Results 61 to 70 of about 328 (171)

Nonlinear Bifurcation and Numerical Analysis of Equilibria in Heated Curved Endoscopic Peristaltic Flow

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Bifurcation analysis constitutes a powerful tool for understanding transport flow phenomena arising from peristaltic motion in a curved heated endoscope. This approach is useful for assessing a peristaltic endoscope model in a curved tube. Bifurcation and dynamical analyses reveal heat transfer and entropy behavior at critical points.
Thoraya N. Alharthi, Qingkai Zhao
wiley   +1 more source

Pattern Formation and Nonlinear Waves Close to a 1:1 Resonant Turing and Turing–Hopf Instability

Studies in Applied Mathematics, Volume 155, Issue 5, November 2025.
ABSTRACT In this paper, we analyze the dynamics of a pattern‐forming system close to simultaneous Turing and Turing–Hopf instabilities, which have a 1:1 spatial resonance, that is, they have the same critical wave number. For this, we consider a system of coupled Swift–Hohenberg equations with dispersive terms and general, smooth nonlinearities.
Bastian Hilder, Christian Kuehn
wiley   +1 more source

Dynamics of a New Four-Thirds-Degree Sub-Quadratic Lorenz-like System

Axioms
Aiming to explore the subtle connection between the number of nonlinear terms in Lorenz-like systems and hidden attractors, this paper introduces a new simple sub-quadratic four-thirds-degree Lorenz-like system, where x˙=a(y−x), y˙=cx−x3z, z˙=−bz+x3y ...
Guiyao Ke, Jun Pan, Feiyu Hu, Haijun Wang   +3 more
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

Construction of entire solutions for semilinear parabolic equations

Electronic Journal of Differential Equations, 2008
Entire solutions of parabolic equations (those which are defined for all time) are typically rather rare. For example, the heat equation has exactly one entire solution - the trivial solution.
Michael Robinson
doaj  

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

Global portraits of inflation in nonsingular variables

European Physical Journal C: Particles and Fields
In the phase space perspective, scalar field slow roll inflation is described by a heteroclinic orbit from a saddle type fixed point to a final attractive point.
Laur Järv, Dmitri Kraiko
doaj   +1 more source

Existence of Heteroclinic Orbits in Fractional-Order and Integer-Order Coupled Lorenz Systems

Fractal and Fractional
Applying two Lyapunov functions and the concepts of α-/ω-limit sets, this paper reexamines fractional-order and integer-order coupled Lorenz systems and simultaneously proves the existence of twelve heteroclinic orbits, i.e., four ones to S0 and S5,6,7,8,
Guiyao Ke, Jun Pan, Feiyu Hu, Haijun Wang   +3 more
doaj   +1 more source

A Novel Lorenz-like Attractor and Stability and Equilibrium Analysis

Axioms
This paper introduces a novel 3D periodically forced extended Lorenz-like system and illustrates a single thick two-scroll attractor with potential unboundedness whose time series of the second state variable present some certain random characteristics ...
Jun Pan, Haijun Wang, Guiyao Ke, Feiyu Hu   +3 more
doaj   +1 more source

Heteroclinic orbits for discrete Hamiltonian systems

, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiao, Huafeng, Long, Yuhua, Shi, Haiping
openaire   +2 more sources