Results 91 to 100 of about 9,394 (211)

Asset price dynamics in a financial market with fundamentalists and chartists

Discrete Dynamics in Nature and Society, 2001
In this paper we consider a model of the dynamics of speculative markets involving the interaction of fundamentalists and chartists. The dynamics of the model are driven by a two-dimensional map that in the space of the parameters displays regions of ...
Carl Chairella, Roberto Dieci, Laura Gardini   +2 more
doaj   +1 more source

Homoclinic orbits and chaos in a pair of parametrically-driven coupled nonlinear resonators

, 2010
We study the dynamics of a pair of parametrically-driven coupled nonlinear mechanical resonators of the kind that is typically encountered in applications involving microelectromechanical and nanoelectromechanical systems (MEMS & NEMS). We take advantage
A. Cleland, Eyal Kenig, R. Lifshitz, Ron Lifshitz, S. Wiggins, S. Zaitsev, V. K. Melnikov, Yuriy A. Tsarin   +7 more
core   +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

Invariant manifolds of homoclinic orbits: super-homoclinics and multi-pulse homoclinic loops

, 2020
Consider a Hamiltonian flow on R4 with a hyperbolic equilibrium O and a transverse homoclinic orbit Γ. In this thesis, we study the dynamics near Γ in its energy level when it leaves and enters O along strong unstable and strong stable directions, respectively. In particular, we provide necessary and sufficient conditions for the existence of the local
openaire   +3 more sources

Nonlinear dynamics in a fear‐driven predator–prey system: Bistability, bifurcations, hydra effect, and optimal harvesting

Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2194-2223, 30 January 2025.
The impact of predator‐driven fear on ecosystems is significant and can encompass both trophic (direct) and nontrophic (indirect) effects. Previous studies have shown that nontrophic fear effects have an important role in predator–prey dynamics. This study investigates the nontrophic fear effect on prey caused by generalist predators and explores ...
Anuj Kumar Umrao, Sonu Lamba, Prashant K. Srivastava   +2 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

Homoclinic orbits and Lie rotated vector fields

International Journal of Mathematics and Mathematical Sciences, 2000
Based on the definition of Lie rotated vector fields in the plane, this paper gives the property of homoclinic orbit as parameter is changed and the singular points are fixed on Lie rotated vector fields.
Jie Wang, Chen Chen
doaj   +1 more source

Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle of order 2

上海师范大学学报. 自然科学版, 2018
Determining the number of limit cycles of a planar differential system is related to the second part of Hilbert's 16th problem. In this paper, a near-Hamiltonian system is studied, where the unperturbed system has a double homoclinic loop with second ...
Tian Huanhuan
doaj   +1 more source

Kneadings, Symbolic Dynamics and Painting Lorenz Chaos. A Tutorial

, 2012
A new computational technique based on the symbolic description utilizing kneading invariants is proposed and verified for explorations of dynamical and parametric chaos in a few exemplary systems with the Lorenz attractor.
Abad A., Afraimovich V., Afraimovich V., ANDREY SHILNIKOV, Barrio R., Barrio R., Bykov V. V., Glendinning P., Gonchenko S. V., Hubner U., LEONID SHILNIKOV, Malkin M., ROBERTO BARRIO, Roshchin N., Rychlic M., Shilnikov A., Shilnikov L., Shilnikov L., Shilnikov L., Shilnikov L. P.   +19 more
core   +1 more source

Large‐Signal Synchronisation Analysis of Phase‐Locked Loop‐Based Reactive Current Injection Under Weak Grids

IET Generation, Transmission &Distribution, Volume 19, Issue 1, January/December 2025.
1. The reactive current injection system has infinite saddle points, and for every saddle point, there are two special lines (the blue lines in Figure 2). When the initial states are situated on the special lines, the final states of the reactive current injection will converge to the saddle points. 2.
Shuaishuai Lv, Kunpeng Shen, Zhiyong Dai, Guangqi Li, Yongheng Yang, Guoqing Wang, Yue Wang, Jinlin Xiong   +7 more
wiley   +1 more source