Strange Nonchaotic Attractor in a Nonautonomous Oscillatory System with Nonlinear Capacity

The mathematical model of a nonautonomous dynamic system with nonlinear capacity and four-dimensional phase space is numerically investigated. The behavior of the maximum characteristic Lyapunov parameter and attractor capacity, information, and correlation dimensions attendant to variations of the external force frequency is investigated. The existence of the strange nonchaotic attractor that retains the roughness property for a wide range of variations of the system parameters is established in the phase space. Results of field experiments that confirm the correctness of numerical calculations are presented.__________Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 89–93, March, 2005.