Results 11 to 20 of about 30,655 (149)
Physica D: Nonlinear Phenomena, 2013 Three-dimensional symmetric piecewise linear differential systems near the conditions corresponding to the fold-Hopf bifurcation for smooth systems are considered. By introducing one small parameter, we study the bifurcation of limit cycles in passing through its critical value, when the three eigenvalues of the linear part at the origin are at the ...
Ponce Núñez, Enrique +2 more
openaire +4 more sources
Degenerate with respect to parameters fold-Hopf bifurcations
Discrete & Continuous Dynamical Systems - A, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. Tigan
openaire +3 more sources
Fold-Hopf Bursting in a Model for Calcium Signal Transduction [PDF]
, 2002 We study a recent model for calcium signal transduction. This model displays spiking, bursting and chaotic oscillations in accordance with experimental results. We calculate bifurcation diagrams and study the bursting behaviour in detail.
Brusch, Lutz +4 more
core +2 more sources
Bifurcation Analysis in a Cross-Protection Model
AxiomsWe analyze the population dynamics of a microbial cross-protection model and derive the exact conditions under which a Fold–Hopf bifurcation emerges. By applying center-manifold reduction and normal-form theory, we reduce the infinite-dimensional delay ...
Yufei Wu +4 more
doaj +2 more sources
The Boundary-Hopf-Fold Bifurcation in Filippov Systems
SIAM Journal on Applied Dynamical Systems, 2015 K. Efstathiou, Xia Liu, H. Broer
semanticscholar +3 more sources
Bursting Oscillations in Shimizu-Morioka System with Slow-Varying Periodic Excitation
Shock and Vibration, 2018 The coupling effect of two different frequency scales between the exciting frequency and the natural frequency of the Shimizu-Morioka system with slow-varying periodic excitation is investigated.
Xindong Ma, Shuqian Cao
doaj +1 more source
, 2004 A parametrized nonlinear differential equation can have multiple equilibria as the parameter is varied. A local bifurcation of a parametrized differential equation occurs at an equilibrium where there is a change in the topological character of the ...
Chang, Dong Eui +2 more
core +2 more sources
Periodic forcing on degenerate Hopf bifurcation
Discrete & Continuous Dynamical Systems - B, 2021 This paper is devoted to the effect of periodic forcing on a system exhibiting a degenerate Hopf bifurcation. Two methods are employed to investigate bifurcations of periodic solution for the periodically forced system. It is obtained by averaging method
Qigang Yuan, Jingli Ren
semanticscholar +1 more source
Dynamics of the Vocal Fold Oscillation
Trends in Computational and Applied Mathematics, 2005 This paper presents an analysis of the dynamics of the vocal fold oscillation at phonation, using low dimensional mathematical models. It shows that the wavelike motion of the vocal fold mucosa is responsible for a transfer energy from the air flow to ...
J.C. Lucero
doaj +1 more source