Unique Normal Form and the Associated Coefficients for a Class of Three-Dimensional Nilpotent Vector Fields
DOI10.1142/S0218127417502248zbMath1383.34060WikidataQ57961067 ScholiaQ57961067MaRDI QIDQ4602541
Duo Wang, Wei Zhang, Liying Kou, Jing Li
Publication date: 31 January 2018
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
unique normal formthree-dimensional nilpotent vector fieldmultiple Lie brackettransformation with parameters
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 (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Linear grading function and further reduction of normal forms
- A simple global characterization for normal forms of singular vector fields
- Hypernormal form calculation for triple-zero degeneracies
- Further reduction of the Takens-Bogdanov normal form
- Adjoint operator method and normal forms of higher order for nonlinear dynamical system
- An algorithm for computing a new normal form for dynamical systems
- Unique normal form of a class of 3 dimensional vector fields with symmetries
- An explicit recursive formula for computing the normal forms associated with semisimple cases
- AN EXPLICIT RECURSIVE FORMULA FOR COMPUTING THE NORMAL FORM AND CENTER MANIFOLD OF GENERAL n-DIMENSIONAL DIFFERENTIAL SYSTEMS ASSOCIATED WITH HOPF BIFURCATION
- Computation of normal forms for high dimensional non-linear systems and application to non-planar non-linear oscillations of a cantilever beam
- Normal forms for singularities of vector fields
- Unique Normal Form for a Class of Three-Dimensional Nilpotent Vector Fields
- A NOTE ON THE TRIPLE-ZERO LINEAR DEGENERACY: NORMAL FORMS, DYNAMICAL AND BIFURCATION BEHAVIORS OF AN UNFOLDING
This page was built for publication: Unique Normal Form and the Associated Coefficients for a Class of Three-Dimensional Nilpotent Vector Fields