Some Properties of Gyrostats Dynamical Regimes Close to New Strange Attractors of the Newton-Leipnik Type
New dynamical systems with strange attractors are numerically investigated in the article. These dynamical systems correspond to the main mathematical model describing the attitude dynamics of multi-spin spacecraft and gyrostat-satellites. The considering dynamical systems are structurally related to the well-known Newton-Leipnik system. Properties of the strange attractors arising inside the phase spaces of the dynamical systems are examined with the help of the numerical modelling.
This work is partially supported by the Russian Foundation for Basic Research (RFBR#15-08-05934-A), and by the Ministry of education and science of the Russian Federation in the framework of the State Assignments to higher education institutions and research organizations in the field of scientific activity (the project # 9.1616.2017/ПЧ).
- 1.Doroshin, A.V.: New strange chaotic attractors in dynamical systems of multi-spin spacecraft and gyrostats. In: SAI Intelligent Systems Conference (IntelliSys-2016) (2016)Google Scholar
- 3.Doroshin, A.V.: Initiations of chaotic regimes of attitude dynamics of multi-spin spacecraft and gyrostat-satellites basing on multiscroll strange chaotic attractors. In: SAI Intelligent Systems Conference (IntelliSys), London, U.K., pp. 698–704 (2015)Google Scholar
- 4.Doroshin, A.V.: Multi-spin spacecraft and gyrostats as dynamical systems with multiscroll chaotic attractors. In: Science and Information Conference (SAI), London, U.K., pp. 882–887 (2014)Google Scholar
- 5.Doroshin, A.V.: Initiations of chaotic motions as a method of spacecraft attitude control and reorientations. In: IAENG Transactions on Engineering Sciences, pp. 15–28 (2016)Google Scholar
- 8.Elhadj, Z., Sprott, J.C.: Simplest 3D continuous-time quadratic systems as candidates for generating multiscroll chaotic attractors. Int. J. Bifurcat. Chaos 23(7) (2013)Google Scholar
- 9.Sprott, J.C.: Some simple chaotic flows. Phys. Rev. E 50 (1994)Google Scholar