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A Visual Introduction to Differential Forms and Calculus on Manifolds

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A Visual Introduction to Differential Forms and Calculus on Manifolds
English | ISBN: 3319921169 | 2019 | 276 pages | PDF, EPUB | 56 MB
Joan C. Artés, "Structurally Unstable Quadratic Vector Fields of Codimension One"

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.

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Tags: Visual, Introduction, Differential, Calculus, Manifolds


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