Results 11 to 20 of about 2,533 (183)
A double saddle-node bifurcation theorem
Communications on Pure & Applied Analysis, 2013 In this paper, we consider an abstract equation $F(\lambda,u)=0$ with one parameter $\lambda$, where $F\in C^p(\mathbb{R} \times X, Y)$, $p\geq 2$, is a nonlinear differentiable mapping, and $X,Y$ are Banach spaces. We apply Lyapunov-Schmidt procedure and Morse Lemma to obtain a "double" saddle-node bifurcation theorem with a two-dimensional ...
Ping Liu, Junping Shi, Yuwen Wang
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Time-dependent saddle-node bifurcation: Breaking time and the point of no return in a non-autonomous model of critical transitions. [PDF]
Physica D, 2019 Li JH, Ye FX, Qian H, Huang S.
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Asymptotics of Dynamical Saddle-node Bifurcations
Nelineinaya Dinamika, 2022 Dynamical bifurcations occur in one-parameter families of dynamical systems, when the parameter is slow time. In this paper we consider a system of two nonlinear differential equations with slowly varying right-hand sides. We study the dynamical saddle-node bifurcations that occur at a critical instant.
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Dynamics of a Beddington-DeAngelis type predator-prey system with constant rate harvesting
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In the paper, a predator-prey system with Beddington-DeAngelis functional response and constant rate harvesting is considered. Various dynamical behaviors of the system including saddle-node points and a cusp of codimension 2 are investigated by using ...
Jaeun Lee, Hunki Baek
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Dynamics of a Discrete Leslie–Gower Model with Harvesting and Holling-II Functional Response
Mathematics, 2023 Recently, Christian Cortés García proposed and studied a continuous modified Leslie–Gower model with harvesting and alternative food for predator and Holling-II functional response, and proved that the model undergoes transcritical bifurcation, saddle ...
Chen Zhang, Xianyi Li
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Bogdanov–Takens Bifurcation in a Shape Memory Alloy Oscillator with Delayed Feedback
Complexity, 2020 This work is focused on a shape memory alloy oscillator with delayed feedback. The main attention is to investigate the Bogdanov–Takens (B-T) bifurcation by choosing feedback parameters A1,2 and time delay τ.
Jinbin Wang, Lifeng Ma
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上海师范大学学报. 自然科学版, 2020 In this paper, an amensalism model with Crowley-Martin type functional response is proposed. The existence and stability of all possible equilibria of the system are investigated.
WEI Zhen, GAN Shengjin
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Bifurcations of a Ratio-Dependent Holling-Tanner System with Refuge and Constant Harvesting
Abstract and Applied Analysis, 2013 The bifurcation properties of a predator prey system with refuge and constant harvesting are investigated. The number of the equilibria and the properties of the system will change due to refuge and harvesting, which leads to the occurrence of several ...
Xia Liu, Yepeng Xing
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Frontiers in Cellular Neuroscience, 2018 Hyperpolarization-activated cyclic nucleotide-gated cation current (Ih) plays important roles in the achievement of many physiological/pathological functions in the nervous system by modulating the electrophysiological activities, such as the rebound ...
Zhiguo Zhao +3 more
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On the CCN (de)activation nonlinearities [PDF]
Nonlinear Processes in Geophysics, 2017 We take into consideration the evolution of particle size in a monodisperse aerosol population during activation and deactivation of cloud condensation nuclei (CCN). Our analysis reveals that the system undergoes a saddle-node bifurcation and a cusp
S. Arabas, S. Arabas, S.-I. Shima
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