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Titlebook: Geometric Configurations of Singularities of Planar Polynomial Differential Systems; A Global Classificat Joan C. Artés,Jaume Llibre,Nicola

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The OIMDA Model: Blindness Case StudyThe goals of this chapter are firstly to sum up and highlight the core contributions of this book and secondly to cast a view towards the future indicating ways opened up by these contributions.
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Survey of results on quadratic differential systemsQuadratic differential systems occur often in many areas of applied mathematics, in population dynamics [145], nonlinear mechanics [236, 237, 69], chemistry, electrical circuits, neural networks, laser physics, hydrodynamics [347, 328, 183, 191], astrophysics [80] and others [280, 154, 102].
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Singularities of polynomial differential systemsSince we are going to talk about finite and infinite singularities, we must first describe the compactified space in which we are going to work.
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Invariant theory of planar polynomial vector fieldsThe roots of the invariant theory of polynomial vector fields lie in the classical invariant theory. The idea to adapt to polynomial vector fields the concepts of classical invariant theory is due to C. S. Sibirschi, the founder of the Chişinău school of qualitative theory of differential equations.
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Classifications of quadratic systems with special singularitiesOne of the goals of this book is to enumerate all possible geometrical configurations of singularities, finite and infinite, of real quadratic differential systems. The foliations with singularities of the complexified systems can be compactified over the complex projective space.
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