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The superintegrability of a rational harmonic oscillator (non-central harmonic oscillator with rational ratio of frequencies) with non-linear "centrifugal" terms is studied. In the first part, the system is directly studied in the Euclidean…

Mathematical Physics · Physics 2015-05-18 Manuel F. Rañada , Miguel A. Rodríguez , Mariano Santander

Despite the significance of short-term memory in cognitive function, the process of encoding and sustaining the input information in neural activity dynamics remains elusive. Herein, we unveiled the significance of transient neural dynamics…

Neurons and Cognition · Quantitative Biology 2021-09-01 Kohei Ichikawa , Kunihiko Kaneko

It is widely accepted that the complex dynamics characteristic of recurrent neural circuits contributes in a fundamental manner to brain function. Progress has been slow in understanding and exploiting the computational power of recurrent…

Chaotic Dynamics · Physics 2013-07-18 Rodrigo Laje , Dean V. Buonomano

We investigate a model system for the rotational dynamics of inertial many-particle clustering, in which sub-millimeter objects are acoustically levitated in air. Driven by scattered sound, levitated grains self-assemble into a monolayer of…

Soft Condensed Matter · Physics 2022-03-14 Melody X. Lim , Bryan VanSaders , Anton Souslov , Heinrich M. Jaeger

We propose a model predictive control (MPC) based approach to a flock control problem with obstacle avoidance capability in a leader-follower framework, utilizing the future trajectory prediction computed by each agent. We employ the…

Optimization and Control · Mathematics 2024-04-30 Aneek Nag , Shuo Huang , Andreas Themelis , Kaoru Yamamoto

A machine learning model is developed to establish wake patterns behind oscillating foils whose kinematics are within the energy harvesting regime. The role of wake structure is particularly important for array deployments of oscillating…

Fluid Dynamics · Physics 2023-03-03 Bernardo Luiz R. Ribeiro , Jennifer A. Franck

We study the processes in which fluctuating elements of a system are progressively fixed (quenched) while keeping the interaction with the remaining unfixed elements. If the interaction is global among the Ising spin elements and if the…

Statistical Mechanics · Physics 2018-07-04 Bruno Ventéjou , Ken Sekimoto

For an unknown linear system, starting from noisy open-loop input-state data collected during a finite-length experiment, we directly design a linear feedback controller that guarantees robust invariance of a given polyhedral set of the…

Systems and Control · Electrical Eng. & Systems 2022-05-25 Andrea Bisoffi , Claudio De Persis , Pietro Tesi

Understanding how information can efficiently spread in distributed systems under noisy communications is a fundamental question in both biological research and artificial system design. When agents are able to control whom they interact…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-11 Niccolò D'Archivio , Amos Korman , Emanuele Natale , Robin Vacus

In biological systems, both skin sensitivity and body flexibility play crucial roles in haptic perception. Fully soft robots often suffer from structural fragility and delayed sensory processing, limiting their practical functionality. The…

Robotics · Computer Science 2025-04-21 Kazashi Nakano , Katsuma Inoue , Yasuo Kuniyoshi , Kohei Nakajima

Field control provides a practical route to programmable active matter, yet how weak fields modify non-equilibrium coexistence and interfaces remains unclear. To address this, we study a minimal flocking model of active Potts particles…

Soft Condensed Matter · Physics 2026-03-30 Mintu Karmakar , Matthieu Mangeat , Swarnajit Chatterjee , Heiko Rieger , Raja Paul

Recent studies of active colloidal matter have revealed that a global polar order can arise from chemorepulsive interactions among particles without any explicit alignment interaction between them. In this work, we investigate such…

Soft Condensed Matter · Physics 2026-05-05 Sagarika Adhikary , Rajesh Singh

We investigate the effects of quenched disorder on the coherent response in a driven system of coupled oscillators. In particular, the interplay between quenched noise and periodic driving is explored, with particular attention to the…

Statistical Mechanics · Physics 2009-11-10 H. Hong

It has been known in the robotics literature since about 1995 that, in polar coordinates, the nonholonomic unicycle is asymptotically stabilizable by smooth feedback, even globally. We introduce a modular design framework that selects the…

Systems and Control · Electrical Eng. & Systems 2026-01-09 Velimir Todorovski , Kwang Hak Kim , Alessandro Astolfi , Miroslav Krstic

Traditionally, physical models of associative memory assume conditions of equilibrium. Here, we consider a prototypical oscillator model of associative memory and study how active noise sources that drive the system out of equilibrium, as…

Disordered Systems and Neural Networks · Physics 2023-07-26 Matthew Du , Agnish Kumar Behera , Suriyanarayanan Vaikuntanathan

We present a simple model-free control algorithm that is able to robustly learn and stabilize an unknown discrete-time linear system with full control and state feedback subject to arbitrary bounded disturbance and noise sequences. The…

Optimization and Control · Mathematics 2020-10-02 Dimitar Ho , John Doyle

Inspired by the recent work FedNL (Safaryan et al, FedNL: Making Newton-Type Methods Applicable to Federated Learning), we propose a new communication efficient second-order framework for Federated learning, namely FLECS. The proposed…

Optimization and Control · Mathematics 2022-06-07 Artem Agafonov , Dmitry Kamzolov , Rachael Tappenden , Alexander Gasnikov , Martin Takáč

The correlated motion of flocks is an instance of global order emerging from local interactions. An essential difference with analogous ferromagnetic systems is that flocks are active: animals move relative to each other, dynamically…

We investigate the collective dynamics of self-propelled particles able to probe and anticipate the orientation of their neighbors. We show that a simple anticipation strategy hinders the emergence of homogeneous flocking patterns. Yet,…

Statistical Mechanics · Physics 2015-06-23 Alexandre Morin , Jean-Baptiste Caussin , Christophe Eloy , Denis Bartolo

We investigate synchronization caused by long-range hydrodynamic interaction in a two-dimensional, substrated array of rotors with random intrinsic frequencies. The rotor mimics a flagellated bacterium that is attached to the substrate…

Statistical Mechanics · Physics 2010-03-30 Nariya Uchida , Ramin Golestanian