... 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...

... i n The stability of the proposed fractional scheme is performed by employing the von Neumann stability analysis. In this analysis, a set of transformations are substituted into the resulting difference equations, and after that stability condition is imposed. For this procedure...

... 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...

... that responses can drastically jump with the same detuning parameter σ 3 (e.g., σ 3   = −0.5) when the excitation amplitude B is changed. As seen in Fig. 5 , equilibrium solutions ( a 1 ,   a 2 ,   and   a 3 ) lose their stability by Hopf bifurcations...

...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...

... Actuated Microbridges ,” Int. J. Struct. Stability Dyn. , 11 ( 06 ), pp. 1119 – 1137 . 10.1142/S0219455411004506 [27] Xu , T. , Ruzziconi , L. , and Younis , M. I. , 2017 , “ Global Investigation of the Nonlinear Dynamics of Carbon Nanotubes ,” Acta Mech. , 228 ( 3 ), pp...

... stability, existence, and direction of Neimark–Sacker bifurcation of the positive equilibrium point of the discrete system. It is observed that the discrete system shows much richer dynamic behaviors than its fractional-order form such as Neimark–Sacker bifurcation and chaos. Finally, numerical simulations...

... periodic oscillations. Moreover, when the system is uncoupled, i.e., k 1 = k 2 = 0 , one can check that the isolated subnetwork is always quiescent for any time delay. In this case, the delayed couplings can make the uncoupled network loses its stability and give rise...

...Sunhua Huang; Bin Wang The stabilization problem of fractional-order nonlinear systems for 0 < α < 1 is studied in this paper. Based on Mittag-Leffler function and the Lyapunov stability theorem, two practical stability conditions that ensure the stabilization of a class of fractional-order...

...Xinghu Teng; Zaihua Wang Stability of a dynamical system may change from stable to unstable or vice versa, with the change of some parameter of the system. This is the phenomenon of stability switches, and it has been investigated intensively in the literature for conventional time-delay systems...