Results 31 to 40 of about 62,585 (218)
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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Hamiltonian Hopf bifurcations in Gaudin models [PDF]
We show that su ( 2 ) rational and trigonometric Gaudin models, or in other words, generalised coupled angular momenta systems, have singularities that undergo Hamiltonian Hopf bifurcations.
Våge Henriksen, Tobias
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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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Global Hopf Bifurcation Analysis for a Time-Delayed Model of Asset Prices
Discrete Dynamics in Nature and Society, 2010 A time-delayed model of speculative asset markets is investigated to discuss the effect of time delay and market fraction of the fundamentalists on the dynamics of asset prices.
Ying Qu, Junjie Wei
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Journal of Differential Equations, 1995 The authors present a numerical bifurcation study of the dynamical behavior of a structural dynamics model of a periodically forced suspended cable. The simplified equations of motion are: \(\ddot x+ \mu \dot x+ c_1 x+ c_2 x^2+ c_3 x^3= P\cos(\Omega t)\); \(c_1\), \(c_2\), \(c_3\) are fixed parameters.
Deng, B., Sakamoto, K.
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MathematicsThis paper is devoted to the study of the dynamical behaviors of a socioeconomic mathematical model with a discrete time delay. The model includes economic growth, corruption, and unemployment, which are some of the main factors driving the economy of a ...
Ogochukwu Ifeacho +1 more
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Hopf Bifurcation of a Differential-Algebraic Bioeconomic Model with Time Delay
Journal of Applied Mathematics, 2012 We investigate the dynamics of a differential-algebraic bioeconomic model with two time delays. Regarding time delay as a bifurcation parameter, we show that a sequence of Hopf bifurcations occur at the positive equilibrium as the delay increases.
Xiaojian Zhou, Xin Chen, Yongzhong Song
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Advanced Science, EarlyView.Organic electrochemical transistors bridge biological ionic signaling and neuromorphic computation through volumetric electrochemical gating. This review connects Organic mixed ionic–electronic conductor materials, device architectures, and manufacturing technologies to show how geometry, ion transport, and fabrication strategies program plasticity ...
Hyunjin Lee +5 more
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Subcritical Hopf bifurcations in a car-following model with reaction-time delay [PDF]
, 2005 A nonlinear car-following model of highway traffic is considered, which includes the reaction-time delay of drivers. Linear stability analysis shows that the uniform flow equilibrium of the system loses its stability via Hopf bifurcations and thus ...
Orosz, G, Stepan, G
core
Dynamical analysis of a competition and cooperation system with multiple delays
Boundary Value Problems, 2018 This paper is concerned with a competition and cooperation system with multiple constant delays relating to economic enterprise. The stability of the unique positive equilibrium is investigated and the existence of Hopf bifurcations is demonstrated by ...
Xin Zhang, Zizhen Zhang, Matthew J. Wade
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