An algorithm for computing a new normal form for dynamical systems

DOI10.1006/jsco.1999.0305zbMath0973.34029OpenAlexW2063943049MaRDI QIDQ1976669

Guoting Chen, Jean Della Dora

Publication date: 27 November 2001

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/305355b8dddfe51259ba500015ab6b47038fd99c

zbMATH Keywords

perturbationvector fielddynamical systemformal normal form

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Normal forms for dynamical systems (37G05) Normal forms on manifolds (58K50)

Related Items (11)

Reduced normal forms for nonlinear control of underactuated hoisting systems ⋮ Multi-pulse orbits dynamics of composite laminated piezoelectric rectangular plate ⋮ A matching pursuit technique for computing the simplest normal forms of vector fields ⋮ Normal form theory and spectral sequences. ⋮ Unique Normal Form and the Associated Coefficients for a Class of Three-Dimensional Nilpotent Vector Fields ⋮ Computing simplest normal forms for the Takens-Bogdanov singularity ⋮ The simplest normal form and its application to bifurcation control ⋮ Global bifurcations and chaos for a rotor-active magnetic bearing system with time-varying stiffness ⋮ Global dynamics of two coupled parametrically excited van der Pol oscillators ⋮ UNIQUE NORMAL FORMS FOR NILPOTENT PLANAR VECTOR FIELDS ⋮ Multi-pulse orbits and chaotic dynamics in motion of parametrically excited viscoelastic moving belt

Uses Software

• Maple

Cites Work

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• Singularities of vector fields
• Normal forms for certain singularities of vectorfields
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• Normal forms for nonlinear vector fields. II. Applications
• Normal forms for singularities of vector fields

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