for solving nonlinear dynamic systems are considered. In addition, new high-performance methods are proposed, such as time-domain collocation and local variational iteration. The book summarizes and develops computational methods for strongly nonlinear dynamic systems and considers the practical application of the methods within aerospace engineering. Presents global methods for solving periodic nonlinear dynamical behaviors Gives local methods for solving transient nonlinear responses Outlines computational methods for linear, nonlinear, ordinary and partial differential equations Emphasizes the development of accurate and efficient numerical methods that can be used in real-world missions Reveals practical applications of methods through orbital mechanics and structural dynamics
Nonlinear Dynamics in Complex Systems
Title | Nonlinear Dynamics in Complex Systems PDF eBook |
Author | Armin Fuchs |
Publisher | Springer Science & Business Media |
Pages | 237 |
Release | 2012-09-22 |
Genre | Technology & Engineering |
ISBN | 3642335527 |
With many areas of science reaching across their boundaries and becoming more and more interdisciplinary, students and researchers in these fields are confronted with techniques and tools not covered by their particular education. Especially in the life- and neurosciences quantitative models based on nonlinear dynamics and complex systems are becoming as frequently implemented as traditional statistical analysis. Unfamiliarity with the terminology and rigorous mathematics may discourage many scientists to adopt these methods for their own work, even though such reluctance in most cases is not justified. This book bridges this gap by introducing the procedures and methods used for analyzing nonlinear dynamical systems. In Part I, the concepts of fixed points, phase space, stability and transitions, among others, are discussed in great detail and implemented on the basis of example elementary systems. Part II is devoted to specific, non-trivial applications: coordination of human limb movement (Haken-Kelso-Bunz model), self-organization and pattern formation in complex systems (Synergetics), and models of dynamical properties of neurons (Hodgkin-Huxley, Fitzhugh-Nagumo and Hindmarsh-Rose). Part III may serve as a refresher and companion of some mathematical basics that have been forgotten or were not covered in basic math courses. Finally, the appendix contains an explicit derivation and basic numerical methods together with some programming examples as well as solutions to the exercises provided at the end of certain chapters. Throughout this book all derivations are as detailed and explicit as possible, and everybody with some knowledge of calculus should be able to extract meaningful guidance follow and apply the methods of nonlinear dynamics to their own work. “This book is a masterful treatment, one might even say a gift, to the interdisciplinary scientist of the future.” “With the authoritative voice of a genuine practitioner, Fuchs is a master teacher of how to handle complex dynamical systems.” “What I find beautiful in this book is its clarity, the clear definition of terms, every step explained simply and systematically.” (J.A.Scott Kelso, excerpts from the foreword)
Nonlinear Dynamics in Computational Neuroscience
Title | Nonlinear Dynamics in Computational Neuroscience PDF eBook |
Author | Fernando Corinto |
Publisher | Springer |
Pages | 150 |
Release | 2018-06-19 |
Genre | Technology & Engineering |
ISBN | 3319710486 |
This book provides an essential overview of computational neuroscience. It addresses a broad range of aspects, from physiology to nonlinear dynamical approaches to understanding neural computation, and from the simulation of brain circuits to the development of engineering devices and platforms for neuromorphic computation. Written by leading experts in such diverse fields as neuroscience, physics, psychology, neural engineering, cognitive science and applied mathematics, the book reflects the remarkable advances that have been made in the field of computational neuroscience, an emerging discipline devoted to the study of brain functions in terms of the information-processing properties of the structures forming the nervous system. The contents build on the workshop “Nonlinear Dynamics in Computational Neuroscience: from Physics and Biology to ICT,” which was held in Torino, Italy in September 2015.