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Topological and Algebraic Methods in Nonlinear Differential Equations
MATH 7329
School of Natural Sciences and Mathematics
This course covers Polynomial homogeneous systems of ODEs, Poincare index, elliptic, hyperbolic and parabolic sectors, Bendixson formula, classification of plane quadratic systems, Riccati equation in non-associative commutative algebras, nilpotents and equilibria, idempotents and ray solutions, complex structures in algebras and bounded/periodic regimes, applications to Kasner equation, Euler equation and second order chemical reactions. 3 credit hours.
Prerequisite: MATH 6315.
Offering Frequency: Every two years
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Topological and Algebraic Methods in Nonlinear Differential Equations
MATH 7329
School of Natural Sciences and Mathematics
This course covers Polynomial homogeneous systems of ODEs, Poincare index, elliptic, hyperbolic and parabolic sectors, Bendixson formula, classification of plane quadratic systems, Riccati equation in non-associative commutative algebras, nilpotents and equilibria, idempotents and ray solutions, complex structures in algebras and bounded/periodic regimes, applications to Kasner equation, Euler equation and second order chemical reactions. 3 credit hours.
Prerequisite: MATH 6315.
Offering Frequency: Every two years
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