Results 61 to 70 of about 203,161 (272)
Hopf-Takens bifurcations and centres
Journal of Differential Equations, 2004 The paper is concerned with a local study of \(C^{\infty }\) p-parameter families of planar vector fields of the form \[ X_{\lambda }(x,y)=(d(\lambda )x-y+f(x,y,\lambda ))\frac{\partial }{\partial x}+(x+d(\lambda )y+g(x,y,\lambda ))\frac{\partial }{\partial y}, \tag{1} \] near a nondegenerate elliptic point.
Freddy Dumortier, Magdalena Caubergh
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Dual Variational Problems and Action Principles for Chen–Lee and Hopf–Langford Systems
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We describe the construction of dual variational principles and action functionals for nonlinear dynamical systems using a methodology based on the dual Lagrange multiplier formalism and a convex optimization approach, to derive families of dual actions that correspond to the given nonlinear ordinary differential system.
A. Ghose‐Choudhury, Partha Guha
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The monodromy in the Hamiltonian Hopf bifurcation [PDF]
Zeitschrift für angewandte Mathematik und Physik, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Time delays frequently arise in active control systems due to sensor sampling, signal transmission, and actuator response, making their effects on system dynamics non‐negligible. This paper investigates how velocity feedback time delay influences the nonlinear dynamic characteristics of a maglev train subjected to unsteady aerodynamic forces ...
Jia‐Xuan Li, Zhi‐Wei Liu, Xiang Liu
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Supramolecular Chalcogen‐Bonded Shape Memory Actuators
Angewandte Chemie, Volume 137, Issue 30, July 21, 2025.Supramolecular chalcogen‐bonded liquid crystal elastomers incorporating Se⋯N interactions exhibit distinct shape memory and actuation properties. Stronger Se⋯N ChBs enable programmable one‐way and two‐way SME, while weaker S⋯N ChBs fail to induce actuation.
Hongshuang Guo +5 more
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Anti-control of Hopf bifurcation for a chaotic system
Nonlinear EngineeringThe anti-control of Hopf bifurcation is a method used for bifurcation control. It can be used to realize the occurrence or delay of bifurcation at the specified position to meet the needs of engineering applications. In this study, a 4D chaotic system is
Zhang Liang, Han Qin
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Bifurcation Analysis of Three-Strategy Imitative Dynamics with Mutations
Complexity, 2019 Evolutionary game dynamics is an important research, which is widely used in many fields such as social networks, biological systems, and cooperative behaviors.
Wenjun Hu, Haiyan Tian, Gang Zhang
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Mathematical Problems in Engineering, 2018 Hopf bifurcation analysis of a delayed ecoepidemiological model with nonlinear incidence rate and Holling type II functional response is investigated. By analyzing the corresponding characteristic equations, the conditions for the stability and existence
Miao Peng +3 more
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On a quasi-periodic Hopf bifurcation [PDF]
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1987 In this paper we study quasi-periodic Hopf bifurcations for the model problem of a quasi-periodically forced oscillator, where the frequencies remain fixed. For this purpose we first consider Stoker’s problem for small damping. Résumé Dans cet article, nous étudions les bifurcations de Hopf quasi-périodiques pour le ...
Boele Braaksma, Hendrik Broer
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Abstract and Applied Analysis, 2014 The paper investigated an avian influenza virus propagation model with nonlinear incidence rate and delay based on SIR epidemic model. We regard delay as bifurcating parameter to study the dynamical behaviors.
Yanhui Zhai +3 more
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