Results 11 to 20 of about 18,412 (196)
Zero-Hopf bifurcation in the generalized Michelson system [PDF]
Chaos, Solitons & Fractals, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Llibre, Jaume, Makhlouf, Amar
exaly +8 more sources
Hopf and zero-Hopf bifurcations in the Hindmarsh–Rose system [PDF]
Nonlinear Dynamics, 2015 Agraïments: The first author is partially supported by FAPESP Grant 2013/2454-1, CAPES Grant 88881.068462/2014-01 and EU Marie-Curie IRSES Brazilian-European partnership in Dyn. Systems (FP7-PEOPLE-2012-IRSES 318999 BREUDS). Agraïments: The second author is partially supported CAPES Grant Number 88881.
Claudio Buzzi +2 more
openaire +8 more sources
A paradigmatic system to study the transition from zero/Hopf to double-zero/Hopf bifurcation [PDF]
Nonlinear Dynamics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
LUONGO, Angelo, ZULLI, Daniele
openaire +3 more sources
Zero-Hopf bifurcation in the Chua’s circuit
Journal of Mathematical Physics, 2023 An equilibrium point of a differential system in R3 such that the eigenvalues of the Jacobian matrix of the system at the equilibrium are 0 and ±ωi with ω > 0 is called a zero-Hopf equilibrium point. First, we prove that the Chua’s circuit can have three zero-Hopf equilibria varying its three parameters.
Jean-Marc Ginoux, Jaume Llibre
openaire +4 more sources
ZERO-HOPF BIFURCATION IN NUCLEAR SPIN GENERATOR SYSTEM
Journal of Applied Analysis & Computation, 2021 Summary: By computing we obtain that \(P_1(0, 0, 1)\) is a zero-Hopf equilibrium point of nuclear spin generator system. We prove that there exist two families of nuclear spin generator system which has the zero-Hopf equilibrium point \(P_1(0, 0, 1)\).
Shi, Renxiang, Yu, Jiang
openaire +2 more sources
Transcritical and zero-Hopf bifurcations in the Genesio system [PDF]
Nonlinear Dynamics, 2021 Agraïments: The first author is supported by FAPESP Grant No. 2013/24541-0. Both authors are supported by CAPES Grant 88881.030454/2013-01 Program CSF-PVE. In this paper we study the existence of transcritical and zero--Hopf bifurcations of the third--order ordinary differential equation a b c x - x^2 = 0, called the Genesio equation, which has a ...
Pedro Toniol Cardin, Jaume Llibre
openaire +8 more sources
Hopf-Zero Bifurcation in Three-Cell Networks with Two Discrete Time Delays [PDF]
Mathematics Interdisciplinary Research, 2021 In this paper, we study a delayed three-cell network which is introduced by coupled cell theory and neural network theory. We investigate this model with two different discrete delays.
Zohreh Dadi, Zahra Yazdani
doaj +1 more source
Journal of Mathematics, 2022 In this study, a predator-prey model with the Allee effect and fear effect is established. We use the comparison principle to prove boundedness. The zero equilibrium point and nonzero equilibrium point of the model are calculated, and the local stability
Ye Xuan Li +5 more
doaj +1 more source
Co-dimension two bifurcations analysis of a delayed tumor model with Allee effect
Advances in Difference Equations, 2021 The mathematical model has become an important means to study tumor treatment and has developed with the discovery of medical phenomena. In this paper, we establish a delayed tumor model, in which the Allee effect is considered.
Qinrui Dai
doaj +1 more source
Periodic solutions for a four-dimensional hyperchaotic system
Advances in Difference Equations, 2020 In this paper, we show a zero-Hopf bifurcation in a four-dimensional smooth quadratic autonomous hyperchaotic system. Using averaging theory, we prove the existence of periodic orbits bifurcating from the zero-Hopf equilibrium located at the origin of ...
Jing Yang, Zhouchao Wei, Irene Moroz
doaj +1 more source