Results 181 to 190 of about 2,227 (204)
Some of the next articles are maybe not open access.
Flip bifurcation and Neimark–Sacker bifurcation in a discrete predator–prey model with harvesting
International Journal of Biomathematics, 2019In this paper, a difference-algebraic predator–prey model is proposed, and its complex dynamical behaviors are analyzed. The model is a discrete singular system, which is obtained by using Euler scheme to discretize a differential-algebraic predator–prey model with harvesting that we establish.
Wei Liu, Yaolin Jiang
openaire +1 more source
Neimark–Sacker Bifurcation of Discrete Fractional Chaotic Systems
International Journal of Bifurcation and ChaosFractional chaotic maps have been recently proposed to describe long-memory effects. However, their bifurcation analysis is complicated. This paper considers a linearized system and introduces necessary and sufficient conditions of Neimark–Sacker (N–S) bifurcation by complex analysis method.
Guo-Cheng Wu, Hu-Shuang Hou, René Lozi
openaire +1 more source
A numerical algorithm for computing Neimark-Sacker bifurcation parameters
ISCAS'99. Proceedings of the 1999 IEEE International Symposium on Circuits and Systems VLSI (Cat. No.99CH36349), 2003We propose an efficient method for computing parameter values of the Neimark-Sacker bifurcation in this paper. To handle the complex eigenvalue problem, we expand the characteristic equation into a sum of determinants of the involving matrices. We solve for the location of the fixed point, period, parameter, and arguments of the complex eigenvalues for
T. Ueta +3 more
openaire +1 more source
Controlling Chaos and Neimark–Sacker Bifurcation in a Host–Parasitoid Model
Asian Journal of Control, 2018AbstractIn this paper, a new density‐dependent host–parasitoid model is proposed. The modification is based on density‐dependent factor by introducing Hassell growth function in host population. Moreover, the permanence of solutions, existence and uniqueness of positive equilibrium, local asymptotic stability and global behavior of the positive ...
Qamar Din, Mushtaq Hussain
openaire +2 more sources
Neimark-Sacker bifurcation and control of a discrete epidemic model
2010 2nd International Asia Conference on Informatics in Control, Automation and Robotics (CAR 2010), 2010In this paper, a discrete epidemic model with nonlinear incidence rate obtained by the forward Euler method is investigated. The conditions of existence for Neimark-Sacker bifurcation are derived by using bifurcation theory. In order to eliminate the Neimark-Sacker bifurcation of the discrete epidemic model, a tracking controller is designed such that ...
null Na Yi +3 more
openaire +1 more source
Dynamical Analysis of Cournot Oligopoly Models: Neimark-Sacker Bifurcation and Related Mechanisms
2016This chapter describes some properties of the nonlinear dynamics emerging from two oligopoly models in discrete time. The target of this chapter is the investigation of some local and global bifurcations which are responsible for the changes in the qualitative behaviors of the trajectories of discrete dynamical systems. Two different kinds of oligopoly
Agliari, Anna, Pecora, Nicolo', Szuz, A.
openaire +2 more sources
Memristive Hénon map with hidden Neimark–Sacker bifurcations
Nonlinear Dynamics, 2022Kang Rong +4 more
openaire +1 more source
Supercritical Neimark‐Sacker bifurcation of a discrete‐time Nicholson‐Bailey model
Mathematical Methods in the Applied Sciences, 2018We study the local dynamics and supercritical Neimark‐Sacker bifurcation of a discrete‐time Nicholson‐Bailey host‐parasitoid model in the interior of . It is proved that if α>1, then the model has a unique positive equilibrium point , which is locally asymptotically focus, unstable focus and nonhyperbolic under certain parametric condition ...
openaire +2 more sources
Global stability and Neimark-Sacker bifurcation of a host-parasitoid model
International Journal of Systems Science, 2017Qamar Din
exaly