Poincar Andronov Melnikov Analysis for Non Smooth Systems

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  • Author : Michal Feckan
  • Publisher : Anonim
  • Pages : 123 pages
  • ISBN : 9780128042946
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKPoincar Andronov Melnikov Analysis for Non Smooth Systems

Poincaré-Andronov-Melnikov Analysis for Non-Smooth Systems

Poincaré-Andronov-Melnikov Analysis for Non-Smooth Systems
  • Author : Michal Fečkan,Michal Pospíšil
  • Publisher : Academic Press
  • Release : 07 June 2016
GET THIS BOOKPoincaré-Andronov-Melnikov Analysis for Non-Smooth Systems

Poincaré-Andronov-Melnikov Analysis for Non-Smooth Systems is devoted to the study of bifurcations of periodic solutions for general n-dimensional discontinuous systems. The authors study these systems under assumptions of transversal intersections with discontinuity-switching boundaries. Furthermore, bifurcations of periodic sliding solutions are studied from sliding periodic solutions of unperturbed discontinuous equations, and bifurcations of forced periodic solutions are also investigated for impact systems from single periodic solutions of unperturbed impact equations. In addition, the book presents studies for weakly coupled discontinuous

Modeling, Analysis And Control Of Dynamical Systems With Friction And Impacts

Modeling, Analysis And Control Of Dynamical Systems With Friction And Impacts
  • Author : Olejnik Pawel,Feckan Michal,Awrejcewicz Jan
  • Publisher : #N/A
  • Release : 07 July 2017
GET THIS BOOKModeling, Analysis And Control Of Dynamical Systems With Friction And Impacts

This book is aimed primarily towards physicists and mechanical engineers specializing in modeling, analysis, and control of discontinuous systems with friction and impacts. It fills a gap in the existing literature by offering an original contribution to the field of discontinuous mechanical systems based on mathematical and numerical modeling as well as the control of such systems. Each chapter provides the reader with both the theoretical background and results of verified and useful computations, including solutions of the problems of

Mathematical Modelling in Health, Social and Applied Sciences

Mathematical Modelling in Health, Social and Applied Sciences
  • Author : Hemen Dutta
  • Publisher : Springer Nature
  • Release : 29 February 2020
GET THIS BOOKMathematical Modelling in Health, Social and Applied Sciences

This book discusses significant research findings in the field of mathematical modelling, with particular emphasis on important applied-sciences, health, and social issues. It includes topics such as model on viral immunology, stochastic models for the dynamics of influenza, model describing the transmission of dengue, model for human papillomavirus (HPV) infection, prostate cancer model, realization of economic growth by goal programming, modelling of grazing periodic solutions in discontinuous systems, modelling of predation system, fractional epidemiological model for computer viruses, and nonlinear

Elements of Applied Bifurcation Theory

Elements of Applied Bifurcation Theory
  • Author : Yuri Kuznetsov
  • Publisher : Springer Science & Business Media
  • Release : 09 March 2013
GET THIS BOOKElements of Applied Bifurcation Theory

Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and,

Dynamics and Bifurcations of Non-Smooth Mechanical Systems

Dynamics and Bifurcations of Non-Smooth Mechanical Systems
  • Author : Remco I. Leine,Henk Nijmeijer
  • Publisher : Springer Science & Business Media
  • Release : 19 March 2013
GET THIS BOOKDynamics and Bifurcations of Non-Smooth Mechanical Systems

This monograph combines the knowledge of both the field of nonlinear dynamics and non-smooth mechanics, presenting a framework for a class of non-smooth mechanical systems using techniques from both fields. The book reviews recent developments, and opens the field to the nonlinear dynamics community. This book addresses researchers and graduate students in engineering and mathematics interested in the modelling, simulation and dynamics of non-smooth systems and nonlinear dynamics.

