Results 61 to 70 of about 2,171 (143)

Self-Organized Patterns Induced by Neimark-Sacker, Flip and Turing Bifurcations in a Discrete Predator-Prey Model with Lesie-Gower Functional Response

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, Huayong Zhang, Shengnan Ma, Tianxiang Meng, Tousheng Huang, Hongju Yang   +5 more
doaj   +1 more source

Triopoly Cournot–Bertrand Game Based on Fractional Bounded Rationality: Static and Dynamic Investigations

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, Mohamed Abouhawwash, S. S. Askar, H. N. Agiza, Florentino Borondo   +4 more
wiley   +1 more source

Stability and Bifurcation Analysis in a Discrete Predator–Prey System of Leslie Type with Radio-Dependent Simplified Holling Type IV Functional Response

Mathematics
In 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
doaj   +1 more source

Nonlinear Dynamic Analysis on Dual‐Rotor‐Bearing‐Casing System for Marine Gas Turbine

Complexity, Volume 2024, Issue 1, 2024.
Taking the marine gas turbine as a research background, a dual‐rotor‐bearing‐casing system model was established considering the bearing nonlinearities and unbalanced excitation. Based on Lagrange’s equation of motion and rotor dynamics theory, the effects of key parameters such as radial clearance of intershaft bearing, rotor mass eccentricity, and ...
Zhikai Xing, Qiang Wang, Yongbao Liu, Mo Li, Xin Zhang, Giacomo Innocenti   +5 more
wiley   +1 more source

Stability and Cycles in a Cobweb Model with Heterogeneous Expectations [PDF]

We investigate the dynamics of a cobweb model with heterogeneous beliefs, generalizing the example of Brock and Hommes (1997). We examine situations where the agents form expectations by using either rational expectations, or a type of adaptive ...
Clem Tisdell, Laurence Lasselle, Serge Svizzero   +2 more
core  

Shrinking Point Bifurcations of Resonance Tongues for Piecewise-Smooth, Continuous Maps

, 2008
Resonance tongues are mode-locking regions of parameter space in which stable periodic solutions occur; they commonly occur, for example, near Neimark-Sacker bifurcations.
Banerjee S, D J W Simpson, di Bernardo M, di Bernardo M, Gallian J A, J D Meiss, Kowalczyk P, Leine R I, Simpson D J W, Tse C K, Yang W-M, Zhusubaliyev Z T   +11 more
core   +1 more source

Qualitative Analysis of the Discretization of a Continuous Fractional Order Prey‐Predator Model with the Effects of Harvesting and Immigration in the Population

Complexity, Volume 2024, Issue 1, 2024.
This study examines the discrete prey‐predator model in the sense of Caputo fractional derivative by incorporating harvesting on the predator population and immigration on the prey population. We establish the topological categories of the model’s fixed points.
Md. Jasim Uddin, Sarker Md. Sohel Rana, Hiroki Sayama   +2 more
wiley   +1 more source

Stability and Bifurcation of a Class of Discrete-Time Cohen-Grossberg Neural Networks with Delays

Discrete Dynamics in Nature and Society, 2011
A class of discrete-time Cohen-Grossberg neural networks with delays is investigated in this paper. By analyzing the corresponding characteristic equations, the asymptotical stability of the null solution and the existence of Neimark-Sacker bifurcations ...
Qiming Liu, Rui Xu, Zhiping Wang
doaj   +1 more source

Analysis of the Dynamical Properties of Discrete Predator‐Prey Systems with Fear Effects and Refuges

Discrete Dynamics in Nature and Society, Volume 2024, Issue 1, 2024.
This paper examines the dynamic behavior of a particular category of discrete predator‐prey system that feature both fear effect and refuge, using both analytical and numerical methods. The critical coefficients and properties of bifurcating periodic solutions for Flip and Hopf bifurcations are computed using the center manifold theorem and bifurcation
Wei Li, Chunrui Zhang, Mi Wang, Marek Galewski   +3 more
wiley   +1 more source

Neimark-Sacker Bifurcation in Demand-Inventory Model with Stock-Level-Dependent Demand

Discrete Dynamics in Nature and Society, 2017
An analysis of dynamics of demand-inventory model with stock-level-dependent demand formulated as a three-dimensional system of difference equations with four parameters is considered.
Piotr Hachuła, Magdalena Nockowska-Rosiak, Ewa Schmeidel   +2 more
doaj   +1 more source