Results 71 to 80 of about 633,095 (156)

New Insights into a Caputo Fractional-Order Lorenz-like System

Fractal and Fractional
The present study is concerned with heteroclinic trajectories of a Caputo fractional-order Lorenz-type model ...
Guiyao Ke, Jun Pan, Haijun Wang
doaj   +1 more source

The Existence of Moving Spike Patterns in an Attractive Chemotaxis Model

Mathematical Methods in the Applied Sciences, Volume 48, Issue 14, Page 13505-13516, 30 September 2025.
ABSTRACT We prove rigorously the existence of moving spike patterns in an attractive chemotaxis model with small diffusion coefficient for the chemical. In the zero diffusion limit, ϵ→0$$ \epsilon \to 0 $$, we prove that the non‐monotone traveling wave solutions of the system with ϵ>0$$ \epsilon >0 $$ converge to those of the system with ϵ=0$$ \epsilon
Tong Li, Casey Stone
wiley   +1 more source

Closed geodesics and the first Betti number

Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.
Abstract We prove that, on any closed manifold of dimension at least two with non‐zero first Betti number, a C∞$C^\infty$ generic Riemannian metric has infinitely many closed geodesics, and indeed closed geodesics of arbitrarily large length. We derive this existence result combining a theorem of Mañé together with the following new theorem of ...
Gonzalo Contreras, Marco Mazzucchelli
wiley   +1 more source

Regime Transitions and Heteroclinic Connections in a Barotropic Atmosphere

Journal of the Atmospheric Sciences, 2003
By interpreting transitions between atmospheric flow regimes as a deterministic rather than a stochastic phenomenon, new insight is gained into the phase-space characteristics of these transitions. The identification of regimes with steady states should be extended with the association of transitions with nearby heteroclinic connections between steady ...
openaire   +1 more source

Nonlocal Cooperative Behavior, Psychological Effects, and Collective Decision‐Making: An Exemplification With Predator–Prey Models

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12011-12037, August 2025.
ABSTRACT In bio‐social models, cooperative behavior has evolved as an adaptive strategy, playing multi‐functional roles. One of such roles in populations is to increase the success of the survival and reproduction of individuals and their families or social groups.
Sangeeta Saha, Swadesh Pal, Roderick Melnik   +2 more
wiley   +1 more source

Heterogeneously Structured Compartmental Models of Epidemiological Systems: From Individual‐Level Processes to Population‐Scale Dynamics

Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.
ABSTRACT We develop a general modeling framework for compartmental epidemiological systems structured by continuous variables which are linked to the levels of expression of compartment‐specific traits. We start by formulating an individual‐based model that describes the dynamics of single individuals in terms of stochastic processes. Then, we formally
Emanuele Bernardi, Tommaso Lorenzi, Mattia Sensi, Andrea Tosin   +3 more
wiley   +1 more source

Travelling waves for an epidemic model with non-smooth treatment rates [PDF]

, 2010
This is the post-print version of the final published paper that is available from the link below. Copyright @ 2010 IOP Publishing Ltd and SISSA.We consider a susceptible–infected–removed (SIR) epidemic model with two types of nonlinear treatment rates:
Winter, M, Hussaini, N, N Hussaini, M Winter   +3 more
core   +1 more source

Persistence of Heteroclinic Cycles Connecting Repellers in Banach Spaces

Journal of Mathematics, 2022
This paper is concerned with persistence of heteroclinic cycles connecting repellers in Banach spaces. It is proved that if a map with a regular and nondegenerate heteroclinic cycle connecting repellers undergoes a small perturbation, then the perturbed map can still have a regular and nondegenerate heteroclinic cycle connecting repellers.
openaire   +2 more sources

Heteroclinic connections for multiple-well potentials: the anisotropic case [PDF]

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2008
We investigate the existence of solutions to systems of N differential equations representing connections between minima of potentials with several equal depths in ℝn. Using variational techniques and in particular a method introduced by Alikakos and Fusco we first prove such existence for N ≥ 2 and two minima.
openaire   +1 more source

Heteroclinic Connections for Fractional Allen-Cahn Equations with Degenerate Potentials

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
We investigate existence, uniqueness and asymptotic behavior of minimizers of a family of non-local energy functionals of the type $$ \frac{1}{4}\iint_{\mathbb{R}^{2n}\setminus (\mathbb{R}^n \setminus Ω)^2}|u(x)-u(y)|^2 K(x-y) \,dx dy + \int_ΩW(u(x)) \,dx.
De Pas, Francesco, Dipierro, Serena, Piccinini, Mirco, Valdinoci, Enrico   +3 more
openaire   +2 more sources