Natural convection in a vertical channel. Part 2. Oblique solutions and global bifurcations in a spanwise-extended domain [PDF]
Journal of Fluid MechanicsVertical thermal convection is a non-equilibrium system in which both buoyancy and shear forces play a role in driving the convective flow. Beyond the onset of convection, the driven dissipative system exhibits chaotic dynamics and turbulence. In a three-
Zheng Zheng +2 more
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General relationship of local topologies, global dynamics, and bifurcation in cellular networks [PDF]
npj Systems Biology and ApplicationsCellular networks realize their functions by integrating intricate information embedded within local structures such as regulatory paths and feedback loops.
Qing Hu +3 more
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Diffusive induced global dynamics and bifurcation in a predator-prey system [PDF]
Advances in Difference Equations, 2017 In this paper, a diffusive Leslie-type predator-prey model is investigated. The existence of a global positive solution, persistence, stability of the equilibria and Hopf bifurcation are studied respectively.
Nadia N Li
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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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Global Bifurcations in Generic One-Parameter Families with a Parabolic Cycle on S 2 [PDF]
Moscow Mathematical Journal, 2017 We classify global bifurcations in generic one-parameter local families of \vfs on $S^2$ with a parabolic cycle. The classification is quite different from the classical results presented in monographs on the bifurcation theory.
N. Goncharuk +2 more
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Dynamics of adding variable prey refuge and an Allee effect to a predator–prey model
Alexandria Engineering Journal, 2022 Prey refuge from predators can play an important role in stabilising an ecological system by reducing interactions between species, while Allee effects can arise from a range of biological phenomena, such as anti-predator vigilance, genetic trends and ...
Hafizul Molla +3 more
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Cascades of Global Bifurcations and Chaos near a Homoclinic Flip Bifurcation: A Case Study [PDF]
SIAM Journal on Applied Dynamical Systems, 2018 We study a specific homoclinic bifurcation called a homoclinic flip bifurcation of case C, where a homoclinic orbit to a saddle equilibrium with real eigenvalues changes from being orientable to nonorientable.
A. Giraldo, B. Krauskopf, H. Osinga
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Global bifurcation analysis of a quartic predator-prey model [PDF]
Компьютерные исследования и моделирование, 2011 We complete the global bifurcation analysis of a quartic predator-prey model. In particular, studying global bifurcations of singular points and limit cycles, we prove that the corresponding dynamical system has at most two limit cycles.
Valery Aleksandrovich Gaiko
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New Results of Some of the Conformable Models Arising in Dynamical Systems
Advances in Mathematical Physics, 2022 This article investigates the new results of three nonlinear conformable models (NLCMs). To study such varieties of new soliton structures, we perform the generalized Kudryashov (GK) method.
Md Nur Alam +5 more
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Basin bifurcations, oscillatory instability and rate-induced thresholds for Atlantic meridional overturning circulation in a global oceanic box model [PDF]
Proceedings of the Royal Society A, 2019 The Atlantic meridional overturning circulation (AMOC) transports substantial amounts of heat into the North Atlantic sector, and hence is of very high importance in regional climate projections.
H. Alkhayuon +4 more
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