Structurally Unstable Quadratic Vector Fields of Codimension One by Joan C. Artés (PDF)

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    Ebook Info

    • Published: 2018
    • Number of pages: 273 pages
    • Format: PDF
    • File Size: 12.87 MB
    • Authors: Joan C. Artés

    Description

    Originating from research in the qualitative theory of ordinary differential equations, this book follows the authors’ work on structurally stable planar quadratic polynomial differential systems. In the present work the authors aim at finding all possible phase portraits in the Poincaré disc, modulo limit cycles, of planar quadratic polynomial differential systems manifesting the simplest level of structural instability. They prove that there are at most 211 and at least 204 of them.

    User’s Reviews

    Editorial Reviews: From the Back Cover Originating from research in the qualitative theory of ordinary differential equations, this book follows the authors’ work on structurally stable planar quadratic polynomial differential systems. In the present work the authors aim at finding all possible phase portraits in the Poincaré disc, modulo limit cycles, of planar quadratic polynomial differential systems manifesting the simplest level of structural instability. They prove that there are at most 211 and at least 204 of them.

    Reviews from Amazon users which were colected at the time this book was published on the website:

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