Results 81 to 90 of about 5,207 (226)

Hopf-Takens bifurcations and centres

, 2004
The paper deals with Hopf-Takens bifurcations, both in generic families and in families containing centres. Attention goes to the relation between normal forms, Lyapunov coefficients and the Bautin ideal.
Dumortier, F., DUMORTIER, Freddy, Caubergh, M., CAUBERGH, Magdalena   +3 more
core   +1 more source

Bifurcation Analysis and Sliding Mode Control of Chaotic Vibrations in an Autonomous System

Journal of Applied Mathematics, 2014
We study the bifurcations and sliding mode control of chaotic vibrations in an autonomous system. More precisely, a Hopf bifurcation controller is designed so as to control the unstable subcritical Hopf bifurcation to the stable supercritical Hopf ...
Wenju Du, Yandong Chu, Jiangang Zhang, Yingxiang Chang, Jianning Yu, Xinlei An   +5 more
doaj   +1 more source

Double Hopf Bifurcation in Microbubble Oscillators with Delay Coupling

Advances in Mathematical Physics, 2020
Using center manifold reduction methodswe investigate the double Hopf bifurcation in the dynamics of microbubble with delay couplingwith main attention focused on nonresonant double Hopf bifurcation.
Jinbin Wang, Rui Zhang, Lifenq Ma
doaj   +1 more source

Hopf Bifurcations of Moore-Greitzer PDE Model with Additive Noise. [PDF]

J Nonlinear Sci, 2023
Meng Y, Namachchivaya NS, Perkowski N.
europepmc   +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

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  

Criterion of Hopf Bifurcations without Using Eigenvalues

, 1994
This paper presents a criterion for a class of Hopf bifurcations using the properties of coefficients of characteristic equations instead of those of eigenvalues.
Liu, W.M.
core   +1 more source

Resonances in a spring-pendulum: algorithms for equivariant singularity theory [PDF]

, 1998
A spring-pendulum in resonance is a time-independent Hamiltonian model system for formal reduction to one degree of freedom, where some symmetry (reversibility) is maintained.
Vegter, G, Lunter, G.A.; id_orcid, Lunter, Gerard, Hoveijn, I.,, Vegter, G., Lunter, G.A., Hoveijn, I., Vegter, G.,, Broer, H.W., Vegter, G.; id_orcid, Broer, H.W.,, Broer, H.W.; id_orcid, Lunter, GA, Hoveijn, I, Lunter, G.A.,, Broer, HW   +15 more
core   +1 more source

Fast adaptation of cooperative channels engenders Hopf bifurcations in auditory hair cells. [PDF]

Biophys J, 2022
Gianoli F, Hogan B, Dilly É, Risler T, Kozlov AS.   +4 more
europepmc   +1 more source

Bifurcations and Invariant Sets in a Class of Two-Dimensional Endomorphisms

International Journal of Analysis and Applications, 2019
Several endomorphisms of the plane have been constructed by simple maps. We study the dynamics occuring in one of them, which is rich in global bifurcations.
Djellit Ilham, Fakroune Yamina, Selmani Wissame   +2 more
doaj   +2 more sources