Ordinary Differential Equations and Dynamical Systems

Ordinary Differential Equations and Dynamical Systems
  • Author : Gerald Teschl
  • Publisher : American Mathematical Soc.
  • Release : 30 August 2012
GET THIS BOOKOrdinary Differential Equations and Dynamical Systems

This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first part begins with some simple examples of explicitly solvable equations and a first glance at qualitative methods. Then the fundamental results concerning the initial value problem are proved: existence, uniqueness, extensibility, dependence on initial conditions. Furthermore, linear equations are considered, including the Floquet theorem, and some perturbation results. As somewhat independent topics, the Frobenius method for linear equations in the

Non-Smooth Dynamical Systems

Non-Smooth Dynamical Systems
  • Author : Markus Kunze
  • Publisher : Springer
  • Release : 06 May 2007
GET THIS BOOKNon-Smooth Dynamical Systems

The book provides a self-contained introduction to the mathematical theory of non-smooth dynamical problems, as they frequently arise from mechanical systems with friction and/or impacts. It is aimed at applied mathematicians, engineers, and applied scientists in general who wish to learn the subject.

Handbook of Global Analysis

Handbook of Global Analysis
  • Author : Demeter Krupka,David Saunders
  • Publisher : Elsevier
  • Release : 11 August 2011
GET THIS BOOKHandbook of Global Analysis

This is a comprehensive exposition of topics covered by the American Mathematical Society’s classification “Global Analysis , dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics. This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable

Bifurcation and Chaos in Nonsmooth Mechanical Systems

Bifurcation and Chaos in Nonsmooth Mechanical Systems
  • Author : Jan Awrejcewicz,Claude-Henri Lamarque
  • Publisher : World Scientific
  • Release : 17 September 2021
GET THIS BOOKBifurcation and Chaos in Nonsmooth Mechanical Systems

This book presents the theoretical frame for studying lumped nonsmooth dynamical systems: the mathematical methods are recalled, and adapted numerical methods are introduced (differential inclusions, maximal monotone operators, Filippov theory, Aizerman theory, etc.). Tools available for the analysis of classical smooth nonlinear dynamics (stability analysis, the Melnikov method, bifurcation scenarios, numerical integrators, solvers, etc.) are extended to the nonsmooth frame. Many models and applications arising from mechanical engineering, electrical circuits, material behavior and civil engineering are investigated to illustrate theoretical

Nonlinear Ordinary Differential Equations

Nonlinear Ordinary Differential Equations
  • Author : Dominic Jordan,P. Smith,Peter Smith
  • Publisher : Oxford University Press on Demand
  • Release : 23 August 2007
GET THIS BOOKNonlinear Ordinary Differential Equations

Thoroughly updated and expanded 4th edition of the classic text, including numerous worked examples, diagrams and exercises. An ideal resource for students and lecturers in engineering, mathematics and the sciences it is published alongside a separate Problems and Solutions Sourcebook containing over 500 problems and fully-worked solutions.

Nonlinear Dynamics and Chaos

Nonlinear Dynamics and Chaos
  • Author : Steven H. Strogatz
  • Publisher : CRC Press
  • Release : 04 May 2018
GET THIS BOOKNonlinear Dynamics and Chaos

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.

Theory of Oscillators

Theory of Oscillators
  • Author : A. A. Andronov,A. A. Vitt,S. E. Khaikin
  • Publisher : Elsevier
  • Release : 22 October 2013
GET THIS BOOKTheory of Oscillators

Theory of Oscillators presents the applications and exposition of the qualitative theory of differential equations. This book discusses the idea of a discontinuous transition in a dynamic process. Organized into 11 chapters, this book begins with an overview of the simplest type of oscillatory system in which the motion is described by a linear differential equation. This text then examines the character of the motion of the representative point along the hyperbola. Other chapters consider examples of two basic types of

Differential Dynamical Systems, Revised Edition

Differential Dynamical Systems, Revised Edition
  • Author : James D. Meiss
  • Publisher : SIAM
  • Release : 24 January 2017
GET THIS BOOKDifferential Dynamical Systems, Revised Edition

Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems. Applications of this theory to physics, biology, chemistry, and engineering are shown through examples in such areas as population modeling, fluid dynamics, electronics, and mechanics.? Differential Dynamical Systems begins with coverage of linear systems, including matrix algebra; the