Results 61 to 70 of about 2,227 (204)

Nonlinear normal modes, modal interactions and isolated resonance curves [PDF]

, 2015
The objective of the present study is to explore the connection between the nonlinear normal modes of an undamped and unforced nonlinear system and the isolated resonance curves that may appear in the damped response of the forced system. To this end, an
Allen, Matthew S., Detroux, Thibaut, Grappasonni, Chiara, Kerschen, Gaetan, Kuether, Robert J., Renson, Ludovic   +5 more
core   +3 more sources

A Dynamical Analysis of Supply Chain Systems Under a Dynamic Game Framework Considering Green Technology Innovation

Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
A dynamic model of a green supply chain, comprising two manufacturers incorporating green technology innovation and one product component supplier, was constructed based on a gradient adjustment mechanism. The dynamic behavior of the system was analyzed through stability analysis of equilibrium points and bifurcation conditions, using parameter ...
Minjuan Li, Ahmed Ezzat Matouk
wiley   +1 more source

Modeling the Dynamics of Forest Guards and Chainsaw Operator Interactions: Stability and Hopf Bifurcation Analysis With Time Delay

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This study develops a mathematical model to analyze the dynamic interaction between forest guards and illegal chainsaw operators within Ghana’s forest reserves. Drawing inspiration from predator–prey population models, the system captures the resistance and confrontation patterns between enforcement agents and offenders.
Elvis Kobina Donkoh, Francis Tuffour, Dominic Otoo, Francois Mahama, Prince Adu Agyemang, Peter Boakye, Chong Lin   +6 more
wiley   +1 more source

Neimark-Sacker-Turing Instability and Pattern Formation in a Spatiotemporal Discrete Predator-Prey System with Allee Effect

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, Xuebing Cong, Tousheng Huang, Shengnan Ma, Ge Pan   +4 more
doaj   +1 more source

Switching to nonhyperbolic cycles from codimension two bifurcations of equilibria of delay differential equations [PDF]

, 2019
In this paper we perform the parameter-dependent center manifold reduction near the generalized Hopf (Bautin), fold-Hopf, Hopf-Hopf and transcritical-Hopf bifurcations in delay differential equations (DDEs).
Bosschaert, Maikel M., Janssens, Sebastiaan G., Kuznetsov, Yuri A.   +2 more
core   +3 more sources

Stability, Bifurcation, and Chaos Control in a Discrete‐Time Predator–Prey Model With Gompertz Growth and Ivlev Functional Response Under Proportional Harvesting

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the complex dynamics of a discrete‐time predator–prey system incorporating proportionate prey harvesting. The model is derived from a continuous system using the forward Euler discretization method and extends a previously studied model by introducing a harvesting term. First, the positivity of solutions is established to ensure
Saad Jamhan Aldosari, Rizwan Ahmed, Waseem Abbas Shah, Asma Khalid, Fulgensia Kamugisha Mbabazi, Mengxin Chen   +5 more
wiley   +1 more source

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, I. Ozturk, S. Kartal, F. Gurcan   +3 more
doaj  

Bifurcation and Stability of Two-Dimensional Activator–Inhibitor Model with Fractional-Order Derivative

Fractal and Fractional, 2023
In organisms’ bodies, the activities of enzymes can be catalyzed or inhibited by some inorganic and organic compounds. The interaction between enzymes and these compounds is successfully described by mathematics.
Messaoud Berkal, Mohammed Bakheet Almatrafi   +1 more
doaj   +1 more source

Some Applications of Bifurcation Formulae to the Period Maps of Delay Differential Equations [PDF]

, 2005
Our purpose is to present some applications of the bifurcation formulae derived in [13] for periodic delay differential equations. We prove that a sequence of Neimark-Sacker bifurcations occurs as the parameter increases.
Röst, Gergely
core  

Travelling waves and their bifurcations in the Lorenz-96 model [PDF]

, 2017
In this paper we study the dynamics of the monoscale Lorenz-96 model using both analytical and numerical means. The bifurcations for positive forcing parameter $F$ are investigated.
Sterk, Alef E., van Kekem, Dirk L.
core   +2 more sources