Dresden 2017 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 12: Delay and Feedback Dynamics

DY 12.4: Vortrag

Montag, 20. März 2017, 16:15–16:30, ZEU 147

Solution of delay differential equations via path integrals — •Andreas Otto, Nico Gehre, and Günter Radons — Institute of Physics, Chemnitz University of Technology, 09107 Chemnitz, Germany

In many dynamical systems in engineering and nature the effects of time delays are important. Such systems are described by delay differential equations. They can be found, for example, in models for the description of metal cutting vibrations, population growth, El Nino phenomenon and interaction in networks.

In this talk a new approach for the solution of delay differential equations is presented, which is related to the known path integral formulation for the solution of partial differential equations. It is shown how path integrals can be used for the construction of analytical solutions of autonomous as well as non-autonomous delay differential equations. The path integral method is applied to concrete examples and the results are compared with the solution obtained from existing analytical and numerical techniques.