Results 71 to 80 of about 710,736 (219)

Bifurcations and chaos in a three-dimensional generalized Hénon map

Advances in Difference Equations, 2018
This article presents the bifurcation and chaos phenomenon of the three-dimensional generalized Hénon map. We establish the existence and stability conditions for the fixed points of the system.
Jingjing Zheng, Ziwei Wang, You Li, Jinliang Wang   +3 more
doaj   +1 more source

Abelian integrals and bifurcation theory

Journal of Differential Equations, 1985
AbstractConditions are given for uniqueness of limit cycles for autonomous equations in the plane. The results are applicable to codimension two bifurcations near equilibrium points for vector fields.
Shui-Nee Chow, Jack K. Hale, Jack Carr
openaire   +2 more sources

Variational principle of action and group theory for bifurcation of figure-eight solutions [PDF]

arXiv, 2020
Figure-eight solutions are solutions to planar equal mass three-body problem under homogeneous or inhomogeneous potentials. They are known to be invariant under the transformation group $D_6$: the dihedral group of regular hexagons. Numerical investigation shows that each figure-eight solution has some bifurcation points.
arxiv  

Dynamic Design of a Quad-Stable Piezoelectric Energy Harvester via Bifurcation Theory. [PDF]

Sensors (Basel), 2022
Zhang Q, Yan Y, Han J, Hao S, Wang W.
europepmc   +1 more source

Global bifurcation of homoclinic solutions of hamiltonian systems [PDF]

arXiv, 2002
We provide global bifurcation results for a class of nonlinear hamiltonian ...
arxiv  

Hopf Bifurcation Analysis for a Four-Dimensional Recurrent Neural Network with Two Delays

Journal of Applied Mathematics, 2013
A four-dimensional recurrent neural network with two delays is considered. The main result is given in terms of local stability and Hopf bifurcation. Sufficient conditions for local stability of the zero equilibrium and existence of the Hopf bifurcation ...
Zizhen Zhang, Huizhong Yang
doaj   +1 more source

Analysis and anti-control of period-doubling bifurcation for the one-dimensional discrete system with three parameters and a square term

AIMS Mathematics
In certain nonlinear systems, period-doubling bifurcations are a common way to cause chaos. Additionally, bifurcation advance or delay can be realized using anti-control of period-doubling bifurcation.
Limei Liu, Xitong Zhong
doaj   +1 more source

Research on Stability and Bifurcation for Two-Dimensional Two-Parameter Squared Discrete Dynamical Systems

Mathematics
This study investigates a class of two-dimensional, two-parameter squared discrete dynamical systems. It determines the conditions for local stability at the fixed points for these proposed systems.
Limei Liu, Xitong Zhong
doaj   +1 more source

Neimark-Sacker Bifurcation in a Discrete-Time Financial System

Discrete Dynamics in Nature and Society, 2010
A discrete-time financial system is proposed by using forward Euler scheme. Based on explicit Neimark-Sacker bifurcation (also called Hopf bifurcation for map) criterion, normal form method and center manifold theory, the system's existence, stability ...
Baogui Xin, Tong Chen, Junhai Ma
doaj   +1 more source

Hopf Bifurcation Control in a Delayed Predator-Prey System with Prey Infection and Modified Leslie-Gower Scheme

Abstract and Applied Analysis, 2013
Hopf bifurcation of a delayed predator-prey system with prey infection and the modified Leslie-Gower scheme is investigated. The conditions for the stability and existence of Hopf bifurcation of the system are obtained.
Zizhen Zhang, Huizhong Yang
doaj   +1 more source