Rate and memory effects in bifurcation-induced tipping

被引:1
|
作者
Cantisan, Julia [1 ]
Yanchuk, Serhiy [2 ,3 ]
Seoane, Jesus M. [1 ]
Sanjuan, Miguel A. F. [1 ,4 ]
Kurths, Juergen [3 ,5 ]
机构
[1] Univ Rey Juan Carlos, Dept Fis, Nonlinear Dynam Chaos & Complex Syst Grp, Tulipan S-N, Mostoles 28933, Madrid, Spain
[2] Humboldt Univ, Dept Math, D-12489 Berlin, Germany
[3] Potsdam Inst Climate Impact Res, D-14473 Potsdam, Germany
[4] Kaunas Univ Technol, Dept Appl Informat, Studentu 50-415, LT-51368 Kaunas, Lithuania
[5] Humboldt Univ, Dept Phys, D-12489 Berlin, Germany
关键词
POINTS; SLOW; SYSTEMS;
D O I
10.1103/PhysRevE.108.024203
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
A variation in the environment of a system, such as the temperature, the concentration of a chemical solution, or the appearance of a magnetic field, may lead to a drift in one of the parameters. If the parameter crosses a bifurcation point, the system can tip from one attractor to another (bifurcation-induced tipping). Typically, this stability exchange occurs at a parameter value beyond the bifurcation value. This is what we call, here, the shifted stability exchange. We perform a systematic study on how the shift is affected by the initial parameter value and its change rate. To that end, we present numerical simulations and partly analytical results for different types of bifurcations and different paradigmatic systems. We show that the nonautonomous dynamics can be split into two regimes. Depending on whether we exceed the numerical or experimental precision or not, the system may enter the nondeterministic or the deterministic regime. This is determined solely by the conditions of the drift. Finally, we deduce the scaling laws governing this phenomenon and we observe very similar behavior for different systems and different bifurcations in both regimes.
引用
收藏
页数:10
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