Results 91 to 100 of about 12,431 (232)

Numerical continuation of canard orbits in slow-fast dynamical systems

, 2009
A trajectory of a system with two clearly separated time scales generally consists of fast segments (or jumps) followed by slow segments where the trajectory follows an attracting part of a slow manifold. The switch back to fast dynamics typically occurs
Desroches, MF, Osinga, HM, Krauskopf, B
core   +1 more source

Control of dynamic Hopf bifurcations [PDF]

Nonlinearity, 1999
The slow passage through a Hopf bifurcation leads to the delayed appearance of large amplitude oscillations. We construct a smooth scalar feedback control which suppresses the delay and causes the system to follow a stable equilibrium branch. This feature can be used to detect in time the loss of stability of an ageing device.
openaire   +3 more sources

Equivariant Hopf Bifurcation of a Delayed Reaction–Diffusion Predator-Prey Model with Stage Structures on a Circular Domain

Axioms
This paper mainly studies the equivariant Hopf bifurcation of a delayed reaction–diffusion predator–prey model with stage structures on a two-dimensional circular domain. Firstly, we calculate the existence of steady-state solutions, and then analyze the
Ruitong Gao, Xiaofeng Xu, Ming Liu
doaj   +1 more source

Bifurcation of a Microelectromechanical Nonlinear Coupling System with Delay Feedback

Journal of Applied Mathematics, 2014
The dynamics of a kind of electromechanical coupling deformable micromirror device torsion micromirror with delay are investigated. Based on the distribution of eigenvalues, we prove that a sequence of Hopf bifurcation occurs at the equilibrium as the ...
Yanqiu Li, Wei Duan, Shujian Ma, Pengfei Li   +3 more
doaj   +1 more source

Existence of Bifurcation in Macroeconomic Dynamics: Grandmont was Right [PDF]

Grandmont (1985) found that the parameter space of the most classical dynamic general-equilibrium macroeconomic models are stratified into an infinite number of subsets supporting an infinite number of different kinds of dynamics, from monotonic ...
Yijun He, William Barnett
core  

Hopf bifurcations for a delayed discrete single population patch model in advective environments

European Journal of Applied Mathematics
In this paper, we consider a delayed discrete single population patch model in advective environments. The individuals are subject to both random and directed movements, and there is a net loss of individuals at the downstream end due to the flow into a ...
Weiwei Liu, Zuolin Shen, Shanshan Chen
doaj   +1 more source

A delayed computer virus model with nonlinear incidence rate

Systems Science & Control Engineering, 2019
An Susceptible-Vaccinated-Exposed-Infectious-Recovered computer virus model with nonlinear incidence rate and two delays is proposed and its Hopf bifurcation is investigated.
Yugui Chu, Wanjun Xia, Zecheng Wang
doaj   +1 more source

Analysis of pattern dynamics for a nonlinear model of the human cortex via bifurcation theories

, 2014
This thesis examines the bifurcations, i.e., the emergent behaviours, for the Waikato cortical model under the influence of the gap-junction inhibitory diffusion D₂ (identified as the Turing bifurcation parameter) and the time-to-peak for hyperpolarising
Wang, Kaier
core  

Singular Hopf Bifurcation [PDF]

, 2012
This dissertation concerns singular Hopf bifurcation in slow-fast vector fields with one fast and two slow variables. Singular Hopf bifurcation occurs generically in this setting.
Meerkamp, Philipp
core  

Periodic orbits for an autonomous version of the Duffing–Holmes oscillator

Nonlinear Analysis
In the autonomous Duffing–Holmes oscillator, the existence of periodic orbits was detected numerically. Using the Hopf bifurcation theory, we prove analytically that such periodic orbits exist.
Guangfeng Dong, Jaume Llibre
doaj   +1 more source