PyDSTool
PyDSTool is an open-source Python package for simulation and analysis of dynamical systems models. It allows users to rapidly create simulations of ODEs/DAEs, bifurcation diagrams, phase planes, etc.
simulation
modeling
analysis
dynamical-systems
odes
daes
PyDSTool: Open-Source Python Package for Dynamical Systems Simulation
PyDSTool is an open-source Python package for simulation and analysis of dynamical systems models. It allows users to rapidly create simulations of ODEs/DAEs, bifurcation diagrams, phase planes, etc.
What is PyDSTool?
PyDSTool is an open-source Python software package designed for numerical simulation and analysis of ordinary differential equation (ODE) and differential-algebraic equation (DAE) dynamical systems models. Some of the key features of PyDSTool include:
- Provides a high-level interface to specify and run simulations of vector fields, discrete maps, hybrid models, and event-driven systems.
- Generates C code for numerical integration that can be efficiently compiled and run for faster execution compared to pure Python.
- Implements many common numerical algorithms such as fixed-step and variable-step solvers for ODEs/DAEs.
- Includes tools for numerical bifurcation analysis, phase planes, and automated exploration of dynamics.
- Interoperable with SciPy and other scientific Python packages.
- Extensive documentation and tutorials available.
- Free and open source software under the BSD License.
Overall, PyDSTool is designed to make dynamical systems modeling and simulation simple and accessible to both beginner and advanced Python users across science and engineering disciplines.
PyDSTool Features
Features
- Simulation of ordinary differential equations (ODEs) and differential-algebraic equations (DAEs)
- Numerical integration using SciPy and Sundials solvers
- Generation of vector fields, phase portraits and nullclines
- Computation of fixed points, limit cycles and bifurcation diagrams
- Parameter continuation and sensitivity analysis
- Event detection and location
- Model exporting to formats including MATLAB, XPP and SBML
Pricing
- Open Source
Pros
Free and open source
User-friendly Python interface
Powerful ODE/DAE integration and analysis capabilities
Interoperability with other Python scientific packages
Can handle stiff and non-stiff systems
Good documentation and examples
Cons
Less commonly used than MATLAB or Mathematica for dynamical systems
Steeper learning curve than domain-specific tools like XPP
Limited symbolic mathematics capabilities compared to SymPy or Maple
Not as performant as compiled languages like C/C++
Sparse examples for more advanced features like DAEs
Official Links
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