Steady state bifurcations and exact multiplicity conditions via Carleman linearization

DOI10.1016/0022-247X(87)90082-5zbMath0627.34045MaRDI QIDQ1092304

Christos A. Tsiligiannis, Gerasimos Lyberatos

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

linear algebraic methodsteady-state bifurcations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) General theory of ordinary differential operators (47E05) Perturbations of ordinary differential equations (34D10)

Related Items (4)

Periodic impulse-forcing of non-linear systems: a new method ⋮ Normal forms, resonance and bifurcation analysis via the Carleman linearization ⋮ On Matching, and Even Rectifying, Dynamical Systems through Koopman Operator Eigenfunctions ⋮ Analysis of Carleman representation of analytical recursions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Non-linear autonomous systems of differential equations and Carleman linearization procedure
• Applications of centre manifold theory
• Geometric and analytic views in existence theorems for optimal control. III: Weak solutions
• The stable, center-stable, center, center-unstable, unstable manifolds
• On some questions arising in the approximate solution of nonlinear differential equations
• A theory for imperfect bifurcation via singularity theory

This page was built for publication: Steady state bifurcations and exact multiplicity conditions via Carleman linearization