Control of Universal Scaling, Noise Strength, and Pattern Formation in Critical Dynamics

Abstract

The objective of our research program has been to build on a powerful and highly successful theory for non-linear stochastic dynamics of cooperative multi-component systems, namely critical dynamics, and upon drawing on considerable available experience in control theory, develop novel efficient protocols for: (1) steering multi-critical complex interacting dynamical systems toward certain desired universal scaling behavior; (2) externally controlling the strength of stochastic fluctuations and intrinsic noise in systems that are driven far from thermal equilibrium and display generic scale invariance; (3) selectively targeting and stabilizing specific self-generated spatio-temporal patterns in strongly fluctuating reaction-diffusion systems and epidemic models.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 2022
Accession Number
AD1226328

Entities

People

  • Michel J. Pleimling
  • P.S.Krishnaprasad
  • Uwe C. Täuber

Organizations

  • Virginia Tech

Tags

Fields of Study

  • Biology
  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computational Fluid Dynamics (CFD)
  • Systems Analysis and Design