Results 41 to 50 of about 646 (172)

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

A predation model considering a generalist predator and the Rosenzweig functional response

Mathematical Modelling and Analysis
This work deals with the dynamics of an ordinary differential equation system describing a Leslie-Gower predator-prey model with a generalist predator and a non-differentiable functional response proposed by M. L. Rosenzweig, given by h(x) = qxα with 0 <
Viviana Rivera-Estay, Alejandro Rojas-Palma, Eduardo González-Olivares   +2 more
doaj   +1 more source

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

Complexity, 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

Homoclinic points in conservative systems

Inventiones Mathematicae, 1972
We consider a compact manifold M" with a volume or a symplectic structure. We remind that a volume structure is given by a nowherezero n-form o9 on M" and that a symplectic structure is given by a closed 2-form o9 on M" which has the property that o9 ^ ... ^ o9 (n/2 times) defines a volume structure. If a volume, resp.
openaire   +1 more source

Protected Chaos in a Topological Lattice

Advanced Science, Volume 12, Issue 28, July 24, 2025.
Topological and chaotic dynamics are often considered incompatible, with one expected to dominate or disrupt the other. This work reveals that topological localization can persist even under strong chaotic dynamics and, counter‐intuitively, protect chaotic behavior.
Haydar Sahin, Hakan Akgün, Zhuo Bin Siu, S. M. Rafi‐Ul‐Islam, Jian Feng Kong, Mansoor B. A. Jalil, Ching Hua Lee   +6 more
wiley   +1 more source

Transversal homoclinic points of the Hénon map [PDF]

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

Numerical Simulation of Mixing Enhancement in a Single Screw Extruder by Different Internal Baffles

Macromolecular Theory and Simulations, Volume 34, Issue 4, July 2025.
Three rows of plate baffles and plow‐shaped baffles are employed to introduce chaos into the flow channel of a single screw extruder. Mixing is numerically characterized in terms of the evolution of tracer particles, Poincaré sections, shear rates, mixing index, distribution probability function of mixing index, and their integral functions.
Huiwen Yu, Yuanyao Wang, Lingcao Tan, Jiarong Huang, Baiping Xu   +4 more
wiley   +1 more source

Existence and Orbital Stability of Standing‐Wave Solutions of the Nonlinear Logarithmic Schrödinger Equation On a Tadpole Graph

Studies in Applied Mathematics, Volume 155, Issue 1, July 2025.
ABSTRACT This work aims to study some dynamical aspects of the nonlinear logarithmic Schrödinger equation (NLS‐log) on a tadpole graph, namely, a graph consisting of a circle with a half‐line attached at a single vertex. By considering Neumann–Kirchhoff boundary conditions at the junction, we show the existence and the orbital stability of standing ...
Jaime Angulo Pava, Andrés Gerardo Pérez Yépez   +1 more
wiley   +1 more source

On a Family of Hamilton–Poisson Jerk Systems

Mathematics
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

Diverse general solitary wave solutions and conserved currents of a generalized geophysical Korteweg–de Vries model with nonlinear power law in ocean science

Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 5039-5063, 15 March 2025.
This article presents an analytical investigation performed on a generalized geophysical Korteweg–de Vries model with nonlinear power law in ocean science. To start with, achieving diverse solitary wave solutions to the generalized power‐law model involves using wave transformation, which reduces the model to a nonlinear ordinary differential equation.
Oke Davies Adeyemo
wiley   +1 more source