Complete integrability and time-reversibility of some 3-dim systems

DOI10.1016/j.aml.2015.07.006zbMath1334.34007OpenAlexW1216822358MaRDI QIDQ896445

Douglas S. Shafer, Valery G. Romanovski

Publication date: 9 December 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2015.07.006

zbMATH Keywords

complete integrabilityreversibilitypolynomial systems of ODEs

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) Symmetries, invariants of ordinary differential equations (34C14) Explicit solutions, first integrals of ordinary differential equations (34A05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Related Items (1)

Time-Reversibility and Ivariants of Some 3-dim Systems

Uses Software

• SINGULAR
• primdec

Cites Work

• First integrals of local analytic differential systems
• Varieties of local integrability of analytic differential systems and their applications
• Time-reversal symmetry in dynamical systems: a survey
• Local integrability of a family of three-dimensional quadratic systems
• Analytic normalization of analytic integrable systems and the embedding flows

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