Boundary driven waveguide arrays: Supratransmission and saddle-node bifurcation [PDF]
SIAM Journal on Applied Mathematics, 2008 In this report, we consider a semi-infinite discrete nonlinear Schr\"odinger equation driven at one edge by a driving force. The equation models the dynamics of coupled waveguide arrays.
Hadi Susanto, Leon J.
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Saddle-node bifurcation of viscous profiles.
Physica D, 2012 Traveling wave solutions of viscous conservation laws, that are associated to Lax shocks of the inviscid equation, have generically a transversal viscous profile. In the case of a non-transversal viscous profile we show by using Melnikov theory that a parametrized perturbation of the profile equation leads generically to a saddle-node bifurcation of ...
Achleitner F, Szmolyan P.
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Time-dependent saddle-node bifurcation: Breaking time and the point of no return in a non-autonomous model of critical transitions. [PDF]
Physica D, 2019 There is a growing awareness that catastrophic phenomena in biology and medicine can be mathematically represented in terms of saddle-node bifurcations.
Li JH, Ye FX, Qian H, Huang S.
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Regularization of the Boundary-Saddle-Node Bifurcation [PDF]
Advances in Mathematical Physics, 2018 In this paper we treat a particular class of planar Filippov systems which consist of two smooth systems that are separated by a discontinuity boundary. In such systems one vector field undergoes a saddle-node bifurcation while the other vector field is ...
Xia Liu
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Saddle-Node bifurcations in classical and memristive circuits [PDF]
International Journal of Bifurcation and Chaos, 2016 This paper addresses a systematic characterization of saddle-node bifurcations in nonlinear electrical and electronic circuits. Our approach is a circuit-theoretic one, meaning that the bifurcation is analyzed in terms of the devices’ characteristics and
García de la Vega, Ignacio +1 more
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Transient periodic behaviour related to a saddle-node bifurcation [PDF]
, 1987 The authors investigate transient periodic orbits of dissipative invertible maps of R2. Such orbits exist just before, in parameter space, a saddle-node pair is formed.
Damme, Ruud van, Valkering, Theo P.
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Non-smooth saddle-node bifurcations II: Dimensions of strange attractors [PDF]
Ergodic Theory and Dynamical Systems, 2017 We study the geometric and topological properties of strange non-chaotic attractors created in non-smooth saddle-node bifurcations of quasiperiodically forced interval maps. By interpreting the attractors as limit objects of the iterates of a continuous curve and controlling the geometry of the latter, we determine their Hausdorff and box-counting ...
Gabriel Fuhrmann +2 more
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Quasi-transversal saddle-node bifurcation on surfaces [PDF]
Ergodic Theory and Dynamical Systems, 1990 AbstractIn this paper we give a complete set of invariants (moduli) for mild and strong semilocal equivalence for certain two parameter families of diffeomorphisms on surfaces. These families exhibit a quasi-transversal saddle-connection between a saddle-node and a hyperbolic periodic point.
Jorge A Beloqui, Maria José Pacífico
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A saddle-node bifurcation may be causing the AMOC collapse in the Community Earth System Model [PDF]
Earth System DynamicsRecently, a collapse of the Atlantic Meridional Overturning Circulation (AMOC) was found in the Community Earth System Model (CESM) under constant pre-industrial greenhouse gas forcing conditions.
R. M. van Westen +2 more
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Numerical Study of One Prey-Two Predator Model Considering Food Addition and Anti-Predator Defense [PDF]
E3S Web of Conferences, 2021 This article examines the interaction between prey populations, juvenile predators, and adult predators. A mathematical model that considers adding food and anti-predators was developed.
Savitri Dian
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