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Tuesday, April 28, 2020 | History

7 edition of Smooth and nonsmooth high dimensional chaos and the Melnikov-type methods found in the catalog.

Smooth and nonsmooth high dimensional chaos and the Melnikov-type methods

J. Awrejcewicz

Smooth and nonsmooth high dimensional chaos and the Melnikov-type methods

  • 27 Want to read
  • 35 Currently reading

Published by World Scientific in Singapore, Hackensack, NJ .
Written in English

    Subjects:
  • Chaotic behavior in systems,
  • Differentiable dynamical systems,
  • Nonlinear oscillators

  • Edition Notes

    Includes bibliographical references (p. 285-289) and index

    StatementJan Awrejcewicz, Mariusz M. Holicke
    SeriesWorld Scientific series on nonlinear science. Series A -- v. 60, World Scientific series on nonlinear science -- v. 60
    ContributionsHolicke, Mariusz M
    The Physical Object
    Paginationx, 307 p. :
    Number of Pages307
    ID Numbers
    Open LibraryOL17251394M
    ISBN 109812709096
    ISBN 109789812709097

    This book consists of three parts. The first part of the book consists of reviews on general chaos control methods. In particular, a time-delayed approach written by H. Huang and G. Feng is reviewed in Chapter 1. A master slave synchronization problem for chaotic Lur’e systems is considered. Awrejcewicz Holicke Smooth and Nonsmooth High Dimensional Chaos and the Melnikov Type Methods (World Scientific Series on Nonlinear Science):(英文).pdf; BATSFORD Logical Chess Move by Move, Every Move Explained Irving Chernev:(BATSFORD逻辑象棋的举动,一举一动欧文﹒车尼佛进行 . BIFURCATIONSINPIECEWISE-SMOOTHCONTINUOUSSYSTEMSWORLDSCIENTIFICSERIESONNONLINEARSCIENCEEditor:APHSANDTREATISES.


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Smooth and nonsmooth high dimensional chaos and the Melnikov-type methods by J. Awrejcewicz Download PDF EPUB FB2

This book focuses on the development of Melnikov-type methods applied to high dimensional dynamical systems governed by ordinary differential equations. Although the classical Melnikov's technique has found various applications in predicting homoclinic intersections, it is devoted only to the analysis of three-dimensional systems (in the case.

Smooth and Nonsmooth High Dimensional Chaos and the Melnikov-Qpe Methods The critical Smooth and nonsmooth high dimensional chaos and the Melnikov-type methods book of the existing results in the field of classical Melnikov method application and beyond allows to.

Smooth and Nonsmooth High Dimensional Chaos and the Melnikov-type Methods This book focuses on the development of Melnikov-type methods applied to high dimensional dynamical systems governed by ordinary differential equations.

Although the classical Melnikov's technique has found various applications in predicting homoclinic intersections. : Smooth and Nonsmooth High Dimensional Chaos and the Melnidov-Type Methods (World Scientific Series on Nonlinear Science Series a) (): Cited by: ISBN: OCLC Number: Description: x, pages: illustrations (some color) Smooth and nonsmooth high dimensional chaos and the Melnikov-type methods book 24 cm.

Contents: A Role of the Melnikov-Type Methods in Applied Sciences; Classical Melnikov Approach; Homoclinic Chaos Criterion in a Rotated Froude Pendulum with Dry Friction; Smooth and Non-Smooth Dynamics of a Quasi-Autonomous Oscillator with Coulomb and Viscous Frictions.

Get this from a library. Smooth and nonsmooth high dimensional chaos and the melnikov-type methods. [J Awrejcewicz; Mariusz M Holicke] -- This book focuses on the development of Melnikov-type methods applied to high dimensional dynamical systems governed by ordinary differential equations.

Although the classical Melnikov's technique. Smooth and Nonsmooth High Dimensional Chaos and the Melnikov-Type Methods 作者: Holicke, Mariusz M. 页数: 定价: $ ISBN: 豆瓣评分. The Melnikov method is used in many cases to predict the occurrence of chaotic orbits in Smooth and nonsmooth high dimensional chaos and the Melnikov-type methods book smooth nonlinear systems under periodic perturbation.

According to the method is possible to construct a function called "Melnikov function", and hence to predict either regular or chaotic behavior of a studied dynamical system.

This book focuses on the development of Melnikov-type methods applied to high dimensional dynamical systems governed by ordinary differential equations. Although the classical Melnikov's technique has found various applications in predicting homoclinic intersections, it is devoted only to the analysis of three-dimensional systems (in the case.

Melnikov-Type Method for a Class of Discontinuous Planar Systems and Applications. Smooth and nonsmooth high dimensional chaos and the Melnikov-type methods.

Author of Nonclassical thermoelastic problems in nonlinear dynamics of shells, Bifurcation and chaos in nonsmooth mechanical systems, Nonsmooth dynamics of contacting thermoelastic bodies, Asymptotical mechanics of thin-walled structures, Smooth and nonsmooth high dimensional chaos and the Melnikov-type methods, Nonlinear Dynamics of Continuous Elastic Systems, Chaos in structural.

