Results 11 to 20 of about 2,361 (162)
A period-doubling bifurcation for the Duffing equation
Osaka Journal of Mathematics, 1997 The purpose of this paper is to give a rigorous proof of existence of the period-doubling bifurcation (doubling of the rank of a subharmonic) generated by a Duffing equation with a periodic external force. This type of two-dimensional non-autonomous ordinary differential equation was the object of many studies via the association of the qualitative ...
Komatsu, Yukie +2 more
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Perturbed period-doubling bifurcation. I. Theory [PDF]
Physical Review B, 1990 The influence of perturbations (a small, near-resonant signal and noise) on a driven dissipative dynamical system that is close to undergoing a period-doubling bifurcation is investigated. It is found that the system is very sensitive, and that periodic perturbations change its stability in a well-defined way that is a function of the amplitude and the
Svensmark, Henrik; id_orcid 0000-0003-2843-3417 +1 more
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Sequence of Routes to Chaos in a Lorenz-Type System
Discrete Dynamics in Nature and Society, 2020 This paper reports a new bifurcation pattern observed in a Lorenz-type system. The pattern is composed of a main bifurcation route to chaos (n=1) and a sequence of sub-bifurcation routes with n=3,4,5,…,14 isolated sub-branches to chaos.
Fangyan Yang +3 more
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Open Mathematics, 2022 In this paper, a discrete Leslie-Gower predator-prey system with Michaelis-Menten type harvesting is studied. Conditions on the existence and stability of fixed points are obtained.
Chen Jialin +3 more
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Bifurcation Analysis in a Discrete-Time Prey-Predator System With Crowly- Martin Functional Response
Tikrit Journal of Pure Science, 2023 In this paper, a discrete time prey-predator system with Crowly- Martin functional response was studied. The fixed points of the model are obtained, and their stability is analyzed. Further existence of bifurcation analysis at each fixed points and Hopf
Jaza Omer Muhammed, Kawa Ahmed Hassan
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Period-Timing Bifurcations in a Dispersion-Managed Fiber Laser With Zero Group Velocity Dispersion
IEEE Photonics Journal, 2016 We report on the numerical results of period timing bifurcations in a dispersion-managed (DM) fiber laser with zero group velocity dispersion (GVD).The fiber laser is passively mode-locked by using the nonlinear polarization rotation technique.
Qian Zhang +3 more
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Energies, 2021 This study focuses on the numerical investigation of the underlying mechanism of transition from chaotic to periodic dynamics of circular cylinder wake under the action of time-dependent fluidic actuation at the Reynolds number = 2000.
Wasim Sarwar +3 more
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Alternate pacing of border-collision period-doubling bifurcations [PDF]
Nonlinear Dynamics, 2007 14 pages, 5 figures; added funding ...
Zhao, Xiaopeng, Schaeffer, David G.
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Discrete Dynamics in Nature and Society, 2013 We study a simple discrete model with the impact of calcium-channel noise on the beat-to-beat dynamics of cardiac cells. The effects of the noise are assessed by bifurcation analysis and power spectrum analysis, respectively.
Jiying Ma, Dongmei Xiao
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Bifurcations, Period Doublings and Chaos in Clarinetlike Systems
Europhysics Letters (EPL), 1986 Wind instruments provide interesting hydrodynamical systems where non-linearities are important but well localized. A simple analysis shows that these systems should undergo Feignebaum-type route to chaos, with a cascade of period doublings.
Maganza, Christian +2 more
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