... numerically, typically by applying a matrix trace criterion. By integrating ordinary differential equations derived from the stability criterion, we present an alternative, more accurate, and computationally efficient numerical method for determining the stability boundaries of Hill's equation in parameter...

... stability of the scheme on uniform mesh. The convergence of the scheme, in particular for r = 1, is analyzed for nonsmooth solutions and concluded for smooth solutions. Finally, the accuracy of the scheme is verified by analyzing the error through a few numerical examples. In this paper, we derive...

... of modal coupling, the braking stability of the vehicle is also affected by other components. In this paper, different dynamic torsional models of braking system are established according to different braking conditions. Through numerical calculation, the influence of tire parameters, road conditions...

... Stabilization of the Burgers' Equation by Neumann Boundary Feedback Control Law ,” Adv. Comput. Math. , 44 ( 2 ), pp. 541 – 570 . 10.1007/s10444-017-9553-9 [16] Yaseen , M. , and Abbas , M. , 2020 , “ An Efficient Computational Technique Based on Cubic Trigonometric B-Splines for Time...

...Senol Kartal Two predator-prey model describing the guava borers and natural enemies are studied in this paper. Positivity, existence, and uniqueness of the solution, global and local stability analysis of the fixed points of the first model based on the Caputo fractional operator are studied...

... viral blips, with a saturating infection rate. We examine the interactions between the population densities of infected and uninfected CD4+ T cells by discussing the model's dynamics in the long run. The local asymptotic stability of fixed points of the model is investigated. The model undergoes both...

...Andras Bartfai; Asier Barrios; Zoltan Dombovari This study is interested in the stability of robots in machining. The goal is to improve the dynamic performance of robots using an additional acceleration signal fed back through the conventional built-in proportional-derivative controller provided...

... and is unconditionally stable. The unconditional stability of the new scheme is proved by employing von Neumann stability analysis. For spatial discretization, a compact fourth-order accurate scheme is adopted. Moreover, a mathematical model for heat transfer of Darcy–Forchheimer flow of micropolar fluid is modified...

... Caputo derivative. A stability analysis of the linearized time-fractional Burgers' difference equation was also presented. All linearization strategies used to solve the proposed nonlinear problem are unconditionally stable. To support the theory, two numerical examples are considered. Furthermore...

... on the nonlinear behavior of the brake system on the basis of the previous model of the brake pair. Through numerical simulation, it is concluded that the geometry size of the third body has great influence on the stability interval of the braking system. Finally, the influence of the third body particles...

...Zechang Zheng; Zhongrong Lu; Guang Liu; Yanmao Chen A twice harmonic balance (THB) method is proposed to compute and analyze quasi-periodic (QP) responses of nonlinear dynamical systems, with emphasis on the stability and bifurcation of QP responses. In the first harmonic balancing, the original...

... equations with the fractional Laplacian. 1 Corresponding author. e-mail:  yasir_maths@yahoo.com 13 11 2021 24 04 2022 24 05 2022 fractional scheme stability convergence mixed convection thermal radiations chemical reaction Engineering and mechanical sciences...

... optimal orbits are not practically realizable. To overcome these limitations, the proposed method tries to converge to a cluster in the r -dimensional parameter space in which the design specifications including the specified optimality, periodicity, stability and robustness are satisfied. Thus...

... impeller blades and linkages, and the measurement and processing time of the roll-sensing unit. The stability boundary of the system, in the parametric space of the control gain and the delay, is derived analytically from the characteristic equation of the linearized system. We show that the area...

... cables with some differences between their parameters can exhibit either softening or hardening characteristics. 17 11 2020 02 06 2021 11 08 2021 cable-stayed bridge internal resonance external resonance stability bifurcation National Natural Science Foundation...

...Shanti Swaroop Kandala; Thomas K. Uchida; C. P. Vyasarayani Many practical systems have inherent time delays that cannot be ignored; thus, their dynamics are described using delay differential equations (DDEs). The Galerkin approximation method is one strategy for studying the stability of time...

... of multiple delays on the local stability and Hopf bifurcation of the system are explored by selecting the sum of delays as bifurcation parameter and discussing the related characteristic equations. It is found that the dynamic behaviors of the system depend on the critical value of bifurcation. In addition...

... and can result in sudden and drastic loss of stability. This paper investigates the effects of noise processes on the stability of electrostatic MEMS via a lumped-mass model that accounts for uncertainty in mass, mechanical restoring force, bias voltage, and AC voltage amplitude. We evaluated...

...Surya Samukham; Thomas K. Uchida; C. P. Vyasarayani Many dynamic processes involve time delays, thus their dynamics are governed by delay differential equations (DDEs). Studying the stability of dynamic systems is critical, but analyzing the stability of time-delay systems is challenging because...

... to study the various responses of the system. The system is subjected to hard excitation and hence the subharmonic and superharmonic resonance conditions have been studied. The second-order method of multiple scales (MMS) has been used to find the response, stability, and bifurcations of the system...