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Title: Continuation of Sets of Constrained Orbit Segments
Type: Sound/Visual production (digital)Sound/Visual production (digital)
Participant(s):
Invited author:  Schilder, Frank (Cwisno: 58602)
Technical University of Denmark
Email:

Invited author:  Brøns, Morten (Cwisno: 290)
Technical University of Denmark
Email:

Invited author:  Chamoun, George Chaouki (Cwisno: 58600)
Technical University of Denmark

Inviteret forfatter:  Dankowicz, Harry
University of Illinois at Urbana-Champaign, Department of Mechanical Science and Engineering
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.
Published:
Presented at: AIMS International Conference on Dynamical Systems, Differential Equations and Applications, TU Dresden, Germany
See the publication in DTU Orbit See the publication in DTU Orbit

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