Results 71 to 80 of about 180,188 (276)
Shil'nikov Chaos control using Homoclinic orbits and the Newhouse region
, 2006 A method of controlling Shil'nikov's type chaos using windows that appear in the 1 dimensional bifurcation diagram when perturbations are applied, and using existence of stable homoclinic orbits near the unstable one is presented and applied to the ...
Furui, Sadataka, Niiya, Shohei
core +1 more source
IET Generation, Transmission &Distribution, Volume 19, Issue 1, January/December 2025.1. The reactive current injection system has infinite saddle points, and for every saddle point, there are two special lines (the blue lines in Figure 2). When the initial states are situated on the special lines, the final states of the reactive current injection will converge to the saddle points. 2.
Shuaishuai Lv +7 more
wiley +1 more source
Communication in Biomathematical Sciences, 2023 We study the codimension-two bifurcations exhibited by a recently-developed SIR-type mathematical model for the spread of COVID-19, as its two main parameters -the susceptible individuals' cautiousness level and the hospitals' bed-occupancy rate- vary ...
Livia Owen, Jonathan Hoseana, Benny Yong
doaj +1 more source
Spiral attractors as the root of a new type of "bursting activity" in the Rosenzweig-MacArthur model
, 2018 We study the peculiarities of spiral attractors in the Rosenzweig-MacArthur model, that describes dynamics in a food chain "prey-predator-superpredator".
Bakhanova, Yu. V. +4 more
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Complexity, Volume 2025, Issue 1, 2025.The aim of this work is to study the alumina–tantalum/motor oil hybrid nanoliquid flow in a porous cavity subjected to a uniform magnetic field. We have used the Darcy–Bénard convection model for the momentum equation and a new local thermal nonequilibrium formulation for heat transport.
Sèmako Justin Dèdèwanou +9 more
wiley +1 more source
Stability, Bifurcation, and Quenching Chaos of a Vehicle Suspension System
Journal of Advanced Transportation, 2018 This study investigated the dynamics and control of a nonlinear suspension system using a quarter-car model that is forced by the road profile. Bifurcation analysis used to characterize nonlinear dynamic behavior revealed codimension-two bifurcation and ...
Chun-Cheng Chen, Shun-Chang Chang
doaj +1 more source
Transversal homoclinics in nonlinear systems of ordinary differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2000 Bifurcation of transversal homoclinics is studied for a pair of ordinary differential equations with periodic perturbations when the first unperturbed equation has a manifold of homoclinic solutions and the second unperturbed equation is vanishing.
Michal Fečkan
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Physical Review Research, 2022 We study the emergence of dissipative localized states in phase mismatched singly resonant optical parametric oscillators. These states arise in two different bistable configurations due to the locking of front waves connecting the two coexisting states.
P. Parra-Rivas, C. Mas Arabí, F. Leo
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A phenomenological approach to normal form modeling: a case study in laser induced nematodynamics
, 2005 An experimental setting for the polarimetric study of optically induced dynamical behavior in nematic liquid crystal films has allowed to identify most notably some behavior which was recognized as gluing bifurcations leading to chaos.
Azzam R. M. A. +17 more
core +1 more source
Journal of Mathematics, Volume 2025, Issue 1, 2025.This research describes a predator–prey system that takes into account the generalized Allee effect, aiming to derive general conclusions applicable to specific Allee effect functions through the use of a generalized function. To make sure the suggested model was accurate from a mathematical perspective, we first investigated the solutions to determine
Gaji Zhuo +5 more
wiley +1 more source