Belitskii's canonical forms of linear dynamical systems

2017/03/04 by Yu-An Chen, Chen, Yuan, Liujie Nie +3
Mathematics · #15A21 #93B10 #93C05 #Advanced Algebra and Geometry #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1703.01417

openalex publication_date 2017/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the note, all indecomposable canonical forms of linear systems with dimension less than or equal to 4 are determined based on Belitskii's algorithm. As an application, an effective way to calculate dimensions of equivalence classes of linear systems is given by using Belitskii's canonical forms.

Related

• Characterization of the class of canonical forms for systems of linear equations
• Topological equivalence canonical forms for linear multivariable systems without control
• Dimension of linear systems: a combinatorial and differential approach
• Linearizability of Systems of Ordinary Differential Equations Obtained by Complex Symmetry Analysis
• Canonical forms for polynomial systems with balanced super-linearizations