Results 71 to 80 of about 2,221 (187)
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.
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International Journal of Differential Equations, Volume 2024, Issue 1, 2024.In the present article, the matrix projective synchronization (MPS) and the inverse matrix projective synchronization (IMPS) have been analyzed with fractional‐order chaotic systems with uncertain terms. First, we theoretically discussed both types of synchronizations.
Vijay K. Shukla +5 more
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Dynamical analysis of discretized Logistic model with Caputo- Fabrizio fractional derivative [PDF]
Computational Ecology and Software, 2021 In this paper we consider a fractional order Logistic model with Caputo-Fabrizio fractional derivative. By applying two-step Adams-Bashforth scheme, we obtain a system of difference equations.
H. Karakaya +3 more
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Investigating Global Stability and Bifurcation in an Ecological Dynamical System
Complexity, Volume 2024, Issue 1, 2024.We consider a continuous‐time model describing the interaction between phytoplankton and zooplankton using a Holling type‐II response. We then transform this continuous‐time model into a discrete‐time counterpart using a fractional‐order discretization method.
Muhammad Salman Khan +4 more
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Cournot–Bertrand Duopoly Model: Dynamic Analysis Based on a Computed Cost
Complexity, Volume 2024, Issue 1, 2024.In this paper, some mathematical properties and dynamic investigations of a Cournot–Bertrand duopoly game using a computed nonlinear cost are studied. The game is repeated and its evolution is presented by noninvertible map. The fixed points for this map are calculated and their stability conditions are discussed.
S. S. Askar +2 more
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Mathematical and Computer Modelling of Dynamical SystemsIn this paper, a discrete predator-prey model incorporating herd behaviour and square root response function is deduced from its continuous version by the semi-discretization method.
Danyang Li, Xianyi Li
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Entropy, 2017 The formation of self-organized patterns in predator-prey models has been a very hot topic recently. The dynamics of these models, bifurcations and pattern formations are so complex that studies are urgently needed.
Feifan Zhang +5 more
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Controlling Neimark-Sacker Bifurcation in Delayed Species Model Using Feedback Controller
Advances in Mathematical Physics, 2016 Based on the stability and orthogonal polynomial approximation theory, the ordinary, dislocated, enhancing, and random feedback control methods are used to suppress the Neimark-Sacker bifurcation to fixed point in this paper. It is shown that the convergence rate of enhancing feedback control and random feedback control can be faster than those of ...
Jie Ran, Yanmin Liu, Jun He, Xiang Li
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Discrete Dynamics in Nature and Society, Volume 2024, Issue 1, 2024.A triopoly game is introduced to study the competition among three firms in a single market, each operating in an oligopolistic market. Our study is concerned with a static model in which the market has taxes and a quadratic cost function in quantity.
Mahmoud Awad +4 more
wiley +1 more source
MathematicsIn this paper, we use a semi-discretization method to consider the predator–prey model of Leslie type with ratio-dependent simplified Holling type IV functional response.
Luyao Lv, Xianyi Li
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