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Degenerate with respect to parameters fold-Hopf bifurcations
Discrete and Continuous Dynamical Systems, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gheorghe Tigan
exaly +3 more sources
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 ...
Francisco Javier Ros Padilla +2 more
exaly +4 more sources
Degenerate Fold–Hopf Bifurcations in a Rössler-Type System [PDF]
International Journal of Bifurcation and Chaos, 2017 We study the Hopf and the fold–Hopf bifurcations of the Rössler-type differential system [Formula: see text] with [Formula: see text]. We show that the classical Hopf bifurcation cannot be applied to this system for detecting the fold–Hopf bifurcation, which here is studied using the averaging theory.
Gheorghe Tigan +2 more
openaire +7 more sources
Bursting Oscillations in General Coupled Systems: A Review
Mathematics, 2023 In this paper, the bursting oscillation phenomenon in coupled systems with two time scales is introduced. Firstly, several types of bifurcation are briefly introduced: fold bifurcation, Hopf bifurcation, fold limit cycle bifurcation, homoclinic ...
Danjin Zhang, Youhua Qian
doaj +1 more source
Fast-Slow Coupling Dynamics Behavior of the van der Pol-Rayleigh System
Mathematics, 2021 In this paper, the dynamic behavior of the van der Pol-Rayleigh system is studied by using the fast–slow analysis method and the transformation phase portrait method.
Danjin Zhang, Youhua Qian
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Instability of small-amplitude periodic waves from fold-Hopf bifurcation
Journal of Mathematical Physics, 2022 We study the existence and stability of small-amplitude periodic waves emerging from fold-Hopf equilibria in a system of one reaction–diffusion equation coupled with one ordinary differential equation. This coupled system includes the FitzHugh–Nagumo system, caricature calcium models, and other models in real-world applications.
Shuang Chen, Jinqiao Duan
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Modelling and Simulation in Engineering, 2023 Acetyl chloride hydrolysis is a highly sensitive exothermic reaction that has presented several industrial safety issues. In the present study, a multiparameter mathematical model, previously developed and applied to simulate the oscillatory thermal ...
Juan Carlos Ojeda Toro +2 more
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Influence of arginine vasopressin on the ultradian dynamics of Hypothalamic-Pituitary-Adrenal axis
Frontiers in Endocrinology, 2022 Numerous studies on humans and animals have indicated that the corticotrophin-releasing hormone (CRH) and arginine vasopressin (AVP) stimulate both individually and synergistically secretion of adrenocorticotropic hormone (ACTH) by corticotropic cells in
Aleksandra S. Stojiljković +5 more
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Dynamic effect of electromagnetic induction on epileptic waveform
BMC Neuroscience, 2022 Background Electromagnetic induction has recently been considered as an important factor affecting the activity of neurons. However, as an important form of intervention in epilepsy treatment, few people have linked the two, especially the related ...
Yuqin Sun +3 more
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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
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