Emergence in Random Noisy Environments

Details Emergence in Random Noisy Environments Emergence in Random Noisy Environments

2009-09-18

arxiv.org/abs/0909.3343v1

International Journal of Mathematical Analysis, 2010

Mathematics

Dynamical Systems

16 pages

Scientific paper

We investigate the emergent behavior of four types of generic dynamical
systems under random environmental perturbations. Sufficient conditions for
nearly-emergence in various scenarios are presented. Recent fundamental works
of F. Cucker and S. Smale on the construction and analysis of flocking models
directly inspired our present work.

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