Results 71 to 80 of about 5,743 (240)

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

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

Heteroclinic Orbits in Systems with Slowly Varying Coefficients

Journal of Differential Equations, 1993
The authors consider the system (*) \(\dot\xi=f(\xi,\eta,\varepsilon)\), \(\dot \eta=\varepsilon g(\xi,\eta,\varepsilon)\) with \(\xi\in\mathbb{R}^ n\), \(\eta\in\mathbb{R}^ m\), \(f\) and \(g\) smooth and bounded. They assume that for each \(\eta\), \(\dot\xi=f(\xi,\eta,0)\) has two hyperbolic equilibria \(u^ -(\eta)\) and \(u^ +(\eta)\) of the same ...
Battelli, F., Lazzari, C.
openaire   +2 more sources

Asymptotic dynamics of the exceptional Bianchi cosmologies [PDF]

, 1997
In this paper we give, for the first time, a qualitative description of the asymptotic dynamics of a class of non-tilted spatially homogeneous (SH) cosmologies, the so-called exceptional Bianchi cosmologies, which are of Bianchi type VI$_{-1/9}$.
Hewitt, C. G., Horwood, J. T., Wainwright, J.   +2 more
core   +4 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

Dynamics of Bianchi type I elastic spacetimes

, 2007
We study the global dynamical behavior of spatially homogeneous solutions of the Einstein equations in Bianchi type I symmetry, where we use non-tilted elastic matter as an anisotropic matter model that naturally generalizes perfect fluids.
Andersson L, Beig R, Fjällborg M, Heinzle J M, Heinzle J M Uggla C Röhr N, J Mark Heinzle, Karlovini M, Marsden J E, Simone Calogero, Tahvildar-Zadeh A S, Wainwright J, Wernig-Pichler M M   +11 more
core   +2 more sources

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

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

Fisher-KPP dynamics in diffusive Rosenzweig-MacArthur and Holling-Tanner models

, 2019
We prove the existence of traveling fronts in diffusive Rosenzweig-MacArthur and Holling-Tanner population models and investigate their relation with fronts in a scalar Fisher-KPP equation. More precisely, we prove the existence of fronts in a Rosenzweig-
Cai, Hong, Ghazaryan, Anna, Manukian, Vahagn   +2 more
core   +1 more source

KPP fronts in shear flows with cutoff reaction rates

Studies in Applied Mathematics, Volume 153, Issue 3, October 2024.
Abstract We consider the effect of a shear flow which has, without loss of generality, a zero mean flow rate, on a Kolmogorov–Petrovskii–Piscounov (KPP)‐type model in the presence of a discontinuous cutoff at concentration u=uc$u = u_c$. In the long‐time limit, a permanent‐form traveling wave solution is established which, for fixed uc>0$u_c>0$, is ...
D. J. Needham, A. Tzella
wiley   +1 more source