Results 61 to 70 of about 10,336 (188)

On the Price Dynamics of a Two-Dimensional Financial Market Model with Entry Levels

open access: yesComplexity, 2020
This paper aims to extend the model developed by Tramontana et al. By adding trend followers who pay attention to the most recent observed price trend, we formulate a financial market model driven by a new two-dimensional discontinuous piecewise linear ...
En-Guo Gu
doaj   +1 more source

Full-time dynamics of modulational instability in spinor Bose-Einstein condensates

open access: yes, 2007
We describe the full-time dynamics of modulational instability in F=1 spinor Bose-Einstein condensates for the case of the integrable three-component model associated with the matrix nonlinear Schroedinger equation. We obtain an exact homoclinic solution
A. R. Its   +12 more
core   +1 more source

Transversal homoclinic points of the Hénon map [PDF]

open access: yesAnnali di Matematica Pura ed Applicata, 2005
ISSN:1618 ...
Kirchgraber, Urs, Stoffer, Daniel
openaire   +4 more sources

On stochastic sea of the standard map

open access: yes, 2010
Consider a generic one-parameter unfolding of a homoclinic tangency of an area preserving surface diffeomorphism. We show that for many parameters (residual subset in an open set approaching the critical value) the corresponding diffeomorphism has a ...
A. Gorodetski   +53 more
core   +1 more source

Dynamics of Computational Solitons: Modulation Instability, Bifurcation, Chaotic Nature With Different Chaos‐Detecting Tools, and Influence of Multiplicative Noise Intensity

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This study presents the dynamic analysis of stochastic fractional unstable nonlinear Schrödinger equation (SFuNLSE), focusing on the analysis of bifurcation, chaotic nature, return map, recurrence plots, strange attractor, basin attractor, power spectrum, chaotic nature and also finds the exact optical soliton solution with multiplicative noise ...
Md. Mamunur Roshid   +3 more
wiley   +1 more source

On a Family of Hamilton–Poisson Jerk Systems

open access: yesMathematics
In this paper, we construct a family of Hamilton–Poisson jerk systems. We show that such a system has infinitely many Hamilton–Poisson realizations. In addition, we discuss the stability and we prove the existence of periodic orbits around nonlinearly ...
Cristian Lăzureanu, Jinyoung Cho
doaj   +1 more source

The Effects of Fluctuating Carrying Capacity on the Dynamics of a Holling‐Type III Predator–Prey Model

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This study investigates the complex dynamics of a predator–prey system governed by the classical Lotka–Volterra model incorporating a Holling‐type III. To capture environmental variability, the prey’s carrying capacity is modeled as a periodic function, introducing a time‐dependent forcing into the system.
Ali Sarrah   +4 more
wiley   +1 more source

Frequency spanning homoclinic families

open access: yes, 2003
A family of maps or flows depending on a parameter $\nu$ which varies in an interval, spans a certain property if along the interval this property depends continuously on the parameter and achieves some asymptotic values along it. We consider families of
Arnold   +21 more
core   +1 more source

Bifurcation Analysis of Nonlinear Oscillations in the Electrical Activity of Pancreatic β‐Cells

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 25, Issue 4, December 2025.
ABSTRACT Cell biological systems are characterized by complex relationships and nonlinear processes. The modeling of these processes improves the understanding, and represents a significant enrichment of the experimental investigation. An example of such a system is the regulation of blood glucose concentration by pancreatic β$\beta$‐cells through the ...
Paula Clasen   +2 more
wiley   +1 more source

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  

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