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    Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I: A Self-univariate Cubic Vector Field

    Two-dimensional Single-Variable Cubic Nonlinear Systems, Vol. I by Luo, Albert C. J.;

    A Self-univariate Cubic Vector Field

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      • Publisher's listprice EUR 192.59
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        81 696 Ft (77 806 Ft + 5% VAT)
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    81 696 Ft

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    Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
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    Product details:

    • Edition number 2024
    • Publisher Springer
    • Date of Publication 31 October 2024
    • Number of Volumes 1 pieces, Book

    • ISBN 9783031484711
    • Binding Hardback
    • No. of pages437 pages
    • Size 235x155 mm
    • Language English
    • Illustrations 1 Illustrations, black & white; 31 Illustrations, color
    • 658

    Categories

    Short description:

    This book, the first of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of self-variables and are discussed as the first part of the book. The 1-dimensional flow singularity and bifurcations are discussed in such cubic systems. The appearing and switching bifurcations of the 1-dimensional flows in such 2-dimensional cubic systems are for the first time to be presented. Third-order source and sink flows are presented, and the third-order parabola flows are also presented. The infinite-equilibriums are the switching bifurcations for the first and third-order source and sink flows, and the second-order saddle flows with the first and third-order parabola flows, and the inflection flows. The appearing bifurcations in such cubic systems includes saddle flows and third-order source (sink) flows, inflection flows and third-order up (down)-parabola flows.

    • Develops the theory for 1-dimensonal flow singularity and bifurcations to elucidate dynamics of nonlinear systems;
    • Provides a new research direction in nonlinear dynamics community;
    • Shows how singularity and bifurcations occur not only for equilibriums and attractors but also for 1-dimensional flows.

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    Long description:

    This book is the first of 15 related monographs, presents systematically a theory of cubic nonlinear systems with single-variable vector fields. The cubic vector fields are of self-variables and are discussed as the first part of the book. The 1-dimensional flow singularity and bifurcations are discussed in such cubic systems. The appearing and switching bifurcations of the 1-dimensional flows in such 2-dimensional cubic systems are for the first time to be presented. Third-order source and sink flows are presented, and the third-order parabola flows are also presented. The infinite-equilibriums are the switching bifurcations for the first and third-order source and sink flows, and the second-order saddle flows with the first and third-order parabola flows, and the inflection flows. The appearing bifurcations in such cubic systems includes saddle flows and third-order source (sink) flows, inflection flows and third-order up (down)-parabola flows.

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    Table of Contents:

    Chapter 1 Constant and Self-cubic Vector fields.- Chapter 2 Crossing-linear and Self-cubic Vector Fields.- Chapter 3 Crossing-quadratic and Self-Cubic Vector Fields.- Chapter 4 Two Single-variable Cubic Vector Fields.

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