Poincar Andronov Melnikov Analysis for Non Smooth Systems

Produk Detail:
  • Author : Michal Fečkan
  • Publisher : Academic Press
  • Pages : 260 pages
  • ISBN : 0128043644
  • Rating : /5 from reviews
CLICK HERE TO GET THIS BOOK >>>Poincar Andronov Melnikov Analysis for Non Smooth Systems

Download or Read online Poincar Andronov Melnikov Analysis for Non Smooth Systems full in PDF, ePub and kindle. this book written by Michal Fečkan and published by Academic Press which was released on 07 June 2016 with total page 260 pages. We cannot guarantee that Poincar Andronov Melnikov Analysis for Non Smooth Systems book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. 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 systems, and also the local asymptotic properties of derived perturbed periodic solutions. The relationship between non-smooth systems and their continuous approximations is investigated as well. Examples of 2-, 3- and 4-dimensional discontinuous ordinary differential equations and impact systems are given to illustrate the theoretical results. The authors use so-called discontinuous Poincaré mapping which maps a point to its position after one period of the periodic solution. This approach is rather technical, but it does produce results for general dimensions of spatial variables and parameters as well as the asymptotical results such as stability, instability, and hyperbolicity. Extends Melnikov analysis of the classic Poincaré and Andronov staples, pointing to a general theory for freedom in dimensions of spatial variables and parameters as well as asymptotical results such as stability, instability, and hyperbolicity Presents a toolbox of critical theoretical techniques for many practical examples and models, including non-smooth dynamical systems Provides realistic models based on unsolved discontinuous problems from the literature and describes how Poincaré-Andronov-Melnikov analysis can be used to solve them Investigates the relationship between non-smooth systems and their continuous approximations

Poincar Andronov Melnikov Analysis for Non Smooth Systems

Poincar   Andronov Melnikov Analysis for Non Smooth Systems
  • Author : Michal Fečkan,Michal Pospíšil
  • Publisher : Academic Press
  • Release : 07 June 2016
GET THIS BOOK Poincar 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 BOOK Modeling 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 BOOK Mathematical 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