An algebraic criterion for the onset of chaos in nonlinear dynamical systems

DOI10.1016/0362-546X(89)90070-9zbMath0697.58039MaRDI QIDQ3473858

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Publication date: 1989

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

trajectoriesnoncommutative algebranonlinear dynamical systemiterated integralsautocorrelationchaotic regimesgenerating power seriesLaplace-Borel transformationcomputer-algebraic criterion

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (1)

Algebraic approach for the exploration of the onset of chaos in discrete nonlinear dynamical systems

Cites Work

• Integration of paths, geometric invariants and a generalized Baker-Hausdorff formula
• Algebraic paths
• An algebraic approach to nonlinear functional expansions
• Fonctionnelles causales non linéaires et indéterminées non commutatives
• Iterated path integrals

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