Nonlinear parametric effects and dynamic chaos in a nonautonomous oscillating system with a nonlinear capacitance |
| |
Authors: | S. N. Vladimirov V. I. Perfil’ev |
| |
Affiliation: | (1) Tomsk State University, Tomsk, 634050, Russia |
| |
Abstract: | A mathematical model is constructed of a nonautonomous dynamic system containing a nonlinear capacitance and possessing a four-dimensional phase space. A numerical investigation is performed of branching processes and phenomena accompanying variations in the frequency and amplitude of an external force. The existence of complex dynamic processes that are a combination of a nonlinear force resonance and a parametric resonance is demonstrated. It is found that both a strange chaotic and a strange nonchaotic attractor exist in the phase space. It is shown that, in the case of a single-frequency external force, the latter attractor exhibits the property of roughness. The results of numerical calculations are confirmed by the results of laboratory experiments. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |