Quantum entanglement and fixed-point bifurcations [PDF]
Physical Review A, 2005 v2: Structure of the paper changed for clarity, reduced length, now 9 pages with 6 ...
Hines, A. P. +2 more
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Hegemony and Bifurcation Points in World History
Journal of World-Systems Research, 1995 Examination of the rise and fall of hegemons over the last 500 years reveals that each lasts about 100 years, with another 100 year period between hegemons that is characterized by rough balance among shifting powers frequent major wars.
Terry Boswell
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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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Continuation-conjugate gradient methods for the least squares solution of nonlinear boundary value problems [PDF]
, 1985 We discuss in this paper a new combination of methods for solving nonlinear boundary value problems containing a parameter. Methods of the continuation type are combined with least squares formulations, preconditioned conjugate gradient algorithms and ...
Glowinski, R. +2 more
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Trans-heteroclinic bifurcation: a novel type of catastrophic shift [PDF]
Royal Society Open Science, 2018 Global and local bifurcations are extremely important since they govern the transitions between different qualitative regimes in dynamical systems. These transitions or tipping points, which are ubiquitous in nature, can be smooth or catastrophic. Smooth
Josep Sardanyés +2 more
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Chaotic Behaviour in Two-parameter Family of Transcendental Functions Associated with Exponential Map [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2020 This article is devoted to the study of chaos and bifurcation in the real dynamics of a newly proposed two-parameter family of transcendental functions. We assume that one parameter is continuous and other parameter is discrete.
Mohammad Sajid, Abdullah S. Alsuwaiyan
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Bifurcation discovery tool [PDF]
, 2005 Motivation: Biochemical networks often yield interesting behavior such as switching, oscillation and chaotic dynamics. This article describes a tool that is capable of searching for bifurcation points in arbitrary ODE-based reaction networks by directing
Bergmann, Frank +3 more
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Analysis of stationary points and their bifurcations in the ABC -flow [PDF]
Applied Mathematics and Computation, 2018 Analytical expressions for coordinates of stationary points and conditions for their existence in the ABC flow are received. The type of the stationary points is shown analytically to be saddle-node. Exact expressions for eigenvalues and eigenvectors of the stability matrix are given.
A. A. Didov, M. Yu. Uleysky
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Bifurcation analysis of a three species discrete-time predator-prey model
Alexandria Engineering Journal, 2022 We explore local dynamics at fixed points, existence of periodic points and bifurcation analysis of a three species discrete predator-prey model. More precisely, it is explored that model has trivial fixed point, five boundary fixed points and the ...
A.Q. Khan, S.M. Qureshi, A.M. Alotaibi
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Experimental and theoretical study of the features of the amplitude-frequency response features of the anharmonic Duffing oscillator [PDF]
Омский научный вестник: Серия "Авиационно-ракетное и энергетическое машиностроение"In this paper, experimental waveforms of the bifurcation phenomena in a Duffing oscillator weakly damped by viscous friction. The bifurcation points are found by solving the numerical solution of a harmonically linearized system with respect to the ...
B. A. Kalashnikov +2 more
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