Results 41 to 50 of about 2,221 (187)
Bifurcation Analysis for a Two-Dimensional Discrete-Time Hopfield Neural Network with Delays
International Journal of Mathematics and Mathematical Sciences, 2007 A bifurcation analysis is undertaken for a discrete-time Hopfield neural network with four delays. Conditions ensuring the asymptotic stability of the null solution are obtained with respect to two parameters of the system.
Yaping Ren, Yongkun Li
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Journal of Physics: Conference Series, 2008 The coefficients of the simplest normal forms of both high-dimensional Neimark-Sacker and generalized Neimark-Sacker bifurcation systems were discussed. On the basis of the simplest normal form theory, using appropriate nonlinear transformations, direct computation and the second complete induction, the central manifold equations were further reduced ...
Q-C Zhang, R-L Tian
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Dynamic Behavior and Bifurcation Analysis of a Difference Equation Including Exponential Terms
Pan-American Journal of MathematicsIn this paper, the local stability, the boundedness, rate of convergence and the conditions of Neimark-Sacker bifurcation concerning difference equation xn+1=α1xn+α2xn-1+β1xnexp(-x2n-1)+β2xn-1exp(-x2n-1), n=0,1, ..., are investigated.
A.A. Elsadany +2 more
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Advances in Difference Equations, 2019 In this paper, the dynamical behaviors of a discrete-time prey–predator model with Allee effect on the prey population are investigated. The existence and topological classification of the fixed points of the model are analyzed.
Figen Kangalgil
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Controlling Neimark–Sacker bifurcations in discrete-time multivariable systems
Systems & Control Letters, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D'amico, Edith Maria Belen +3 more
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, 2010 We investigate a population dynamics model that exhibits a Neimark Sacker bifurcation with a period that is naturally close to 4. Beyond the bifurcation, the period becomes soon locked at 4 due to a strong resonance, and a second attractor of period 2 ...
A. Pikovsky +8 more
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Analyzing Predator-Prey Interaction in Chaotic and Bifurcating Environments
Chaos Theory and Applications, 2023 An analysis of discrete-time predator-prey systems is presented in this paper by determining the minimum amount of prey consumed before predators reproduce, as well as by analyzing the system's stability and bifurcation. In order to investigate the local
Abdul Khaliq, Ansar Abbas
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From Hopf to Neimark Sacker bifurcation: a computational algorithm [PDF]
International Journal of Computing Science and Mathematics, 2008 To be published in International Journal of Computing Science and Mathematics Volume 1, No.
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Stability and Bifurcation Analysis of a Nonlinear Discrete Logistic Model with Delay
Discrete Dynamics in Nature and Society, 2013 We consider a nonlinear discrete logistic model with delay. The characteristic equation of the linearized system at the positive equilibrium is a polynomial equation involving high order terms.
Daiyong Wu +3 more
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Torsional solutions of convection in rotating fluid spheres [PDF]
, 2019 A numerical study of the nonlinear torsional solutions of convection in rotating, internally heated, self-gravitating fluid spheres is presented. Their dependence on the Rayleigh number has been found for two pairs of Ekman (E) and small Prandtl (Pr ...
Net Marcé, Marta +1 more
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