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Keywords: stability
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Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2022, 17(7): 071008.
Paper No: CND-21-1353
Published Online: May 24, 2022
.... A fractional scheme has been proposed. The scheme was a modified version of the existing numerical scheme. The stability of the scheme was found for the scalar linear case, and convergence conditions were found when it was applied to the system of fractional differential equations. The main advantage...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2022, 17(9): 091003.
Paper No: CND-22-1025
Published Online: May 18, 2022
... 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...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. June 2022, 17(6): 061004.
Paper No: CND-21-1273
Published Online: March 14, 2022
... 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...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2021, 16(10): 101001.
Paper No: CND-20-1443
Published Online: August 11, 2021
... 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...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2021, 16(9): 091007.
Paper No: CND-20-1378
Published Online: July 27, 2021
...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...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2020, 15(11): 111005.
Paper No: CND-20-1078
Published Online: September 28, 2020
... 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...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2020, 15(11): 111006.
Paper No: CND-20-1093
Published Online: September 28, 2020
... 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...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2020, 15(11): 111008.
Paper No: CND-20-1250
Published Online: September 28, 2020
...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...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2020, 15(4): 041003.
Paper No: CND-19-1266
Published Online: February 24, 2020
... 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...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2020, 15(1): 011003.
Paper No: CND-19-1126
Published Online: November 11, 2019
... 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...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2019, 14(11): 111007.
Paper No: CND-19-1084
Published Online: September 23, 2019
... 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...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. June 2019, 14(6): 061002.
Paper No: CND-18-1273
Published Online: April 8, 2019
... 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...
Journal Articles
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. May 2019, 14(5): 054501.
Paper No: CND-18-1369
Published Online: March 14, 2019
...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...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2018, 13(11): 111005.
Paper No: CND-17-1495
Published Online: September 10, 2018
...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...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2018, 13(10): 101003.
Paper No: CND-17-1527
Published Online: August 1, 2018
...A. Arun Govind Neelan; Manoj T. Nair A family of Runge–Kutta (RK) methods designed for better stability is proposed. Authors have optimized the stability of RK method by increasing the stability region by trading some of the higher order terms in the Taylor series. For flow involving shocks...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2018, 13(10): 101004.
Paper No: CND-18-1115
Published Online: August 1, 2018
... Nonlinear dynamical systems Real-Time dynamics simulation Stability Dynamical analysis Dynamical method Multi-unit hydropower systems (MUHSs) are complex nonlinear systems including several components, such as synchronous generators, hydro-turbines, governors, and penstocks. The MUHS...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2018, 13(10): 101002.
Paper No: CND-18-1043
Published Online: July 30, 2018
.... With shorter seal length, the sealing effect is decreased, whereas the system stability is improved. The fluid-whip phenomenon can be eliminated by increasing the mass unbalance eccentricity at a certain rotational speed. where ρ i is the sealed medium density in the i th seal cavity; A 1 and A 2...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2018, 13(9): 090913.
Paper No: CND-17-1332
Published Online: July 26, 2018
.... 30 07 2017 30 10 2017 Analytical solution systems Continuation Methods Nonlinear dynamical systems Nonlinear oscillations Nonlinear phenomena Stability Stochastic systems Symbolic solution systems Vibration Writing Eq. (4) in state space form (5) { d...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2018, 13(9): 090909.
Paper No: CND-17-1291
Published Online: July 26, 2018
... in different speed range. Jumping phenomenon is also observed for a high value of bearing parameter with unbalance. The dynamic stability of journal bearing system is analyzed with the variation of parameters ω ¯ , Γ and a ¯ . Equations (7) – (10) are solved by the continuation method using...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2018, 13(8): 081003.
Paper No: CND-18-1005
Published Online: June 18, 2018
...Abhinav Ravindra Dehadrai; Ishan Sharma; Shakti S. Gupta We study the stability of a pre-tensioned, heavy cable traveling vertically against gravity at a constant speed. The cable is modeled as a slender beam incorporating rotary inertia. Gravity modifies the tension along the traveling cable...