Results 1 to 10 of about 438 (175)
IEEE Photonics Journal, 2017 Period-doubling bifurcation and period-quadrupling bifurcation of vector soliton pulses in a graphene mode locked fiber laser is experimentally observed and investigated. Not only single vector soliton but also vector soliton bunches as a unity are found
Yufeng Song +6 more
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An analytical method for analyzing symmetry-breaking bifurcation and period-doubling bifurcation [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Satish Nagarajaiah
exaly +4 more sources
Bifurcation Theory: A Review [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2023 Bifurcation theory is a field of mathematics that studies the qualitative changes in the behavior of a dynamical system as a parameter in the system is varied.In this ...
Salma Farris, manal Hamdi
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Influence of perturbations on period-doubling bifurcation [PDF]
Physical Review A, 1987 The influence of noise and resonant perturbation on a dynamical system in the vicinity of a period-doubling bifurcation is investigated. It is found that the qualitative dynamics can be revealed by simple considerations of the Poincar\'e map. These considerations lead to a shift of the bifurcation point which is proportional to the square of the ...
Svensmark, Henrik; id_orcid 0000-0003-2843-3417 +1 more
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Chaotic Dynamics by Some Quadratic Jerk Systems
Axioms, 2021 This paper is about the dynamical evolution of a family of chaotic jerk systems, which have different attractors for varying values of parameter a. By using Hopf bifurcation analysis, bifurcation diagrams, Lyapunov exponents, and cross sections, both ...
Mei Liu, Bo Sang, Ning Wang, Irfan Ahmad
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Simultaneous border-collision and period-doubling bifurcations [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2009 We unfold the codimension-two simultaneous occurrence of a border-collision bifurcation and a period-doubling bifurcation for a general piecewise-smooth, continuous map. We find that with sufficient nondegeneracy conditions, a locus of period-doubling bifurcations emanates nontangentially from a locus of border-collision bifurcations. The corresponding
Simpson, D. J. W., Meiss, J. D.
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Heliyon, 2022 The current manuscript studies a discrete-time phytoplankton-zooplankton model with Holling type-II response. The original model is modified by considering the condition that the phytoplankton population is getting infected with an external toxic ...
Muhammad Salman Khan +3 more
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Period-doubling bifurcation readout for a Josephson qubit [PDF]
Physical Review B, 2011 We propose a threshold detector with an operation principle, based on a parametric period-doubling bifurcation in an externally pumped nonlinear resonance circuit. The ac-driven resonance circuit includes a dc-current-biased Josephson junction ensuring parametric frequency conversion (period-doubling bifurcation) due to its quadratic nonlinearity.
Zorin, Alexander B., Makhlin, Yuriy
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Cascades of period-doubling bifurcations: A prerequisite for horseshoes [PDF]
Bulletin of the American Mathematical Society, 1983 The authors consider a parameter depending dynamical system \(f:C\times [0,1]\to {\mathbb{R}}^ n\) such that f(.,1) is a horseshoe map. Assuming that cross-sectional areas are contracting, they show that infinitely many cascades of period doublings must occur in the process of forming the horseshoe.
Yorke, James A., Alligood, Kathleen T.
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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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