Results 51 to 60 of about 38,020 (248)
Time-delayed feedback control for chaotic systems with coexisting attractors
AIMS MathematicsThis study investigated the Hopf bifurcation of the equilibrium point of chaotic systems with coexisting attractors under the time-delayed feedback control.
Erxi Zhu
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Turing-Hopf bifurcation analysis in a diffusive Gierer-Meinhardt model
AIMS Mathematics, 2021 The reaction-diffusion Gierer-Meinhardt system in one dimensional bounded domain is considered in the present paper. The Hopf bifurcation is investigated, which is found to be degenerate.
Anna Sun, Ranchao Wu, Mengxin Chen
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Parametric Resonance of Hopf Bifurcation [PDF]
Nonlinear Dynamics, 2005 We investigate the dynamics of a system consisting of a simple, harmonic oscillator with small nonlinearity, small damping and small parametric forcing in the neighborhood of 2:1 resonance. We assume that the unforced system exhibits the birth of a stable limit cycle as the damping changes sign from positive to negative (a supercritical Hopf ...
Rand, Richard +2 more
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Optimization of Hopf Bifurcation Points
SIAM Journal on Scientific Computing, 2023 We introduce a numerical technique for controlling the location and stability properties of Hopf bifurcations in dynamical systems. The algorithm consists of solving an optimization problem constrained by an extended system of nonlinear partial differential equations that characterizes Hopf bifurcation points.
Nicolas Boullé +2 more
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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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一类时滞计算机网络病毒模型的动力学行为(Dynamics of an epidemic model of computer virus with delays)
Zhejiang Daxue xuebao. Lixue ban, 2015 An SLBRS computer virus model with two delays is considered. Local stability and local Hopf bifurcation of this model are investigated. Sufficient conditions for local stability and the existence of local Hopf bifurcation are obtained by regarding ...
ZHANGZizhen(张子振)
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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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Discrete Dynamics in Nature and Society, 2006 We consider a simplified bidirectional associated memory (BAM) neural network model with four neurons and multiple time delays. The global existence of periodic solutions bifurcating from Hopf bifurcations is investigated by applying the global Hopf ...
Xiang-Ping Yan, Wan-Tong Li
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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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Real‐Time Observation of Double‐Hopf Bifurcation in an Ultrafast All‐PM Fiber Laser [PDF]
, 2022 Katarzyna Krupa +2 more
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