Results 61 to 70 of about 2,221 (187)
Complexity, Volume 2025, Issue 1, 2025.We investigate the nonlinear dynamics of a discrete‐time predator–prey model governed by a Holling Type‐II functional response. Starting from a biologically motivated continuous‐time system, we derive its discrete analogue via the explicit Euler method and employ nondimensionalization to reduce the number of parameters.
Muhammad Rafaqat +4 more
wiley +1 more source
Stability Analysis of a Discrete‐Time Predator–Prey Model Using Piecewise Constant Argument
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.This paper offers a thorough analysis of the discrete‐time predator–prey model obtained by using the piecewise constant argument technique. Our principal findings demonstrate that the coexistence fixed exhibits rich dynamical behavior, undergoing both Neimark–Sacker and period‐doubling bifurcations as ecological parameters vary. These bifurcations lead
Muhammad Rafaqat +5 more
wiley +1 more source
Neimark–Sacker Bifurcation of a Discrete-Time Predator–Prey Model with Prey Refuge Effect
Mathematics, 2023 In this paper, we deduce a predator–prey model with discrete time in the interior of R+2 using a new discrete method to study its local dynamics and Neimark–Sacker bifurcation.
Binhao Hong, Chunrui Zhang
doaj +1 more source
Fractional Order Plant‐Herbivore Dynamics: From Stability to Chaos Control
Discrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.This study investigates the dynamic behavior of a discrete‐time plant‐herbivore model incorporating conformable fractional‐order derivatives and a toxin‐dependent functional response. The model is discretized using a piecewise constant argument approach, enabling the analysis of memory effects and nonlocal interactions in ecological dynamics.
Güven Kaya +4 more
wiley +1 more source
Discrete Dynamics in Nature and Society, 2018 A spatiotemporal discrete predator-prey system with Allee effect is investigated to learn its Neimark-Sacker-Turing instability and pattern formation.
Huayong Zhang +4 more
doaj +1 more source
Assessment of thermal instabilities and oscillations in multifinger heterojunction bipolar transistors through a harmonic-balance-based CAD-oriented dynamic stability analysis technique [PDF]
, 2009 We present a novel analysis of thermal instabilities and oscillations in multifinger heterojunction bipolar transistors (HBTs), based on a harmonic-balance computer-aided-design (CAD)-oriented approach to the dynamic stability assessment.
Bonani, Fabrizio +3 more
core +1 more source
IET Power Electronics, Volume 17, Issue 15, Page 2250-2261, 25 November 2024.The strong non‐linear characteristics inherent in wireless power transmission systems with constant power loads often lead to unstable singular operations in actual systems. Revealing the emergence and evolution mechanism of the non‐linear characteristics of the system is an effective way to analyse and control the singular operation of actual ...
Liangyu Huang
wiley +1 more source
Numerical detection of suppression of quasi‐periodic solutions
PAMM, Volume 24, Issue 3, October 2024.Abstract Dynamical systems can show so‐called quasi‐periodic solutions, which are composed of two or more so‐called incommensurable frequencies. Solving these systems in the time‐domain is not favorable, due to the fact that quasi‐periodic solutions have no finite periodicity, thus it is unclear how long simulations must be carried out in order to ...
Alexander Seifert, Hartmut Hetzler
wiley +1 more source
Analysis of the Stability and Chaotic Dynamics of an Ecological Model
Complexity, Volume 2024, Issue 1, 2024.Modelling has become an eminent tool in the study of ecological systems. Ecological modelling can help implement sustainable development, mathematical models, and system analysis that explain how ecological processes can promote the sustainable management of resources.
Muhammad Aqib Abbasi +6 more
wiley +1 more source
Fractal analysis of Neimark-Sacker bifurcation
, 2012 In this paper we show how a change of box dimension of the orbits of two-dimensional discrete dynamical systems is connected to bifurcations in a nonhyperbolic fixed point. This connection is already shown in the case of one-dimensional discrete dynamical systems.
openaire +2 more sources