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Asymptotical stability of multi-delayed cellular neural networks with impulsive effects

Li, Dong; Yang, Dan; Wang, Hui; Zhang, Xiaohong; Wang, … - In: Physica A: Statistical Mechanics and its Applications 388 (2009) 2, pp. 218-224

In this work, the stability issues of the equilibrium points of multi-delayed cellular neural networks with impulsive … transformation, several new delay-dependent and delay-independent asymptotical stability conditions are derived by the stability …

Persistent link: https://www.econbiz.de/10010872909

Dynamical mechanism of Bmal1/Rev-erbα loop in circadian clock

Li, Ying; Liu, Zengrong - In: Physica A: Statistical Mechanics and its Applications 430 (2015) C, pp. 126-135

In mammals, the circadian clock is driven by multiple integrated transcriptional feedback loops involving three kinds of central clock-controlled elements (CCEs): E-boxes, D-boxes and ROR-elements. With the aid of CCEs, the concentrations of the active proteins are approximated by the delayed...

Persistent link: https://www.econbiz.de/10011264530

Hopf bifurcation and harvesting control of a bioeconomic plankton model with delay and diffusion terms

Zhao, Hongyong; Huang, Xuanxuan; Zhang, Xuebing - In: Physica A: Statistical Mechanics and its Applications 421 (2015) C, pp. 300-315

phytoplankton is assumed to undergo exploitation. Some sufficient conditions ensuring the stability and bifurcation for the model … are provided by using stability and bifurcation theory. Our results show that harvest effort can control bifurcation and … resume system’s stability in the case of positive economic profit, and over exploitation will result in the extinction of the …

Persistent link: https://www.econbiz.de/10011194035

Stochastic Hopf bifurcation in a biased van der Pol model

Leung, H.K. - In: Physica A: Statistical Mechanics and its Applications 254 (1998) 1, pp. 146-155

The transient characteristics of a nonequilibrium phase transition is investigated in a model of abiased van der Pol oscillator. The state-independent driving term which triggers the bifurcation from limit cycle to fixed point is treated as a randomly fluctuating quantity. The advancement of the...

Persistent link: https://www.econbiz.de/10010872851

Non-robust dynamic inferences from macroeconometric models: Bifurcation stratification of confidence regions

Barnett, William A.; Duzhak, Evgeniya Aleksandrovna - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 15, pp. 3817-3825

number of different kinds of dynamics, from monotonic stability at one extreme to chaos at the other extreme, and with many …

Persistent link: https://www.econbiz.de/10010872967

Oscillatory dynamics in a simple gene regulatory network mediated by small RNAs

Shen, Jianwei; Liu, Zengrong; Zheng, Weixing; Xu, Fengdan; … - In: Physica A: Statistical Mechanics and its Applications 388 (2009) 14, pp. 2995-3000

investigate its dynamical behaviors. In addition, we also derive the theoretical results of globally asymptotic stability and …

Persistent link: https://www.econbiz.de/10010874936

Enhancement of the stability of lattice Boltzmann methods by dissipation control

Gorban, A.N.; Packwood, D.J. - In: Physica A: Statistical Mechanics and its Applications 414 (2014) C, pp. 285-299

Artificial dissipation is a well known tool for the improvement of stability of numerical algorithms. However, the use … Lattice Boltzmann Methods’ (LBM) stability. In addition to some previously known methods, the Multiple Relaxation Time (MRT …

Persistent link: https://www.econbiz.de/10011060829

Effects of non-Gaussian noise near supercritical Hopf bifurcation

Zhang, Ruiting; Hou, Zhonghuai; Xin, Houwen - In: Physica A: Statistical Mechanics and its Applications 390 (2011) 2, pp. 147-153

We have studied the effects of non-Gaussian colored noise in a chemical oscillation system, the well-known Brusselator model, in the parameter region close to the supercritical Hopf bifurcation. With the variation of the parameter q, which quantifies the deviation from Gaussian character, the...

Persistent link: https://www.econbiz.de/10011064240

Asymptotically stable equilibrium and limit cycles in the Rock–Paper–Scissors game in a population of players with complex personalities

Platkowski, Tadeusz; Zakrzewski, Jan - In: Physica A: Statistical Mechanics and its Applications 390 (2011) 23, pp. 4219-4226

the limit cycles. Their stability depends exclusively on two model parameters: the sum of the entries of the RPS payoff …

Persistent link: https://www.econbiz.de/10010588460

Nonlinear complex dynamics and Keynesian rigidity: A short introduction

Jovero, Edgardo - In: Physica A: Statistical Mechanics and its Applications 355 (2005) 1, pp. 85-94

The topic of this paper is to show that the greater acceptance and intense use of complex nonlinear dynamics in macroeconomics makes sense only within the neoKeynesian tradition. An example is presented regarding the behavior of an open-economy two-sector growth model endowed with Keynesian...

Persistent link: https://www.econbiz.de/10010590815