Stochastic sensitivity and noise-induced bifurcations of limit cycles [PDF]
Applied Mathematical Sciences, 2013 Deformations of limit cycles for dynamical systems forced by random disturbances are studied. A mathematical tool based on stochastic sensitivity analysis is shortly presented. A phenomenon of noise-induced bifurcation of supersensitive limit cycle of randomly forced Brusselator is discussed.
Ryashko, L.
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Static Voltage Stability Region Considering Limit Induced Bifurcation
Zhongguo dianliWith the widespread application of a high percentage of renewable energy in power systems, the volatility and randomness of renewable energy pose challenges for static voltage stability assessment of power systems.
Daobing LIU +5 more
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EVALUATION OF EFFECT OF REACTIVE POWER CONTROL STRATEGY BASED ON VOLTAGE TERMINAL OF GENERATORS ON LIMIT INDUCED BIFURCATION AND DYNAMIC VOLTAGE STABILITY MARGIN [PDF]
مجله مدل سازی در مهندسی, 2013 Reactive power limit of power system generators has a significant effect on the static voltage stability margin such as maximum load ability point and dynamic voltage stability margin such as HB, LIB and SNB.
M.H. Velayati, N. Amjady, I. Khajevandi
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Spatiotemporal dynamics for a diffusive mussel–algae model near a Hopf bifurcation point
Advances in Difference Equations, 2021 In this paper, the Hopf bifurcation and Turing instability for a mussel–algae model are investigated. Through analysis of the corresponding kinetic system, the existence and stability conditions of the equilibrium and the type of Hopf bifurcation are ...
Shihong Zhong, Xuehan Cheng, Biao Liu
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Prediction of operating conditions of the power system considering reactive power limits of generators and dynamic voltage stability margin by using neural network [PDF]
مجله مدل سازی در مهندسی, 2017 In power system, dynamic voltage stability margin corresponding with hopf bifurcation (HB) and reactive power limit of generators, As the two basic concepts in power system operation are defined in terms of voltage stability.
Issa Khajevandi +2 more
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EVALUATION OF VOLTAGE STABILITY DYNAMIC LOADING MARGIN CONSIDERING THE EFFECT OF LOAD MODELS, EXCITATION SYSTEM PARAMETERS AND REACTIVE POWER GENERATION LIMITS OF GENERATORS WITH A COMBINATION METHOD [PDF]
مجله مدل سازی در مهندسی, 2010 Nowadays, Voltage stability is an important types of power system stabilities. To analysis of voltage stability, different static and dynamic boundaries such as maximum Loadability point (MLP) and bifurcation points such as saddle node bifurcation (SNB),
نیما Amjady +1 more
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Electronic Research Archive, 2022 Mixed-mode oscillations (MMOs) consisting of spikes alternating with a series of subthreshold oscillations have been observed in various neurons related to some physiological functions.
Li Li, Zhiguo Zhao
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The transition between stochastic and deterministic behavior in an excitable gene circuit. [PDF]
PLoS ONE, 2012 We explore the connection between a stochastic simulation model and an ordinary differential equations (ODEs) model of the dynamics of an excitable gene circuit that exhibits noise-induced oscillations.
Robert C Hilborn +4 more
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Nonlinear Flutter Analysis for a Long-Span Suspension Bridge
Shock and Vibration, 2021 The wind-induced flutter of the long-span suspension bridge structure is extremely harmful to the bridge. Therefore, it is necessary to study the nonlinear problem of wind-induced flutter.
Jieshan Liu +3 more
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Noise-induced escape from bifurcating attractors: Symplectic approach in the weak-noise limit [PDF]
Physical Review E, 2009 The effect of noise is studied in one-dimensional maps undergoing transcritical, tangent, and pitchfork bifurcations. The attractors of the noiseless map become metastable states in the presence of noise. In the weak-noise limit, a symplectic two-dimensional map is associated with the original one-dimensional map.
Demaeyer, Jonathan, Gaspard, Pierre
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