The Melnikov House, a building designed by the architect Konstantin Melnikov in Moscow for his family ( - ), is an icon of the architectural avant-garde. The house was originally built as an experimental cylindrical house to test out Konstantin Melnikov's very own concept Smooth and nonsmooth high dimensional chaos and the Melnikov-type methods book mass construction of residential estate.

The original layout, elegant spatial arrangement, and smart engineering. Smooth and Nonsmooth High Dimensional Chaos and the Melnikov-Type Methods A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science Applications of Lie Group Analysis in Geophysical Fluid Dynamics.

Methods Of Qualitative Theory In Nonlinear Dynamics (Part Ii) this book focuses on the qualitative study of high-dimensional nonlinear dynamical systems. Many of the qualitative methods and tools presented in the book have been developed only recently and have not yet appeared in textbook keeping with the self-contained nature of.

Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume Iv) by Leon O. Chua,available at Book Depository with free delivery worldwide/5(2). Abstract. Many problems in the natural and engineering sciences can be modeled as evolution processes. Mathematically this leads to either discrete or continuous dynamical systems, i.e.

to either difference or differential equations. Awrejcewicz and M. Holicke, Smooth and Nonsmooth High Dimensional Chaos and the Melnikov-type Methods, World Scientific, Singapore, doi: / Google ScholarCited by: 1. Our recent results are presented on the development of the Melnikov theory in investigation of implicit ordinary differential equations with small amplitude perturbations.

J., Holicke, M.M.: Smooth and Nonsmooth High Dimensional Chaos and the Melnikov-Type Methods. Fečkan M. () A Survey on the Melnikov Theory for Implicit Ordinary Author: Michal Fečkan.

Chaos and nonlinear dynamics: an introduction for scientists and engineers / by: Hilborn, Robert C. Published: () Laws of chaos: invariant measures and dynamical systems in one dimension / by: Boyarsky, Abraham.

Entdecken Sie "Bifurcation And Chaos In Simple Dynamical Systems" von Jan Awrejcewicz und finden Sie Ihren Buchhändler. This book presents a detailed analysis of bifurcation and chaos in simple non-linear systems, based on previous works of the author. Practical examples for mechanical and biomechanical systems are discussed.

The use of both numerical and analytical approaches allows Author: Jan Awrejcewicz. Forced Lorenz system, important in modeling of monsoonlike phenomena, is analyzed for the existence of heteroclinic orbit.

This is done in the light of the suggested new mechanism for the onset of chaos by Magnitskii and Sidorov (, “Finding Homoclinic and Heteroclinic Contours of Singular Points of Nonlinear Systems of Ordinary Differential Equations,” Diff.

Eq., 39, pp. – Cited by: 3. Advanced. Home; Journals. Books. Conferences; News; Order. General Information; Journal Prices; Book Prices/OrderCited by: 5. The complete equation for one-dimensional wind-induced sway is derived.

The harmonic balance method along with Melnikov theory are used to seek the effects of aerodynamic drag forces on the amplitude of vibration, on the structure failure, and on the appearance of horseshoes by: 3. This book aims to propose the implementation and application of Fractional Order Systems (FOS).

It is well known that FOS can be utilized in control applications and systems modeling, and their effectiveness has been proven in many theoretical works and simulation routines. You can write a book review and share your experiences.

Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them., Free ebooks since Entdecken Sie "Classical Mechanics" von Jan Awrejcewicz und finden Sie Ihren Buchhändler.

This is the last book of three devoted to Mechanics, and uses the theoretical background presented in Classical Mechanics: Kinematics and Statics and Classical Mechanics: Dynamics. It focuses on exhibiting a unique approach, rooted in the classical mechanics, to study mechanical and electromagnetic.

The results of an example consisting of a beam interacting with an arbitrary linear oscillator are considered. The parameters of Eq. and further data comprising f = 1, r = × 1 m, M 1 = kg, c = 70, are used within the calculations.

The results are presented in Fig. 5 as frequency response. The dependence of the vibrations amplitudes A 1, B 1 on Ω is by: Smooth And Nonsmooth High Dimensional Chaos And The Melnikov-type Methods Author: Jan Awrejcewicz, Mariusz M. Holicke Format: Hardback Release Date: 11/07/ This book focuses on the development of Melnikov-type methods applied to high dimensional dynamical systems governed by ordinary differential equations.

Numerical simulation of waves and fronts in inhomogeneous solids Arkadi Berezovski, Jüri Engelbrecht, Gérard A Maugin This book shows the advanced methods of numerical simulation of waves and fronts propagation in inhomogeneous solids and introduces related important ideas associated with the application of numerical methods for these.

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Jetzt eBook herunterladen & mit Ihrem Tablet oder eBook Reader lesen. Singapore: World Scientific, - p. This book focuses on the development of Melnikov-type methods applied to high dimensional dynamical systems governed by ordinary differential equations. Although the classical Melnikov s technique has found various applications in predicting homoclinic.

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Although the latter material is beyond the book contents, the reader may be acquainted with my authored co-authored books/monographs devoted to the mentioned subjects, i.e., Bifurcation and Chaos in Simple Dynamical Systems, J.

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