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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Global dynamics, Neimark-Sacker bifurcation and hybrid control in a Leslie’s prey-predator model
Alexandria Engineering Journal, 2022 In the present study, we explore the topological classifications at fixed points, global dynamics, Neimark-Sacker bifurcation and hybrid control in the two-dimensional discrete-time Leslie’s prey-predator model.
A.Q. Khan +2 more
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Bogdanov–Takens bifurcation of a Holling IV prey–predator model with constant-effort harvesting
Journal of Inequalities and Applications, 2021 A prey–predator model with constant-effort harvesting on the prey and predators is investigated in this paper. First, we discuss the number and type of the equilibria by analyzing the equations of equilibria and the distribution of eigenvalues.
Lifang Cheng, Litao Zhang
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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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Emerging criticality at bifurcation points in heteroclinic dynamics
Physical Review Research, 2020 Heteroclinic dynamics is a suitable framework to describe transient dynamics that is characteristic for ecological as well as neural systems, in particular for cognitive processes.
Maximilian Voit +1 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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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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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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Modelling stem cell differentiation related processes—A practical overview for biologists
FEBS Letters, EarlyView.Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
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PROBLEMS OF ECONOMY MANAGEMENT IN THE LIGHT OF COMPLEXITY THEORY
Управленческие науки, 2015 The article presents the results of the fi research on the problems of governing a state with the use of the methodology of complexity theory (cybernetic epistemology) The toolkit allowed the authors to conclude that the complex, dissipative system of ...
S. Kretov
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