Experiments and theory characterize the novel chaotic neoclassical transport scaling as νcB in contrast to traditional collisional neoclassical transport scaling as ν 1/2 c B−1/2. This chaotic transport occurs when local trapping separatrices have θ-variations or temporal fluctuations. Experiments observe bulk particle transport, damping of Langmuir waves and diocotron waves, and nonlinear wave...

Although many mathematicians have searched on the fractional calculus since many years ago, but its application in engineering, especially in modeling and control, does not have many antecedents. Since there are much freedom in choosing the order of differentiator and integrator in fractional calculus, it is possible to model the physical systems accurately. This paper deals with time-domain id...

To further understand the dynamical characteristics of chaotic systems with a hidden attractor and coexisting attractors, we investigated fundamental dynamics novel three-dimensional (3D) system derived by adding simple constant term to Yang–Chen system, which includes bifurcation diagram, Lyapunov exponents spectrum, basin attraction, under different parameters. In addition, an offset boosting...