Algorithms and interface for detection of periodic orbits
- Mentors
- Datseris
- Organization
- The Julia Language
- Technologies
- julia
- Topics
- dynamical systems, unstable periodic orbits, chaos, numerical mathematics
The main objective of my proposal is to implement better tools for detection of periodic orbits of dynamical systems. My task will be to implement unified interface for detection algorithms capable of finding orbits of both discrete-time and continuous-time systems. This will be a great addition to DynamicalSystems.jl and will allow scientists to uncover the underlying structures of complex systems. Moreover, these algorithms will provide an improved way of selecting the first seed of numerical continuation in BifurcationKit.jl.