Welcome to multiflap documentation!

Multiflap is a python toolbox optimised to assess the cycle stability of flapping fliers. The kernel of this framework relies on the multiple-shooting algorithm, which is a numerical method to detect iteratively limit cycles, and assess their stability via the Floquet multipliers.

The object-oriented structure of this code allows the user to couple the multiple-shooting scheme with any system of ordinary differential equations.

The documentation is organized as follows:

• User guide
  • Introduction
  • Installation and getting started
• Limit cycle stability
  • Stability of cycles
• Multiple-shooting algorithm
  • Numerical scheme
  • Numerical scheme (unknown period)
  • Jacobian computation
  • Multiple-shooting solver
  • Floquet multipliers
• Lyapunov exponent computation
  • Lyapunov exponent computation
• Plotting functions
  • Plotting functions
• Save data
  • Save results of a simulation
• Tutorial
  • Isothermal reaction
  • Redox oscillation
  • Rossler’s system
  • Bird model dynamics
• LICENSE