Poincar Andronov Melnikov Analysis for Non Smooth Systems

Written By Michal Fečkan
Poincar   Andronov Melnikov Analysis for Non Smooth Systems
  • Publsiher : Academic Press
  • Release : 07 June 2016
  • ISBN : 0128043644
  • Pages : 260 pages
  • Rating : /5 from reviews
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Download or read book entitled Poincar Andronov Melnikov Analysis for Non Smooth Systems by author: Michal Fečkan which was release on 07 June 2016 and published by Academic Press with total page 260 pages . This book available in PDF, EPUB and Kindle Format. 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 Date : 2016-06-07
  • Total pages : 260
  • ISBN : 0128043644
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Summary : 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, ...

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  • Publisher : #N/A
  • Release Date : 2017-07-07
  • Total pages : 276
  • ISBN : 0128043644
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Summary : 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 ...

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  • ISBN : 0128043644
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Summary : 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, ...

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  • Publisher : Springer Science & Business Media
  • Release Date : 1998-09-18
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  • ISBN : 0128043644
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Summary : Read online Mechanics USA 1990 written by C. F. Chen,Chuan Fang Chen, published by Amer Society of Mechanical which was released on 1990. Download full Mechanics USA 1990 Books now! Available in PDF, ePub and Kindle....

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Summary : Read online Progress in Nonlinear Science written by Lev M. Lerman, published by which was released on 2002. Download full Progress in Nonlinear Science Books now! Available in PDF, ePub and Kindle....