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A period-doubling bifurcation for the duffing equation

open access: yesA period-doubling bifurcation for the duffing equation
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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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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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Period-doubling bifurcations in stimulated Raman scattering

Physical Review A, 1987
We have studied two aspects of chaotic behavior in stimulated Raman scattering. The route to chaos in this nonlinear optical process has been shown to be period-doubling bifurcations. The fractal dimension of the Raman strange attractor has been calculated for different values of damping of the Stokes mode.
, Nath, , Ray
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A universality of period doubling bifurcations

Physica D: Nonlinear Phenomena, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arimitsu, T., Motoike, T.
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