Normal forms near critical points for differential equations and maps
From MaRDI portal
Publication:3480405
DOI10.1109/31.1832zbMath0702.34033OpenAlexW2146334184MaRDI QIDQ3480405
Publication date: 1988
Published in: IEEE Transactions on Circuits and Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1109/31.1832
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)
Related Items (15)
INFINITE ORDER PARAMETRIC NORMAL FORM OF HOPF SINGULARITY ⋮ Construction of Lyapunov functions for nonlinear systems using normal forms ⋮ Bogdanov-Takens singularity in Van der Pol's oscillator with delayed feedback ⋮ Reduced normal forms for nonlinear control of underactuated hoisting systems ⋮ Non-hyperbolic equilibria in the charged collinear three-body problem ⋮ On the start-up behavior and steady-state oscillation of singularly perturbed harmonic oscillators ⋮ BIFURCATION THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS: A SURVEY ⋮ Preservation of Takens-Bogdanov bifurcations for delay differential equations by Euler discretization ⋮ An algorithm for computing a new normal form for dynamical systems ⋮ Hopf-pitchfork bifurcation in van der Pol's oscillator with nonlinear delayed feedback ⋮ FORMAL DECOMPOSITION METHOD AND PARAMETRIC NORMAL FORMS ⋮ Hypernormal forms for equilibria of vector fields. Codimension one linear degeneracies ⋮ Further reductions of normal forms for dynamical systems ⋮ Computational matrix representation modules for linear operators with explicit constructions for a class of Lie operators ⋮ Normal forms for nonautonomous differential equations
This page was built for publication: Normal forms near critical points for differential equations and maps