Multiple spatial limit sets and chaos analysis in MIMO cascade nonlinear systems
| Autor: | Biljana Samardzic, Bojana M. Zlatkovic |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
Phase portrait General Mathematics Applied Mathematics MIMO General Physics and Astronomy Statistical and Nonlinear Physics 01 natural sciences 010305 fluids & plasmas Nonlinear Sciences::Chaotic Dynamics CHAOS (operating system) Nonlinear system Cascade 0103 physical sciences Chaos analysis Limit (mathematics) Statistical physics 010301 acoustics Bifurcation |
| Zdroj: | Chaos, Solitons & Fractals. 119:86-93 |
| ISSN: | 0960-0779 |
| DOI: | 10.1016/j.chaos.2018.12.014 |
| Popis: | The appearance of multiple spatial limit sets and chaos in MIMO cascade nonlinear systems is analyzed in this paper. The necessary and sufficient conditions for the existence of stable multiple spatial limit sets and the rules for the existence of chaos are given, too. The validity of these conditions is confirmed with bifurcation diagrams and spatial phase portraits of MIMO2 and MIMO4 cascade nonlinear systems. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect