Results 51 to 60 of about 646 (172)

Heteroclinic points of multi-dimensional dynamical systems

open access: yesElectronic Journal of Differential Equations, 2003
The authors investigate dynamical behavior of multi-dimensional dynamical systems. These are the systems with a multi-dimensional independent ``time" variable.
David N. Cheban   +2 more
doaj  

Analysis of Dynamics in Multiphysics Modelling of Active Faults

open access: yesMathematics, 2016
Instabilities in Geomechanics appear on multiple scales involving multiple physical processes. They appear often as planar features of localised deformation (faults), which can be relatively stable creep or display rich dynamics, sometimes culminating in
Sotiris Alevizos   +3 more
doaj   +1 more source

Nonlinear dynamics in a fear‐driven predator–prey system: Bistability, bifurcations, hydra effect, and optimal harvesting

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2194-2223, 30 January 2025.
The impact of predator‐driven fear on ecosystems is significant and can encompass both trophic (direct) and nontrophic (indirect) effects. Previous studies have shown that nontrophic fear effects have an important role in predator–prey dynamics. This study investigates the nontrophic fear effect on prey caused by generalist predators and explores ...
Anuj Kumar Umrao   +2 more
wiley   +1 more source

Homoclinic points and intersections of Lagrangian submanifold

open access: yesDiscrete & Continuous Dynamical Systems - A, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Running Homoclinic and Periodic Points in Standard-Like Mappings [PDF]

open access: yesProgress of Theoretical Physics, 2001
This paper is devoted to the dynamical properties of standard-like mappings. The authors find the stability exchange of periodic points on the symmetry axes occurs in a sequence until the properties of certain homoclinic points of the stable and unstable manifolds of the main saddle point on the \(x\)-axis are exchanged.
Tanikawa, Kiyotaka, Yamaguchi, Yoshihiro
openaire   +1 more source

Population dynamics in a Leslie–Gower predator–prey model with predator harvesting at high densities

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 804-838, 15 January 2025.
In this paper, we propose a Leslie–Gower predator–prey model in which the predator can only be captured when its population size exceeds a critical value; the mean growth rate of the prey in the absence of the predator is subject to a semi‐saturation rate that affects its birth curve, and the interaction between the two species is defined by a Holling ...
Christian Cortés García
wiley   +1 more source

Dynamical Mechanism of Hyperpolarization-Activated Non-specific Cation Current Induced Resonance and Spike-Timing Precision in a Neuronal Model

open access: yesFrontiers in Cellular Neuroscience, 2018
Hyperpolarization-activated cyclic nucleotide-gated cation current (Ih) plays important roles in the achievement of many physiological/pathological functions in the nervous system by modulating the electrophysiological activities, such as the rebound ...
Zhiguo Zhao   +3 more
doaj   +1 more source

Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points [PDF]

open access: yesMathematics and Computers in Simulation, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Large‐Signal Synchronisation Analysis of Phase‐Locked Loop‐Based Reactive Current Injection Under Weak Grids

open access: yesIET 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

Homoclinic Points in the Composition of Two Reflections [PDF]

open access: yesDifferential Equations and Dynamical Systems, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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