Twisting generators for pseudorandom numbers may use a congruential array to simulate stochastic sequences. Typically, the computer program controls the quantity of elements in array to limit the random access memory. This technique may have limitations in situations where the stochastic sequences have an insufficient size for some application tasks, ranging from theoretical mathematics and tec...

Problems for various random number generators accompanying the Wolff algorithm [U. Wolff, Phys. Rev. Lett. 62 (1989) 361; U. Wolff, Phys. Lett. B 228 (1989) 379] are discussed, including the hidden errors first reported in [A.M. Ferrenberg, D.P. Landau, Y.J. Wong, Phys. Rev. Lett. 69 (1992) 3382]. A general (though simple) method of twisting and combining for improving the performance of these ...

In this paper, a super twisting controller (STC) is designed to control the chaotic behavior of the Duffing-Holmes system in stabilization and tracking cases. Due to lack of availability of the performance evaluation of STC in controlling Duffing-Holmes system, this paper aims to test the performance of STC in controlling DuffingHolmes system. In order to achieve this control design, a modifica...

In this paper, a robust adaptive type-2 fuzzy higher order sliding mode controller is designed to stabilize the unstable periodic orbits of uncertain perturbed chaotic system with internal parameter uncertainties and external disturbances. In Higher Order Sliding Mode Control (HOSMC),the chattering phenomena of the control effort is reduced, by using Super Twisting algorithm. Adaptive interval ...

We show that certain twisting deformations of a family of supersolvable groups are simple as Hopf algebras. These groups are direct products of two generalized dihedral groups. Examples of this construction arise in dimensions 60 and pq, for prime numbers p, q with q|p − 1. We also show that certain twisting deformation of the symmetric group is simple as a Hopf algebra. On the other hand, we p...

To achieve the high-performance control of surface-mounted permanent magnet synchronous motor (SPMSM) speed system, this paper proposes a high-order sliding mode strategy based on new super twisting algorithm (NSTA). This introduces an adaptive term in its proportional original algorithm, which solves low reaching and poor antidisturbance ability due to square root calculation algorithm. The si...