Results 61 to 70 of about 12,431 (232)
Control based bifurcation analysis for experiments [PDF]
, 2008 We introduce a method for tracking nonlinear oscillations and their bifurcations in nonlinear dynamical systems. Our method does not require a mathematical model of the dynamical system nor the ability to set its initial conditions.
Krauskopf, B., Sieber, J.
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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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Ecology Letters, Volume 29, Issue 5, May 2026.The processes driving community assembly are broadly categorised into deterministic and stochastic ones. With a multi‐replicated experimental design, we quantified the extent to which stochasticity at initial stages of community assembly could drive divergence into alternative ecological trajectories.
Ibuki Hayashi +2 more
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Symmetry Bifurcation and Chaos of the Poincaré Map, in a Three degree-of-freedom Vibro impact System
工程科学与技术, 2008 :A three degree-of-freedom vibro impact system with symmetric constraining stops is considered. The Poincaré map of the system is established, and the symmetry of the Poincaré map is derived in detail. The theory of bifurcation of fixed points is applied
乐源, 谢建华
doaj
Bifurcation Analysis of a Lotka-Volterra Mutualistic System with Multiple Delays
Abstract and Applied Analysis, 2014 A class of Lotka-Volterra mutualistic system with time delays of benefit and feedback delays is introduced. By analyzing the associated characteristic equation, the local stability of the positive equilibrium and existence of Hopf bifurcation are ...
Xin-You Meng, Hai-Feng Huo
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The Hopf bifurcation theorem for parabolic equations with infinite delay [PDF]
, 1991 summary:The existence of the Hopf bifurcation for parabolic functional equations with delay of maximum order in spatial derivatives is proved.
Petzeltová, Hana
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On the nonautonomous Hopf bifurcation problem [PDF]
Discrete and Continuous Dynamical Systems - S, 2016 Consider the two-dimensional system \[ \frac{dx}{dt}=f(x,\epsilon), \] where \(f(0,\epsilon)=0\). In the supercritical Andronov-Hopf theory, one imposes conditions to ensure that \(x=0\) is an exponentially asymptotically stable equilibrium point for \(\epsilon < 0\), and for small positive \(\epsilon\), there is an exponentially asymptotically stable ...
FRANCA, MATTEO +2 more
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Eco‐Epidemiological Mathematical Model Analysis With Time Delays and Hopf Bifurcation
Natural Resource Modeling, Volume 39, Issue 2, May 2026.ABSTRACT Ecological and infection predator prey mathematical model is important tool for understanding complex systems and forecasting outcomes biologically. Incorporating saturation mass action incidence rates representing the rate of susceptible prey infection as a function of time along with time delay terms, makes more realistic and reflective of ...
Solomon Molla Alemu +2 more
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Oscillators Near Hopf Bifurcation
, 2015 In this paper the differential transformation method (DTM) is employed to solve a system of linear differential equations derived for energy optimal control theory and nonlinear differential equations and their systems for oscillators near Hopf ...
Tongxing Li, Helena Samajova
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Are physiological oscillations physiological?
The Journal of Physiology, Volume 604, Issue 9, Page 3672-3693, 1 May 2026.Abstract figure legend Mechanisms and functions of physiological oscillations. Abstract Despite widespread and striking examples of physiological oscillations, their functional role is often unclear. Even glycolysis, the paradigm example of oscillatory biochemistry, has seen questions about its oscillatory function.
Lingyun (Ivy) Xiong, Alan Garfinkel
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