Abstract The current study investigates the stability structure of base periodic motion an inverted pendulum (IP). A uniform magnetic field affects in direction plane configuration. Furthermore, a non-conservative force as one that dampens air is considered. Its underlying equation derived from traditional analytical mechanics. mathematical analysis made simpler by substituting Taylor theory or...

Chaotic systems are nonlinear that show sensitive dependence on initial conditions, and an immeasurably small change in value causes large the future state of system. Besides, there is no randomness chaotic they have order within themselves. Researchers use many areas such as mixer can make more homogeneous mixtures, encryption be used with high security, artificial neural networks by taking ad...

• The numerical performances of high-order GKS and HLLC methods are compared. comparison is based on both inviscid viscous solutions. robustness, efficiency, accuracy schemes analyzed. In this paper, a the performance two finite volume gas-kinetic scheme (GKS) fluxes carried out structured rectangular mesh. For schemes, fifth-order WENO-AO reconstruction adopted to achieve spatial accuracy. ter...

This paper presents the first scientific application of local time-stepping (LTS) schemes in Model for Prediction Across Scales-Ocean (MPAS-O). We use LTS a single-layer, global ocean model that predicts storm surge around eastern coast United States during Hurricane Sandy. The variable-resolution meshes used are unprecedentedly high resolution MPAS-O, containing cells as small 125 meters wide ...

In this study, a novel analytical solution to the integrable undamping Duffing equation with constant forced term is obtained. Also, new approximate (semianalytical) for nonintegrable linear damping oscillator reported. The given in terms of Weierstrass elliptic function arbitrary initial conditions. With respect it, semianalytical constructed depending on ansatz and exact standard (in absence ...

When implementing a pseudo-random number generator (PRNG) for neural network chaos-based systems on FPGAs, chaotic degradation caused by numerical accuracy constraints can have dramatic impact the performance of PRNG. To suppress this degradation, PRNG with feedback controller based Hopfield oscillator is proposed, in which neuron exposed to electromagnetic radiation. We choose magnetic flux ac...

Electromagnetic interference (EMI) modeling and prediction are essential for the design of most power electronics apparatuses. This article aims at finding a fast method to select time step explicit solver-based simulation high frequency low loss (HFLL) circuits like EMI filter. The state-space model HFLL circuit is constructed its eigenvalues proved be very close imaginary axis. Both nondegene...