Titlebook: Higher-Order Systems; Federico Battiston,Giovanni Petri Book 2022 The Editor(s) (if applicable) and The Author(s), under exclusive license

Prologue

978-3-030-91376-2The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

Delude

接觸

成績上升

Acetabulum

Understanding Complex Systemshttp://image.papertrans.cn/h/image/426994.jpg

ALT

https://doi.org/10.1007/978-3-030-91374-8Higher-order Networks; Topological Data Analysis; Social Contagion; Many-body Interactions; Network Biol

LUT

斗爭

C. Brandon Ogbunugafor,Samuel V. Scarpinorious considerations –moral, spiritual and aesthetic – that take part in the formation of economic decisions in sharp contrast with theories that purport to explain economic phenomena solely on the basis of utility maximisation..978-3-030-09139-2978-3-319-75064-4Series ISSN 2520-1794 Series E-ISSN 2520-1808

虛假

,Persistent Homology: A?Topological Tool for?Higher-Interaction Systems,sed. Finally, we introduce the necessary metrics in order to state properties of stability of the introduced multiscale summaries under perturbations of input data. At the end, we give an overview of applications of persistent homology as well as a review of the existing tools in the broader area of

小官

,Explosive Synchronization and?Multistability in?Large Systems of?Kuramoto Oscillators with?Higher-Oplored, revealing a natural mechanism for nonlinear phenomena that includes abrupt (i.e., explosive) synchronization transitions and extensive multistability. These dynamics are qualitatively preserved under more heterogeneous network topologies. Moreover, the high degree of multistability in such n