Results 61 to 70 of about 5,334 (147)

Exploring the Influence of Oblateness on Asymptotic Orbits in the Hill Three-Body Problem

AppliedMath
We examine the modified Hill three-body problem by incorporating the oblateness of the primary body and focus on its asymptotic orbits. Specifically, we analyze and characterize homoclinic and heteroclinic connections associated with the collinear ...
Vassilis S. Kalantonis
doaj   +1 more source

Stability of Standing Periodic Waves in the Massive Thirring Model

Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.
ABSTRACT We analyze the spectral stability of the standing periodic waves in the massive Thirring model in laboratory coordinates. Since solutions of the linearized MTM equation are related to the squared eigenfunctions of the linear Lax system, the spectral stability of the standing periodic waves can be studied by using their Lax spectrum.
Shikun Cui, Dmitry E. Pelinovsky
wiley   +1 more source

Simple heteroclinic cycles in R^4

, 2015
In generic dynamical systems heteroclinic cycles are invariant sets of codimension at least one, but they can be structurally stable in systems which are equivariant under the action of a symmetry group, due to the existence of flow-invariant subspaces ...
Chossat, Pascal, Podvigina, Olga
core   +3 more sources

Complex Dynamics and Chaos Control of Discrete Prey–Predator Model With Caputo Fractional Derivative

Complexity, Volume 2025, Issue 1, 2025.
This work examines a discrete prey–predator model using the fractional derivative. The conditions for the existence and stability of the fixed points in the model are identified. The analysis is centered on exploring various bifurcations at the positive fixed point to understand their ecological implications.
Rowshon Ara, Sohel Rana S. M., Jesus Manuel Munoz-Pacheco   +2 more
wiley   +1 more source

Stability and bifurcations of heteroclinic cycles of type Z

, 2012
Dynamical systems that are invariant under the action of a non-trivial symmetry group can possess structurally stable heteroclinic cycles. In this paper we study stability properties of a class of structurally stable heteroclinic cycles in R^n which we ...
Podvigina, Olga
core   +1 more source

On the Hub Number of Ring Graphs and Their Behavior Under Graph Operations

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This study examines the hub number of ring graphs and investigates their behavior under operations such as union, intersection, and join. Different findings for this parameter are found for a variety of types of ring graphs, such as commutative ring graphs, path ring graphs, complete ring graphs, cycle ring graphs, and star ring graphs, for which the ...
Mohammed Alsharafi, Haifa Ahmed, Saad Tobaili, Ayesha Ikram   +3 more
wiley   +1 more source

Creation of hidden $ n $-scroll Lorenz-like attractors

Electronic Research Archive
Compared with the recently reported hidden two-scroll Lorenz-like attractors in symmetric quadratic and sub-quadratic Lorenz-like dynamical systems, little seems to be concerned with the generation of hidden $ n $-scroll ($ n\in\mathbb{N} $) attractors ...
Jun Pan, Haijun Wang, Feiyu Hu
doaj   +1 more source

Fat handles and phase portraits of Non Singular Morse-Smale flows on S^3 with unknotted saddle orbits [PDF]

, 2014
In this paper we build Non-singular Morse-Smale flows on S^3 with unknotted and unlinked saddle orbits by identifying fat round handles along their boundaries. This way of building the flows enables to get their phase portraits.
Campos, B., Vindel, P.
core   +2 more sources

Intersections of Lagrangian submanifolds and the Mel'nikov 1-form

, 2006
We make explicit the geometric content of Mel'nikov's method for detecting heteroclinic points between transversally hyperbolic periodic orbits.
Abraham, Arnol’d, Chierchia, Colin de Verdière, Delshams, Delshams, Eliasson, Fenichel, Holmes, Lochak, Mel’nikov, Nicolas Roy, Weinstein, Wiggins, Zung   +14 more
core   +1 more source

Stability of fronts in the diffusive Rosenzweig–MacArthur model

Studies in Applied Mathematics, Volume 153, Issue 4, November 2024.
Abstract We consider a diffusive Rosenzweig–MacArthur predator–prey model in the situation when the prey diffuses at a rate much smaller than that of the predator. In a certain parameter regime, the existence of fronts in the system is known: the underlying dynamical system in a singular limit is reduced to a scalar Fisher–KPP (Kolmogorov–Petrovski ...
Anna Ghazaryan, Stéphane Lafortune, Yuri Latushkin, Vahagn Manukian   +3 more
wiley   +1 more source