Approximate formulas and algorithms for constructing central manifolds of dynamic systems

DOI10.1134/S0005117920010038zbMath1455.93115OpenAlexW3006918733MaRDI QIDQ827885

M. G. Yumagulov, M. F. Fazlytdinov

Publication date: 14 January 2021

Published in: Automation and Remote Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0005117920010038

zbMATH Keywords

algorithmsbifurcationapproximationequilibriumdynamic systemsapproximate formulascentral manifold

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Relations of manifolds and cell complexes with engineering (57Z20)

Related Items (1)

On solvability of homological equations in the problem of center manifold approximation

Cites Work

• Symbolic computation for center manifolds and normal forms of Bogdanov bifurcation in retarded functional differential equations
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Elements of applied bifurcation theory.
• Bifurcation formulas and algorithms of constructing central manifolds of discrete dynamical systems
• The stable, center-stable, center, center-unstable, unstable manifolds
• Operator methods for calculating Lyapunov values in problems on local bifurcations of dynamical systems
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