Continuation of Sets of Constrained Orbit Segments

Frank Schilder (Invited author), Morten Brøns (Invited author), George Chaouki Chamoun (Invited author), Harry Dankowicz (Invited author)

    Research output: Non-textual formSound/Visual production (digital)Research

    Abstract

    Sets of constrained orbit segments of time continuous flows are collections of trajectories that represent a whole or parts of an invariant set. A non-trivial but simple example is a homoclinic orbit. A typical representation of this set consists of an equilibrium point of the flow and a trajectory that starts close and returns close to this fixed point within finite time. More complicated examples are hybrid periodic orbits of piecewise smooth systems or quasi-periodic invariant tori. Even though it is possible to define generalised two-point boundary value problems for computing sets of constrained orbit segments, this is very disadvantageous in practice. In this talk we will present an algorithm that allows the efficient continuation of sets of constrained orbit segments together with the solution of the full variational problem.
    Original languageEnglish
    Publication date2010
    Publication statusPublished - 2010
    EventAIMS International Conference on Dynamical Systems, Differential Equations and Applications - TU Dresden, Germany
    Duration: 1 Jan 2010 → …
    Conference number: 8

    Conference

    ConferenceAIMS International Conference on Dynamical Systems, Differential Equations and Applications
    Number8
    CityTU Dresden, Germany
    Period01/01/2010 → …

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