Results 51 to 60 of about 170,965 (333)

Bifurcation analysis of commensalism intraction and harvisting on food chain model

Brazilian Journal of Biometrics, 2023
In this paper, we study the incorporation of the commensalism interaction and harvesting on the Lotka–Volterra food chain model. The system provides one commensal prey, one harvested prey, and two predators.
S. Jawad, Sarab Kazim Hassan
semanticscholar   +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

Analysis of the shearing instability in nonlinear convection and magnetoconvection [PDF]

, 1996
Numerical experiments on two-dimensional convection with or without a vertical magnetic field reveal a bewildering variety of periodic and aperiodic oscillations.
A M Rucklidge, Arnéodo A, Beyn W-J, Brownjohn D P, Brummell N, Champneys A R, Chandrasekhar S, Chui A Y K, Deardorff J W, Dellnitz M, Doedel E, Glendinning P, Glendinning P, Glendinning P, Glendinning P, Golubitsky M, Guckenheimer J, Howard L N, Hughes D W, Knobloch E, Krishnamurti R, Lythe G D, Massaguer J M, Matthews P C, Matthews P C, Moore D R, P C Matthews, Proctor M R E, Proctor M R E, Proctor M R E, Proctor M R E, Rucklidge A M, Rucklidge A M, Rucklidge A M, Rucklidge A M, Rucklidge A M, Rüdiger G, Shil'nikov A L, Sparrow C, Tabeling P, Weiss N O, Willis G E   +41 more
core   +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

Stochastic attractor bifurcation for the two-dimensional Swift-Hohenberg equation with multiplicative noise

Electronic Journal of Differential Equations, 2023
This article concerns the dynamical transitions of the stochastic Swift-Hohenberg equation with multiplicative noise on a two-dimensional domain (-L,L) times (-L, L).
Qingkun Xiao, Hongjun Gao
semanticscholar   +1 more source

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

Symmetry-breaking instabilities of convection in squares [PDF]

, 1996
Convection in an infinite fluid layer is often modelled by considering a finite box with periodic boundary conditions in the two horizontal directions. The translational invariance of the problem implies that any solution can be translated horizontally ...
Rucklidge, A.M.
core   +2 more sources

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

The dynamics of the pendulum suspended on the forced Duffing oscillator [PDF]

, 2012
We investigate the dynamics of the pendulum suspended on the forced Duffing oscillator. The detailed bifurcation analysis in two parameter space (amplitude and frequency of excitation) which presents both oscillating and rotating periodic solutions of ...
Brzeski, Piotr, Kapitaniak, Tomasz, Perlikowski, Przemyslaw, Yanchuk, Serhiy   +3 more
core   +1 more source

Sequence of Routes to Chaos in a Lorenz-Type System

Discrete Dynamics in Nature and Society, 2020
This paper reports a new bifurcation pattern observed in a Lorenz-type system. The pattern is composed of a main bifurcation route to chaos (n=1) and a sequence of sub-bifurcation routes with n=3,4,5,…,14 isolated sub-branches to chaos.
Fangyan Yang, Yongming Cao, Lijuan Chen, Qingdu Li   +3 more
doaj   +1 more source