Results 71 to 80 of about 12,799 (220)

feasible generalized Liu estimator, least trimmed squares estimator, multicollinearity, outlier, semiparametric regression models

AIMS Mathematics
Considering the impact of fear levels, Allee effects and hunting cooperation factors on system stability, a Leslie-Gower predator-prey model was formulated.
Weili Kong, Yuanfu Shao
doaj   +1 more source

Collision and Annihilation of Relative Equilibrium Points Around Asteroids with a Changing Parameter [PDF]

, 2015
In this work, we investigate the bifurcations of relative equilibria in the gravitational potential of asteroids. A theorem concerning a conserved quantity, which is about the eigenvalues and number of relative equilibria, is presented and proved. The conserved quantity can restrict the number of non-degenerate equilibria in the gravitational potential
arxiv   +1 more source

Fluid‐Structure Interaction Simulation of Mitral Valve Structures in a Left Ventricle Model

International Journal for Numerical Methods in Engineering, Volume 126, Issue 8, 30 April 2025.
ABSTRACT Simulations of blood flow in patient‐specific models of heart ventricles is a rapidly developing field of research, showing promise to improve future treatment of heart diseases. Fluid‐structure interaction simulation of the mitral valve, with its complex structure including leaflets, chordae tendineae, and papillary muscles, provides ...
Joel Kronborg, Johan Hoffman
wiley   +1 more source

Complex Periodic Motions and Bifurcations of a Forced Duffing Oscillator with Its Field-Programmable Gate Arrays Implementation

Applied Sciences
The dynamical behavior of a Duffing oscillator under periodic excitation is investigated using semi-analytical methods. Bifurcation trees with varying periodic excitation are constructed.
Yan Liu, Zehua Yang, Taokai Mao, Wencheng Li   +3 more
doaj   +1 more source

Analysis of degenerate Chenciner bifurcation [PDF]

International Journal of Bifurcation and Chaos Vol. 30, No. 16, 2050245 (2020)
Degenerate Chenciner bifurcation in generic discrete-time dynamical systems is studied in this work. While the non-degenerate Chenciner bifurcation can be described by 2 bifurcation diagrams, the degeneracy we studied in this work gives rise to 32 different bifurcation diagrams.
arxiv   +1 more source

Homoclinic Saddle-Node Bifurcations and Subshifts in a Three-Dimensional Flow [PDF]

Archive for Rational Mechanics and Analysis, 1998
We study a two‐parameter family of three‐dimensional vector fields that are small perturbations of an integrable system possessing a line Γ of degenerate saddle points connected by a manifold of homoclinic loops. Under perturbation, this manifold splits and undergoes a quadratic homoclinic tangency. Perturbation methods followed by geometrical analyses
Hek, G., Doelman, A., Holmes, P.
openaire   +5 more sources

Lorenz attractor through saddle-node bifurcations

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1996
In this paper we consider the unfolding of a geometric Lorenz attractor when the singularity contained in this attractor goes through a saddle-node bifurcation. It is shown that these unfoldings can carry such a geometric Lorenz attractor either directly into a hyperbolic Plykin attractor or into phenomena associated to the unfolding of homoclinic ...
openaire   +3 more sources

On the deduction and quantification of irruptive dynamics in mountain pine beetle population and proxy data

Journal of Applied Entomology, Volume 149, Issue 3, Page 309-323, April 2025.
Abstract In attempting to develop a coherent description of the irruptive dynamics of mountain pine beetle (MPB) in North America, we examined a range of cases where authors described the dependency of intrinsic population growth rates on population attack levels.
B. J. Cooke, C. J. K. MacQuarrie, A. L. Carroll   +2 more
wiley   +1 more source

The Twisting Bifurcations of Double Homoclinic Loops with Resonant Eigenvalues

Abstract and Applied Analysis, 2013
The twisting bifurcations of double homoclinic loops with resonant eigenvalues are investigated in four-dimensional systems. The coexistence or noncoexistence of large 1-homoclinic orbit and large 1-periodic orbit near double homoclinic loops is given ...
Xiaodong Li, Weipeng Zhang, Fengjie Geng, Jicai Huang   +3 more
doaj   +1 more source

Dynamic analysis of a modified algae and fish model with aggregation and Allee effect

Mathematical Biosciences and Engineering, 2022
In the paper, under the stress of aggregation and reproduction mechanism of algae, we proposed a modified algae and fish model with aggregation and Allee effect, its main purpose was to further ascertain the dynamic relationship between algae and fish ...
Shengyu Huang, Hengguo Yu, Chuanjun Dai, Zengling Ma, Qi Wang , Min Zhao   +5 more
doaj   +1 more source