Results 61 to 70 of about 1,883 (165)

Generalized models as a universal approach to the analysis of nonlinear dynamical systems [PDF]

, 2006
We present a universal approach to the investigation of the dynamics in generalized models. In these models the processes that are taken into account are not restricted to specific functional forms.
Feudel, Ulrike, Gross, Thilo
core   +1 more source

A normal form for excitable media

, 2006
We present a normal form for travelling waves in one-dimensional excitable media in form of a differential delay equation. The normal form is built around the well-known saddle-node bifurcation generically present in excitable media.
Georg A. Gottwald, Keener J., Lorenz Kramer, Winfree A. T., Zykov V. S.   +4 more
core   +2 more sources

Modelling the dynamics of Trypanosoma rangeli and triatomine bug with logistic growth of vector and systemic transmission

Mathematical Biosciences and Engineering, 2022
In this paper, an insect-parasite-host model with logistic growth of triatomine bugs is formulated to study the transmission between hosts and vectors of the Chagas disease by using dynamical system approach.
Lin Chen, Xiaotian Wu , Yancong Xu , Libin Rong   +3 more
doaj   +1 more source

Complex dynamics in double-diffusive convection

, 2004
The dynamics of a small Prandtl number binary mixture in a laterally heated cavity is studied numerically. By combining temporal integration, steady state solving and linear stability analysis of the full PDE equations, we have been able to locate and ...
Batiste, Oriol, Meca, Esteban, Mercader, Isabel, Ramírez-Piscina, Laureano   +3 more
core   +2 more sources

Global Analysis of a Liénard System with Quadratic Damping

Discrete Dynamics in Nature and Society, 2018
In this paper, the global analysis of a Liénard equation with quadratic damping is studied. There are 22 different global phase portraits in the Poincaré disc.
Feng Guo
doaj   +1 more source

Explicit transversality conditions and local bifurcation diagrams for Bogdanov–Takens bifurcation on center manifolds

Physica D: Nonlinear Phenomena, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang Li, Hiroshi Kokubu, Kazuyuki Aihara
openaire   +3 more sources

Bifurcation and pattern dynamics in the nutrient-plankton network

Mathematical Biosciences and Engineering, 2023
This paper used a Holling-IV nutrient-plankton model with a network to describe algae's spatial and temporal distribution and variation in a specific sea area.
Wenjie Yang , Qianqian Zheng, Jianwei Shen, Linan Guan   +3 more
doaj   +1 more source

Chapman-Enskog method and synchronization of globally coupled oscillators

, 2000
The Chapman-Enskog method of kinetic theory is applied to two problems of synchronization of globally coupled phase oscillators. First, a modified Kuramoto model is obtained in the limit of small inertia from a more general model which includes ...
A. B. Poore, B. Ermentrout, C. Cercignani, G. Dangelmayr, H. Hong, H. Sakaguchi, H. Tanaka, H. Tanaka, J. A. Acebrón, J. A. Acebrón, J. Kevorkian, K. Park, K. Wiesenfeld, L. L. Bonilla, L. L. Bonilla, L. L. Bonilla, M. C. Cross, S. Chapman, T. Schneider, Y. Kuramoto   +19 more
core   +1 more source

Bifurcation in a Leslie–Gower system with fear in predators and strong Allee effect in prey

Nonlinear Analysis
In this paper, we consider a modified Leslie–Gower predator–prey model with Allee effect on prey and fear effect on predators. Results show complex dynamical behaviors in the model with these factors.
Ranchao Wu, Wenkai Xiong
doaj   +1 more source

Bogdanov-Takens and Triple Zero Bifurcations of a Delayed Modified Leslie-Gower Predator Prey System

Abstract and Applied Analysis, 2013
A delayed modified Leslie-Gower predator prey system with nonlinear harvesting is considered. The existence conditions that an equilibrium is Bogdanov-Takens (BT) or triple zero singularity of the system are given. By using the center manifold reduction,
Xia Liu, Jinling Wang
doaj   +1 more source