Persistence of resonant torus doubling bifurcation under polynomial perturbations
Franklin OpenResonant torus doubling bifurcation occurs in discrete maps of three or more dimensions. To date, only three discrete maps have been known to exhibit such bifurcations namely Shilnikov map, generalised Hénon map, and quadratic map.
Sishu Shankar Muni
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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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Period-doubling bifurcation and chaos control in a discrete-time mosquito model [PDF]
Computational Ecology and Software, 2017 This article deals with the study of some qualitative properties of a discrete-time mosquito Model. It is shown that there exists period-doubling bifurcation for wide range of bifurcation parameter for the unique positive steady-state of given system. In
Qamar Din, Muhammad Asif Khan
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Period-Doubling Bifurcation of Stochastic Fractional-Order Duffing System via Chebyshev Polynomial Approximation [PDF]
Shock and Vibration, 2017 Fractional-order calculus is more competent than integer-order one when modeling systems with properties of nonlocality and memory effect. And many real world problems related to uncertainties can be modeled with stochastic fractional-order systems with ...
Youming Lei, Yanyan Wang
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The Application of the Undetermined Fundamental Frequency Method on the Period-Doubling Bifurcation of the 3D Nonlinear System [PDF]
Abstract and Applied Analysis, 2013 The analytical method to predict the period-doubling bifurcation of the three-dimensional (3D) system is improved by using the undetermined fundamental frequency method.
Gen Ge, Wei Wang
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Period-doubling bifurcation in an array of coupled stochastically excitable elements subjected to global periodic forcing. [PDF]
Phys Rev Lett, 2009 The collective behaviors of coupled, stochastically-excitable elements subjected to global periodic forcing are investigated numerically and analytically.
Cui X +5 more
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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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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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