On one approach to the qualitative analysis of nonlinear dynamical systems

DOI10.15372/SJNM20220105MaRDI QIDQ5048436

No author found.

Publication date: 16 November 2022

Published in: Сибирский журнал вычислительной математики (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/sjvm797

zbMATH Keywords

stabilityinvariant setscomputer algebranonlinear dynamical systemsqualitative analysis

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Stability theory for smooth dynamical systems (37C75) Computational methods for invariant manifolds of dynamical systems (37M21)

Cites Work

• Topological analysis corresponding to the Borisov-Mamaev-Sokolov integrable system on the Lie algebra \(\mathrm{so}(4)\)
• The invariant manifolds of systems with first integrals
• A new integrable case for the Kirchhoff equation
• The topology of isoenergetic surfaces for the Borisov-Mamaev-Sokolov integrable case on the Lie algebra \(so(3, 1)\)
• Integrable quadratic classical Hamiltonians onso(4) andso(3, 1)
• Computer algebra methods in the study of nonlinear differential systems
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On one approach to the qualitative analysis of nonlinear dynamical systems