Results 131 to 140 of about 35,466 (285)

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

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

Analysis of stationary points and their bifurcations in the ABC flow

, 2018
Analytical expressions for coordinates of stationary points and conditions for their existence in the ABC flow are received. The type of the stationary points is shown analytically to be saddle-node.
Didov, A. A., Uleysky, M. Yu.
core   +1 more source

Dynamics of a modified Leslie-Gower predator-prey model with double Allee effects

Mathematical Biosciences and Engineering
In this paper, we investigate the dynamic behavior of a modified Leslie-Gower predator-prey model with the Allee effect on both prey and predator. It is shown that the model has at most two positive equilibria, where one is always a hyperbolic saddle and
Mengyun Xing, Mengxin He, Zhong Li
doaj   +1 more source

Alternate Pacing of Border-Collision Period-Doubling Bifurcations [PDF]

arXiv, 2006
Unlike classical bifurcations, border-collision bifurcations occur when, for example, a fixed point of a continuous, piecewise $\mathcal{C}^{1}$ map crosses a boundary in state space. Although classical bifurcations have been much studied, border-collision bifurcations are not well understood. This paper considers a particular class of border-collision
arxiv  

Dynamics of a delay Schistosomiasis model in snail infections

Mathematical Biosciences and Engineering, 2011
In this paper we modify and study a system of delay differential equations model proposed by Nåsell and Hirsch (1973) for the transmission dynamics of schistosomiasis. The modified stochastic version of MacDonald’s model takes into account the time delay
Chunhua Shan, Hongjun Gao, Huaiping Zhu
doaj   +1 more source

Classification of solitary wave bifurcations in generalized nonlinear Schrödinger equations [PDF]

arXiv, 2012
Bifurcations of solitary waves are classified for the generalized nonlinear Schr\"odinger equations with arbitrary nonlinearities and external potentials in arbitrary spatial dimensions. Analytical conditions are derived for three major types of solitary wave bifurcations, namely saddle-node bifurcations, pitchfork bifurcations and transcritical ...
arxiv  

Unfolding a Codimension-Two, Discontinuous, Andronov-Hopf Bifurcation [PDF]

, 2008
We present an unfolding of the codimension-two scenario of the simultaneous occurrence of a discontinuous bifurcation and an Andronov-Hopf bifurcation in a piecewise-smooth, continuous system of autonomous ordinary differential equations in the plane. We find the Hopf cycle undergoes a grazing bifurcation that may be very shortly followed by a saddle ...
arxiv   +1 more source

“Assessing Predictability of Environmental Time Series With Statistical and Machine Learning Models”

Environmetrics, Volume 36, Issue 2, March 2025.
ABSTRACT The relative merits of machine learning and statistical methods are discussed recently by Bonas et al. 2004, who raise important open questions for the statistical community regarding the value‐added benefits of data science and the future role of environmental statistics. Specifically, they identify three major knowledge gaps where statistics
Nathaniel K. Newlands, Vyacheslav Lyubchich   +1 more
wiley   +1 more source

DYNAMICAL BEHAVIOR IN THE COMPETITIVE MODEL INCORPORATING THE FEAR EFFECT OF PREY DUE TO ALLELOPATHY WITH SHARED BIOTIC RESOURCES

Barekeng
This research develops a mathematical model of a natural phenomenon, namely sea snails that can release toxins (allelopathy) so that non-toxic sea snails become afraid. In addition, toxic and non-toxic sea snails share biotic resources.
Mifta Kharisma Dewi, Dian Savitri, Abadi Abadi   +2 more
doaj   +1 more source