Stability and bifurcation analysis in a predator prey model involving additive Allee effect
Revista IntegraciónIn this paper we study codimension 1 Hopf bifurcation for a two dimensional autonomous nonlinear ordinary differential equations system, modeling a predator-prey interaction with Holling type II functional response and additive Allee effect in the prey ...
Jocirei Dias Ferreira +2 more
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Trans-heteroclinic bifurcation
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 transitions involve a continuous change in the steady state of the system until the bifurcation ...
Sardanyés, Josep|| +2 more
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Pitchfork bifurcation and heteroclinic connections in the Kuramoto–Sivashinsky PDE
Journal of Computational DynamicsWe present a method for the complete analysis of the dynamics of dissipative Partial Differential Equations (PDEs) undergoing a pitchfork bifurcation. We apply our technique to the Kuramoto--Sivashinsky PDE on the line to obtain a computer-assisted proof of the creation of two symmetric branches of non-symmetric fixed points and heteroclinic ...
Kubica, Jacek +2 more
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Heteroclinic networks for brain dynamics. [PDF]
Front Netw Physiol, 2023 Meyer-Ortmanns H.
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Cp singularity theory and heteroclinic bifurcation with a distinguished parameter
Journal of Differential Equations, 1992 A planar dynamical system \(\dot z=h(z,\lambda)\) with one distinguished real parameter \(\lambda\) having for \(\lambda=0\) a hyperbolic saddle \(p_ 0\) and a semihyperbolic equilibrium \(q_ 0\) (a fold) with one negative and one zero eigenvalue of \(Dh(q_ 0)\) is considered. The bifurcation being investigated is the existence of a heteroclinic orbit \
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Dynamic patterns of electroosmosis peristaltic flow of a Bingham fluid model in a complex wavy microchannel. [PDF]
Sci Rep, 2023 Hosham HA +3 more
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Reconstructing Waddington's landscape from data. [PDF]
Proc Natl Acad Sci U S ACislo DJ +3 more
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Analytical study of the Lorenz system: Existence of infinitely many periodic orbits and their topological characterization. [PDF]
Proc Natl Acad Sci U S A, 2023 Pinsky T.
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Slow ion concentration oscillations and multiple states in neuron-glia interaction-insights gained from reduced mathematical models. [PDF]
Front Netw Physiol, 2023 Øyehaug L.
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Global dynamics of an SIS compartment model with resource constraints. [PDF]
J Appl Math Comput, 2023 Liu H, Liu C, Feng T.
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