MURI Disorder-Influenced Collective Dynamics of Nonlinear Oscillator Systems white paper tracking number 23-000005205
Abstract
Nonlinear oscillator arrays have numerous science and engineering applications. Collective dynamic behavior such as synchronizationcan help achieve spontaneous emergence of structure from disorder, phase-locking in a large array of heterogeneous oscillators, controlled dynamical orbits, and ultrashort pulse formation. The advent of novel engineered materials, whose properties can be significantly altered in a controlled fashion by external stimuli (e.g., stress, temperature, moisture, electric or magnetic fields) has galvanized scientists and engineers to design and fabricate smaller, faster, and energy-efficient devices. Network systems have becomepopular alternatives to advance the fundamental performance limits.The overall goal of the proposed five year effort is to develop a comprehensive framework informed and enabled by dynamical systems theory, experimental investigations, and brain-inspired computing paradigms, for understanding the interplay amongst parameter disorder, delay and noise in a wide range of oscillator and waveguidearrays and harnessing disorder-influenced collective dynamics in nonlinear networks. This goal will be pursued by a team from the University of Maryland (UMD), College Park, San Diego State University, San Diego, University of California, Irvine, and University of California, Los Angeles. UMD will lead this team, which has specific expertise ranging from nonlinear and stochastic dynamics to high-performance computing to optics and photonics to group theory and applied mathematics to networked dynamical systems, and machine learning. The collaborative efforts of the team, which has extensive experience with Department of Defense (DoD) projects, will advance fundamental frontier interests in disorder due to physical features and heterogeneities and stochasticity influenced collective dynamics in mechanical and optical oscillator arrays, frequency and phase synchronization in chip scale nonlinear oscillators, andenhanced sensing systems, contributing to the fields of solid-state physics, optics and photonics, laser physics, and nonlinear dynamics. To address the MURI topic#s Research Concentration Areas, the twelve tasks of the project are organized into three principal thrusts: i) theoretical framework, modeling, and nonlinear analysis; ii) computing paradigms and algorithms; and iii) experimental and numerical investigations into collective dynamics. Through each thrust, advances sought and approaches to be pursued are described in the proposal, along with the planned collaborative interactions amongst the team members. Expected project outcomes include thefollowing: i) experimentally informed systematic methods to model, predict and analyze the collective response of oscillator networks, ii) mathematical basis, numerical tools, and hyperdimensional computing framework for analysis of collective dynamics including symmetric breaking bifurcations of complex, nonlinear and stochastic systems with disorder-promoted collective behavior, and iii) novel network designs that will benefit a wide range of systems and DoD applications (optical sensors, coupled inertial navigation sensors, chip scale nano-photonic devices, fluxgate magnetometers, radio frequency (RF) communication systems, and antennas). A vigorous dissemination plan will be followed. This includes publications in relevant journals, conferences as well as a project web site, and an annual review to engage team members, advisory board, and personnel from DoD laboratories. Student and post-doctoral researcher training will be an important element of this MURI with three post-doctoral researchers and eight graduate and four undergraduate students to be directly involved in the research efforts, along with six faculty investigators. Existing collaborations with NSWC, NIWC, and ARL, will help transfer the knowledge and the technology developed through this activity to DoD Laboratories. Approved forPublic Release
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Nov 08, 2024
- Source ID
- N000142412547
Entities
People
- Balakumar Balachandran
Organizations
- Office of Naval Research
- United States Navy
- University of Maryland