Emergent Phenomena in Collective Dynamics
Abstract
Emergent Phenomena in Collective DynamicsThe overall goal of this proposal is to investigate emergent phenomena in collective dynamics. The self-organization aspect of collective dynamics stirred a considerable interest in recent years, in view of its range of applications ??? fromsynchronization and control of self-organized crowd of mechanical (robotic) agents to optimization and prediction of large crowd human behavior, e.g., emergence of ???consensus???. Our research, outlined in ??2 below will focus on three main aspects???emergent phenomena in large crowds, competition in crowds involving two or more species, and analysis of nonlinear transport which underlies the hydrodynamic description of these phenomena. A fundamentalquestion is understanding how short-range communication enables the emergence of large-scale patters. We propose a new paradigm, based of communication in topological neighborhoods. Our preliminary studies show their critical role in large-scale emergence. What patterns are expected to emerge? We propose to distinguish between active features (the ???phenotype???)which interact with the environment vs. the ???genotype??? which influence the readiness to interact, leading to fascinating class of synchronized alignment. In a second line of research we plan to study the dynamics of two or more species;our primary examples include chemotactic dynamics and alignment dynamics. We plan to analyze and simulate such multi-species models which provide fascinating scenarios beyond the emergence of consensus in alignment-basedmodels. In a third line of our research, we continue our study of pressure-less dynamics ??? the basic nonlinear transport which underlies the hydrodynamic description of the above models. We plan to complete the development ofa new framework of dual solutions which are realized by vanishing viscosity limits, thus proving the first existence results for systems of nonlinear transport. These results go over, mutatis mutandis, to the alignment based transport. Insummary, we propose to construct new models, analyze their large time behavior and complement our study with accurate and ???faithful" numerical simulations to gain insight into these new paradigms of emergent phenomena in collective dynamics.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jul 10, 2018
- Source ID
- N000141812465
Entities
People
- Eitan Tadmor
Organizations
- Office of Naval Research
- United States Navy
- University of Maryland