Bifurcation formulas and algorithms of constructing central manifolds of discrete dynamical systems

DOI10.3103/S1066369X1903006XzbMath1428.39021OpenAlexW2955767904MaRDI QIDQ2287065

M. G. Yumagulov, M. F. Fazlytdinov

Publication date: 23 January 2020

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x1903006x

zbMATH Keywords

stabilitynormal formdynamical systemequilibrium pointlocal bifurcationcentral manifoldLyapunov quantitybifurcation formula

Mathematics Subject Classification ID

Computational methods for bifurcation problems in dynamical systems (37M20) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)

Related Items

Approximate formulas and algorithms for constructing central manifolds of dynamic systems

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Elements of applied bifurcation theory.
• The parameter functionalization method in the eigenvalue problem
• The stable, center-stable, center, center-unstable, unstable manifolds
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