Topological bifurcations of minimal invariant sets for set-valued dynamical systems
Topological bifurcations of minimal invariant sets for set-valued dynamical systems
复制标题
集值动力系统的最小不变集的拓扑分叉
DOI：
10.1090/s0002-9939-2015-12544-0
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发表时间：
2011
影响因子：
2.3
通讯作者：
Christian S. Rodrigues
中科院分区：
文献类型：
--
作者：
J. Lamb;M. Rasmussen;Christian S. Rodrigues
我们讨论集值动力系统对参数的依赖性。在具有有限噪声和控制系统的随机动力系统通常满足的温和假设下，我们建立了这样一个事实：最小不变集的拓扑分岔相对于豪斯多夫度量是不连续的，采用较低的半连续爆炸和瞬时出现的形式。我们还通过类莫尔斯分解的性质来表征这些转变。
We discuss the dependence of set-valued dynamical systems on parameters. Under mild assumptions which are often satisfied for random dynamical systems with bounded noise and control systems, we establish the fact that topological bifurcations of minimal invariant sets are discontinuous with respect to the Hausdorff metric, taking the form of lower semi-continuous explosions and instantaneous appearances. We also characterise these transitions by properties of Morse-like decompositions.
影响因子：
0.7
作者：
Homburg,AleJan;Young,ToddR
通讯作者：
Young,ToddR