Results 51 to 60 of about 178,428 (365)

Ultradiscrete Bifurcations for One Dimensional Dynamical Systems [PDF]

, 2020
Bifurcations of one dimensional dynamical systems are discussed based on some ultradiscrete equations. The ultradiscrete equations are derived from normal forms of one-dimensional nonlinear differential equations, each of which has saddle-node, transcritical, or supercritical pitchfork bifurcations.
arxiv   +1 more source

Using the Logistic Map as Compared to the Cubic Map to Show the Convergence and the Relaxation of the Period–1 Fixed Point

International Journal of Mathematics and Mathematical Sciences, 2022
In this paper, we employ the logistic map and the cubic map to locate the relaxation and the convergence to the periodic fixed point of a system, specifically, the period—1 fixed point.
Patrick Akwasi Anamuah Mensah, William Obeng-Denteh, Ibrahim Issaka, Kwasi Baah Gyamfi, Joshua Kiddy K. Asamoah   +4 more
doaj   +1 more source

Propagation Failure in Excitable Media

, 1997
We study a mechanism of pulse propagation failure in excitable media where stable traveling pulse solutions appear via a subcritical pitchfork bifurcation. The bifurcation plays a key role in that mechanism.
A. F. M. Maree, A. Hagberg, A. Hagberg, A. Hagberg, A. Hagberg, A. Hagberg, A. Karma, A. V. Holden, C. B. Muratov, C. Elphick, D. A. Kessler, E. M. Kuznetsova, E. Meron, E. Meron, H. Sevcikova, J. D. Dockery, J. J. Taboada, J. J. Tyson, M. Bär, M. Bär, M. Courtemanche, M. Markus, P. Coullet, P. Schütz, R. E. Goldstein, S. P. Dawson, T. Ohta   +26 more
core   +1 more source

Synchronous motion of two vertically excited planar elastic pendula [PDF]

, 2012
The dynamics of two planar elastic pendula mounted on the horizontally excited platform have been studied. We give evidence that the pendula can exhibit synchronous oscillatory and rotation motion and show that stable in-phase and anti-phase synchronous ...
Anicin, Bajaj, Balthazar, Breitenberger, Carretero-Gonzalez, Cartmell, Cayton, Chudzik, Cuerno, Czolczynski, Davidovic, Hatwal, Hatwal, Hatwal, Holm, Kuznetsov, Kuznetsov, Lai, Lynch, Lynch, Lynch, M. Kapitaniak, Maistrenko, Miles, Nunez-Yepez, Olsson, P. Perlikowski, Perlikowski, Perlikowski, Pokorny, Rusbridge, Sado, Song, Stefanski, Stefanski, T. Kapitaniak, Vazquez-Gonzalez, Vitt, Warminski, Warminski, Warminski   +40 more
core   +2 more sources

Global phase portraits of the key pitchfork bifurcation [PDF]

SCIENTIA SINICA Mathematica, 2019
This paper deals with the following quadratic polynomial differential system$\frac{dx}{dt}=y^{2}-y-x,$ $\frac{dy}{dt}=x^{2}$ $-\,~\mu~x-y,$with parameter $\mu\in\mathbb{R}$, which is the key example for studying the pitchfork bifurcation of a singular point. We classify the global phase portraits in the Poincare disc of this system when $\mu$ varies.
Jaume, Llibre, Shimin, Li
openaire   +2 more sources

Chua’s oscillator: an introductory approach to chaos theory [PDF]

Revista Brasileira de Ensino de Física, 2020
The purpose of this article is to build an introductory approach to chaos theory from the Chua’ oscillator for students of mathematics, physics and engineering.
Alexandre Sordi
doaj   +1 more source

Persistence and bifurcation analysis among four species interactions with the influence of competition, predation and harvesting

Iraqi Journal of Science, 2023
      In this paper, the interplay among four population species is offered. The system consists of two competitive prey, predator and super predators.
S. Jawad, Marwa Al Nuaimi
semanticscholar   +1 more source

The Local Bifurcation of Food Chain Prey-Predator Model with Crowley-Martin-Type of Functional Response

Ibn Al-Haitham Journal for Pure and Applied Sciences
In this work, the conditions of the occurrence of the local bifurcation (such as saddle-node, trans critical ,and pitchfork) of all steady points of a food chain model. With fear and Growly-Martin functional response have been established.
Asmaa Aziz, Azhar Abbas Majeed
doaj   +1 more source

Relaxation to Fixed Points in the Logistic and Cubic Maps: Analytical and Numerical Investigation

Entropy, 2013
Convergence to a period one fixed point is investigated for both logistic and cubic maps. For the logistic map the relaxation to the fixed point is considered near a transcritical bifurcation while for the cubic map it is near a pitchfork bifurcation. We
Edson D. Leonel, Juliano A. de Oliveira, Edson R. Papesso   +2 more
doaj   +1 more source

Finite Cascades of Pitchfork Bifurcations and Multistability in Generalized Lorenz-96 Models

Mathematical and Computational Applications, 2020
In this paper, we study a family of dynamical systems with circulant symmetry, which are obtained from the Lorenz-96 model by modifying its nonlinear terms. For each member of this family, the dimension n can be arbitrarily chosen and a forcing parameter
Anouk F. G. Pelzer, Alef E. Sterk
doaj   +1 more source