Carleman Linearization in Sage

This is a package for symbolic computations on polynomial differential equations.

This work is licensed under a Creative Commons Attribution-Share Alike 3.0 License.

Installation

• How to install through Sage’s pip
• How to build the project locally
• Unit testing

Tutorial

• Context
• Polynomial ODE’s
• Carleman embedding

Examples

• Examples folder
• Van der Pol oscillator

Methods

• Available Transformations
  • Reduction methods
  • Linearization
  • Kronecker power and linear algebra
  • Error computation
• Handling Input/Output
  • Load and export polynomial ODEs
  • Transformation functions
  • Solve polynomial ODEs
• Library of polynomial ODEs
• Polyhedron Tools

Indices and Tables

• Index
• Module Index
• Search Page