Quadratic dynamical systems and algebras

DOI10.1006/jdeq.1995.1049zbMath0830.17001OpenAlexW2078808548MaRDI QIDQ1347246

Arthur A. Sagle, Michael K. Kinyon

Publication date: 4 April 1995

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1995.1049

zbMATH Keywords

idempotentsderivationsautomorphismsdiscrete dynamical systemsnonassociative algebrasstability of equilibriaiteratesquadratic differential equationsextensive surveyindex 2 nilpotents

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Additive difference equations (39A10) Research exposition (monographs, survey articles) pertaining to nonassociative rings and algebras (17-02) Dynamical systems and ergodic theory (37-XX) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02) General theory of nonassociative rings and algebras (17A01)

Related Items (20)

Quadratic differential equations in $\mathbb {Z}_2$-graded algebras ⋮ Automorphisms and derivations of differential equations and algebras ⋮ Nahm algebras ⋮ Note on the Jacobi elliptic functions ⋮ Quadratic differential equations in the complex domain I ⋮ A FAMILY OF COMPLETELY PERIODIC QUADRATIC DISCRETE DYNAMICAL SYSTEM ⋮ EQ-algebras based on hyper EQ-algebras ⋮ On the solution calculation of nonlinear ordinary differential equations via exact quadratization ⋮ On algebraic approach in quadratic systems ⋮ Algebraic properties of some quadratic dynamical systems ⋮ A CLASS OF NONASSOCIATIVE ALGEBRAS ARISING FROM QUADRATIC ODEs ⋮ Differential Equations in Algebras ⋮ Complex Structures in Real Algebras. I. Two-Dimensional Commutative Case ⋮ On algebraic problems behind the Brouwer degree of equivariant maps ⋮ Reduction Methods and Chaos for Quadratic Systems of Differential Equations ⋮ On unbounded polynomial dynamical systems ⋮ THE DYNAMICS OF NQ-SYSTEMS IN THE PLANE ⋮ EQ-algebras based on fuzzy hyper EQ-filters ⋮ Jacobi elliptic algebras of SO(3) ⋮ On a generalization of some instability results for Riccati equations via nonassociative algebras

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