In this paper we study some key effects of a discontinuous forcing term in fourth order wave equation on bounded domain, modeling the adhesion an elastic beam with substrate through elastic-breakable interaction. By using spectral decomposition method show that main induced by nonlinearity at transition from attached to detached states can be traced loss regularity solution and migration total ...

In this paper, we have obtained exact static spherical symmetric soliton-like solutions to the electromagnetic and scalar nonlinear induction field equations taking into account own gravitational of elementary. The results show that metric tensor functions are regular with localized energy density. Moreover, total fields is bounded charge elementary particles has a finite value. importance role...

This paper proposes an online data-driven Koopman-inspired identification and control method for microgrid secondary voltage frequency control. Unlike typical methods, the proposed requires no warm-up training yet with guaranteed bounded-input–bounded-output (BIBO) stability even asymptotic under some mild conditions. The estimates Koopman state space model adaptively so as to perform effective...

One-dimensional electronic fluids are peculiar conducting systems, where the fundamental role of interactions leads to exotic, emergent phenomena, such as spin-charge (spinon-holon) separation. The distinct low-energy properties of these 1D metals are successfully described within the theory of linear Luttinger liquids, but the challenging task of describing their high-energy nonlinear properti...

We consider a slightly subcritical Dirichlet problem with non-power nonlinearity in bounded smooth domain. For this problem, standard compact embeddings cannot be used to guarantee the existence of solutions as case power-type nonlinearities. Instead, we use Ljapunov-Schmidt reduction method show that there is positive solution which concentrates at non-degenerate critical point Robin function....

In this note, small amplitude free vibration of a double-beam system in presence of inner layer nonlinearity is investigated. The nonlinearity is due to inner layer material and is not related to large amplitude vibration. At first, frequencies of a double-beam system with linear inner layer are studied and categorized as synchronous and asynchronous frequencies. It is revealed that the inner l...

Integral nonlinearity (INL) should be main source of ADC's harmonic distortion. The basic question is importance of dynamic INL. There are still open questions how to describe dynamic INL and if the dynamic corrections of ADC have sense. Key-Words: ADC, testing, static, dynamic, INL, hysteresis

For a Hertz chain model, by using the methodology of dynamical systems and singular traveling wave theory developed Li Chen [9] to its system defined on two-dimensional foliations in three-dimensional space, under different parameter conditions, existence all possible bounded solutions (solitary solutions, periodic peakons, compactons) is proved. nonlinearity exponent $ k = \frac32, 2 3 as many...

In this paper, a fuzzy-neural adaptive iterative learning control (AILC) is proposed for traffic flow systems of a single lane freeway with random bounded off-ramp traffic volumes. It is assumed that the system dynamic functions and input gains are unknown for controller design. An adaptive fuzzy neural network (FNN) controller and an adaptive robust controller are applied to compensate for the...