| Title |
Applications of H-ranks in nonlinear systems and chaos analysis / |
| Translation of Title |
H-rangų taikymai netiesinių sistemų ir chaoso tyrimuose. |
| Authors |
Landauskas, Mantas |
| ISBN |
9786090211878 |
| Full Text |
|
| Pages |
126 |
| Keywords [eng] |
Hankel matrix ; rank of a sequence ; manifolds of convergence ; bouncing ball model ; time series prediction |
| Abstract [eng] |
Hankel matrices are broadly applied to problems such as system identification, the exploration of the onset of chaos in discrete nonlinear dynamical systems, sensitivity to initial conditions in nonlinear systems. The concept of the H-rank was developed in the thesis by analyzing nonlinear dynamical systems, forecasting short time series. The development of the theory of H-ranks is the main value of this work as H-rank based algorithms enable to reveal and/or solve a set of new system identification, forecasting and control problems. |
| Dissertation Institution |
Kauno technologijos universitetas. |
| Type |
Doctoral thesis |
| Language |
English |
| Publication date |
2016 |
