Nonlinear Dynamics And Chaos

Author: Steven H. Strogatz
Publisher: CRC Press
ISBN: 0429961111
Size: 37.76 MB
Format: PDF, ePub, Mobi
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This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

System Identification Environmental Modelling And Control System Design

Author: Liuping Wang
Publisher: Springer Science & Business Media
ISBN: 9780857299741
Size: 73.21 MB
Format: PDF, Mobi
View: 6999
This book is dedicated to Prof. Peter Young on his 70th birthday. Professor Young has been a pioneer in systems and control, and over the past 45 years he has influenced many developments in this field. This volume comprises a collection of contributions by leading experts in system identification, time-series analysis, environmetric modelling and control system design – modern research in topics that reflect important areas of interest in Professor Young’s research career. Recent theoretical developments in and relevant applications of these areas are explored treating the various subjects broadly and in depth. The authoritative and up-to-date research presented here will be of interest to academic researcher in control and disciplines related to environmental research, particularly those to with water systems. The tutorial style in which many of the contributions are composed also makes the book suitable as a source of study material for graduate students in those areas.

Nonlinear Dynamics Volume 1

Author: Gaetan Kerschen
Publisher: Springer
ISBN: 3319297392
Size: 33.86 MB
Format: PDF, Kindle
View: 4718
Nonlinear Dynamics, Volume 1. Proceedings of the 34th IMAC, A Conference and Exposition on Dynamics of Multiphysical Systems: From Active Materials to Vibroacoustics, 2016, the fi rst volume of ten from the Conference, brings together contributions to this important area of research and engineering. Th e collection presents early fi ndings and case studies on fundamental and applied aspects of Structural Dynamics, including papers on: • Nonlinear Oscillations • Nonlinear Modal Analysis • Nonlinear System Identifi cation • Nonlinear Modeling & Simulation • Nonlinearity in Practice • Nonlinearity in Multi-Physics Systems • Nonlinear Modes and Modal Interactions

Chaos And Its Reconstruction

Author: Gérard Gouesbet
Publisher: Nova Science Pub Incorporated
Size: 25.30 MB
Format: PDF, ePub, Docs
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The editors (of the Universite et Institut National des Sciences Appliquees de Rouen, France) present six chapters exploring the application of chaos theory to such topics as the topological characterisation of attractors and the reconstruction of equations of motion from data. Specific topics include the development of a method of modelling called NARMAX (non-linear autoregressive moving average models with exogenous outputs), a summary of the work of the Centre of Applied Dynamics and Optimisation at the U. of Western Australia), time delayed feedback systems, and global modelling applications to biological data and secure communication.

Mathematical Methods For The Natural And Engineering Sciences

Author: Ronald E Mickens
Publisher: World Scientific Publishing Company
ISBN: 9813106247
Size: 22.39 MB
Format: PDF, ePub
View: 4876
This book provides a variety of methods required for the analysis and solution of equations which arise in the modeling of phenomena from the natural and engineering sciences. It can be used productively by both undergraduate and graduate students, as well as others who need to learn and understand these techniques. A detailed discussion is also presented for several topics that are usually not included in standard textbooks at this level: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations, and various perturbation methods. Each chapter contains a large number of worked examples and provides references to the appropriate literature.

Toward A Unified Theory Of Development

Author: John P. Spencer
Publisher: Oxford University Press, USA
Size: 31.12 MB
Format: PDF, Kindle
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This resource defines and refines two major theoretical approaches within developmental science that address the central issues of development-connectionism and dynamical systems theory.