Results 31 to 40 of about 18,412 (196)
Small aspect ratio Taylor-Couette flow: onset of a very-low-frequency three-torus state [PDF]
, 2003 The nonlinear dynamics of Taylor-Couette flow in a small aspect ratio annulus (where the length of the cylinders is half of the annular gap between them) is investigated by numerically solving the full three-dimensional Navier-Stokes equations.
López Moscat, Juan Manuel +1 more
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Hopf bifurcation on one of tumor models
Lietuvos Matematikos Rinkinys, 2005 The article deals with qualitative analysis of model of pulsing tumor. The model is described by the system of second order differential equations.
Algis Kavaliauskas
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Hopf Bifurcation Analysis for a Four-Dimensional Recurrent Neural Network with Two Delays
Journal of Applied Mathematics, 2013 A four-dimensional recurrent neural network with two delays is considered. The main result is given in terms of local stability and Hopf bifurcation. Sufficient conditions for local stability of the zero equilibrium and existence of the Hopf bifurcation ...
Zizhen Zhang, Huizhong Yang
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The zero-Hopf bifurcations of a new hyperchaotic system
Applied Mathematics and Nonlinear Sciences, 2023 Abstract The aim of this work is to study the existence of zero-Hopf bifurcations of a new hyperchaotic system, using the averaging theory of dynamical systems of second order. Furthermore, at most one periodic orbit can bifurcate from the origin of coordinates.
Zouhair Diab +3 more
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Advances in Difference Equations, 2017 In this paper, we consider a two-dimensional predator-prey model with a time delay and square root response function. We analyze the stability of equilibria with the delay τ increasing and the critical value of τ when Hopf bifurcation occurs. Because the
Xinyu Zhu +3 more
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Zero–Hopf Bifurcations in Three-Dimensional Chaotic Systems with One Stable Equilibrium [PDF]
International Journal of Bifurcation and Chaos, 2020 In [Molaie et al., 2013] the authors provided the expressions of 23 quadratic differential systems in [Formula: see text] with the unusual feature of having chaotic dynamics coexisting with one stable equilibrium point. In this paper, we consider 23 classes of quadratic differential systems in [Formula: see text] depending on a real parameter [Formula:
Llibre, Jaume +2 more
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Travelling waves and their bifurcations in the Lorenz-96 model [PDF]
, 2017 In this paper we study the dynamics of the monoscale Lorenz-96 model using both analytical and numerical means. The bifurcations for positive forcing parameter $F$ are investigated.
Sterk, Alef E., van Kekem, Dirk L.
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Takens-Bogdanov bifurcation of travelling wave solutions in pipe flow [PDF]
, 2010 The appearance of travelling-wave-type solutions in pipe Poiseuille flow that are disconnected from the basic parabolic profile is numerically studied in detail.
B. ECKHARDT +6 more
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Delayed Feedback Control and Bifurcation Analysis of an Autonomy System
Abstract and Applied Analysis, 2013 An autonomy system with time-delayed feedback is studied by using the theory of functional differential equation and Hassard’s method; the conditions on which zero equilibrium exists and Hopf bifurcation occurs are given, the qualities of the Hopf ...
Zhen Wang, Huitao Zhao, Xiangyu Kong
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Finite-size and correlation-induced effects in Mean-field Dynamics [PDF]
, 2011 The brain's activity is characterized by the interaction of a very large number of neurons that are strongly affected by noise. However, signals often arise at macroscopic scales integrating the effect of many neurons into a reliable pattern of activity.
A Levina +43 more
core +3 more sources