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Property of period-doubling bifurcations

Chaos, Solitons & Fractals, 2005
This paper considers an \(n\)-dimensional ordinary differential equation in the form of \(n\) relations giving the derivative of the phase vector with respect to the time. This equation depends on a parameter vector and is nonautonomous, i.e., the functions defining the right part of the \(n\) relations depend on the time.
Xu, M, Wang, L
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A method to calculate period doubling bifurcation

Applied Mathematics and Mechanics (English Edition), 1987
This paper considers small periodic perturbations of second order nonlinear Duffing type equations. It is concerned with the phenomenon known as ``period doubling bifurcation'' interpreted as the combination of two unperturbed equation, whose periods are close to the period of the perturbation.
Liu, Zhengrong, Zhou, Shigang, Liu, Erning   +2 more
exaly   +3 more sources

Effects of pre-stretch, compressibility and material constitution on the period-doubling secondary bifurcation of a film/substrate bilayer [PDF]

International Journal of Non-Linear Mechanics, 2019
We refine a previously proposed semi-analytical method, and use it to study the effects of pre-stretch, compressibility and material constitution on the period-doubling secondary bifurcation of a uni-axially compressed film/substrate bilayer structure ...
Yibin Fu
exaly   +2 more sources

Period-doubling bifurcation of a discrete metapopulation model with a delay in the dispersion terms

Applied Mathematics Letters, 2008
In this work the period-doubling bifurcation of a discrete metapopulation with delay in the dispersion terms is discussed. By using the central manifold method, the period-doubling bifurcation can be analyzed from the viewpoint of the dynamical system ...
Zeng, Li, Huang, Yu, Zhao, Yi
exaly   +2 more sources

Quadratic stabilization of systems with period doubling bifurcation

Proceedings of the 41st IEEE Conference on Decision and Control, 2002., 2004
In this paper we study the stabilization of discrete-time controlled dynamics with periodic doubling bifurcation using quadratic normal forms, centre manifold techniques and quadratic feedbacks. The procedure for designing a quadratic controller is also proposed.
Hamzi B., MONACO, Salvatore, Normand Cyrot D.   +2 more
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An Experimental Approach To Period Doubling Bifurcation In Plasmas

2017 IEEE International Conference on Plasma Science (ICOPS), 2017
A direct current (dc) driven semiconductor-gas discharge system is designed to study nonlinear behavior and period doubling features experimentally. Numerical analysis and theoretical studies show that the period doubling is expected in the discharge 1.
Uzun Kaymak, İlker Ümit, Mansuroglu, Dogan   +1 more
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Dynamic period–doubling bifurcations of a unimodal map

Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Davies, H. G., Rangavajhula, K.
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A universality of period doubling bifurcations

Physica D: Nonlinear Phenomena, 1995
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Arimitsu, T., Motoike, T.
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Subharmonic Hysteresis and Period Doubling Bifurcations for a Periodically Driven Laser

SIAM Journal on Applied Mathematics, 1994
Summary: The authors consider the laser rate equations for a periodically modulated class \(B\) laser. The bifurcation diagram of the periodic solutions is analyzed both numerically and theoretically. The bifurcation parameter is the amplitude of the periodic modulations.
Ira B. Schwartz, Thomas Erneux
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A quasi-analytical method for period-doubling bifurcation

ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196), 2002
Prediction of period-doubling bifurcation is accomplished very accurately by using higher-order Harmonic Balance Approximations (HBAs) and quasi-analytical monodromy-matrix evaluation. Approximation error analysis is carried out for the computation. An accurate detection of first period-doubling bifurcation in Chua's circuit is demonstrated.
Daniel W. Berns, Jorge L. Moiola, Guanrong Chen   +2 more
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