[HTML][HTML] Dynamics, interference effects, and multistability in a Lorenz-like system of a classical wave–particle entity in a periodic potential

J Perks, RN Valani - Chaos: An Interdisciplinary Journal of Nonlinear …, 2023 - pubs.aip.org
A classical wave–particle entity (WPE) can be realized experimentally as a droplet walking
on the free surface of a vertically vibrating liquid bath, with the droplet's horizontal walking …

Non-Brownian diffusion and chaotic rheology of autophoretic disks

R Kailasham, AS Khair - Physical Review E, 2023 - APS
The dynamics of a two-dimensional autophoretic disk is quantified as a minimal model for
the chaotic trajectories undertaken by active droplets. Via direct numerical simulations, we …

[HTML][HTML] Infinite-memory classical wave-particle entities, attractor-driven active particles, and the diffusionless Lorenz equations

RN Valani - Chaos: An Interdisciplinary Journal of Nonlinear …, 2024 - pubs.aip.org
A classical wave-particle entity (WPE) can materialize as a millimeter-sized droplet walking
horizontally on the free surface of a vertically vibrating liquid bath. This WPE comprises a …

[HTML][HTML] Attractor-driven matter

RN Valani, DM Paganin - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
The state of a classical point-particle system may often be specified by giving the position
and momentum for each constituent particle. For non-pointlike particles, the center-of-mass …

Mechanism of multistability in chaotic maps

J Liu, K Sun, H Wang - Chaos: An Interdisciplinary Journal of Nonlinear …, 2024 - pubs.aip.org
This research aims to investigate the mechanisms of multistability in chaotic maps. The study
commences by examining the fundamental principles governing the development of …

Learning to Synchronize with Chaotic Dynamical Systems Using Time-Delayed Reservoir Computing

B Xiao, J Liang, L Cai, D Wu, J Sun, B Zhang… - Available at SSRN … - papers.ssrn.com
Reservoir computing (RC) is a class of simple but efficient neural networks that is particularly
suited for temporal or sequential learning tasks. The prediction of chaotic dynamical systems …