Results 31 to 40 of about 431 (175)
Neimark–Sacker Bifurcations in Planar, Piecewise-Smooth, Continuous Maps [PDF]
SIAM Journal on Applied Dynamical Systems, 2008 The multipliers of a fixed point of a piecewise-smooth, continuous map may change discontinuously as the fixed point crosses a discontinuity under smooth variation of parameters. We study the case when the multipliers “jump” from inside to outside the unit circle, and we assume the map is two-dimensional and piecewise-affine.
David J. W. Simpson, James D. Meiss
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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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Implementation of a digital evaluation platform to analyze bifurcation based nonlinear amplifiers [PDF]
Advances in Radio Science, 2016 Recently, nonlinear amplifiers based on the supercritical Andronov–Hopf bifurcation have become a focus of attention, especially in the modeling of the mammalian hearing organ.
S. Feldkord, M. Reit, W. Mathis
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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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A Novel Discrete-Time Leslie–Gower Model with the Impact of Allee Effect in Predator Population
Complexity, 2022 The discrete-time system has more complex and chaotic dynamical behaviors as compared to the continuous-time system. This paper extends a discrete Leslie–Gower predator-prey system with the Allee effect in the predator’s population, whose dynamics are ...
S. Vinoth +5 more
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Analytical investigation of single and double Neimark-Sacker bifurcations
Periodica Polytechnica Mechanical Engineering, 2012 The analytical investigation of bifurcations is a very challenging task for many applied scientists and engineers. Often, numerical simulations cannot clarify the complicated dynamics of mechanical systems, in this cases, preprogrammed softwares can be of valid help during the investigation.
HABIB, Giuseppe +2 more
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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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Discrete Dynamics in Nature and Society, 2012 A new bifurcation critical criterion of flip-Neimark-Sacker bifurcation is proposed for detecting or anticontrolling this type of codimension-two bifurcation of discrete systems in a general sense. The criterion is built on the properties of coefficients
Shengji Yao
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Spatiotemporal Patterns Formed by a Discrete Nutrient-Phytoplankton Model with Time Delay
Complexity, 2020 In this research, a continuous nutrient-phytoplankton model with time delay and Michaelis–Menten functional response is discretized to a spatiotemporal discrete model.
Feifan Zhang +4 more
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Bifurcation and Stability of a Spatiotemporal Prey–Predator Model: A Computational Perspective
Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.In this research work, a ratio‐dependent prey–predator system is investigated for bifurcation and stability analysis. The unique existence of the solution, boundedness, and positivity of the temporal model is derived. Stability analysis of positive steady states is analyzed.
Muhammad Waqas Yasin +4 more
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