Emergence in Random Noisy Environments

Abstract

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.

16 pages

References in corpus (3)

• Novel type of phase transition in a system of self-driven particles
• State Transitions and the Continuum Limit for a 2D Interacting, Self-Propelled Particle System
• From particle to kinetic and hydrodynamic descriptions of flocking

Cited by in corpus (3)

• Collective motion
• Leader-following Consensus Problems with a Time-varying Leader under Measurement Noises
• Synchronization in Networks of Coupled Harmonic Oscillators with Stochastic Perturbation and Time Delays