Continuous Media: Interpretation in Terms of Phase-Portrait Method for Dynamic Systems with Control
Anatoliy G. Butkovskiy, N.L. Lepe, A. V. Babichev · Birkhäuser Basel eBooks · 1987
The paper concerns an investigation of a substance propagation process in a continuous medium by representing it as a finite-dimensional dynamic system with control (DSC). A correspondence is established between the Laplacian of this process and the Hamiltonian of the DSC. To analyse DSC in a differential inclusion form an original phase-portrait method is proposed. Some general results on DSC qualitative behavior obtained with the phase-portrait method are also presented in the paper. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.