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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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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Forcing, damping and detuning for single and coupled Van der Pol oscillators [PDF]
, 2014 We use Melnikov function techniques together with geometric methods of bifurcation theory to study the interactions of forcing, damping and detuning on resonant periodic orbits for single and coupled forced Van Der Pol oscillators. For a coupled pair the
Afshar-Nejad, Z, Chillingworth, D.R.J
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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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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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Efficient handling of stability problems in shell optimization by asymmetric ‘worst-case’ shape imperfection [PDF]
, 2008 The paper presents an approach to shape optimization of proportionally loaded elastic shell structures under stability constraints. To reduce the stability-related problems, a special technique is utilized, by which the response analysis is always ...
Brank, Boštjan +3 more
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Predicting climate tipping as a noisy bifurcation: A review [PDF]
, 2011 Copyright © 2011 World Scientific PublishingElectronic version of an article published in International Journal of Bifurcation and Chaos, Vol. 21 (2), pp. 399 – 423. DOI: 10.1142/S0218127411028519. Copyright © World Scientific Publishing Company.
Thompson, J., Sieber, J., Thompson, J.M.
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Complexity, 2023 Population ecosystems can display the tipping points at which extinctions of species happens. To predict the appearance of tipping points and to understand their evolution mechanism are of uttermost importance for ecological balance.
Min Xiao +4 more
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Dynamics and Bifurcation for One Non-linear System
Science, Engineering and Technology, 2023 In this paper, we observed the ordinary differential equation (ODE) system and determined the equilibrium points. To characterize them, we used the existing theory developed to visualize the behavior of the system.
Vahidin Hadžiabdić +3 more
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Bifurcation of Fredholm maps II; The dimension of the set of bifurcation points [PDF]
, 2011 We obtain an estimate for the covering dimension of the set of bifurcation points for solutions of nonlinear elliptic boundary value problems from the principal symbol of the linearization along the trivial branch of ...
Pejsachowicz, Jacobo
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