2025/02/03 by Vishal Juneja, Suresh Kumarasamy, Juneja, Vishal +7
Computer Science · Neuroscience · #Chaotic Dynamics (nlin.CD) #EEG and Brain-Computer Interfaces #FOS: Physical sciences #Neural Networks and Applications #Neural dynamics and brain function
paper · pdf · doi:10.48550/arxiv.2502.01219
openalex publication_date 2025/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Dynamical systems can be coupled in a manner that is designed to drive the resulting dynamics onto a specified lower dimensional submanifold in the phase space of the combined system. On the submanifold, the variables of the two systems have a well-specified functional relationship. This process can be viewed as a control technique that ensures generalized synchronization. Depending on the nature of the dynamical systems and the specified submanifold, different coupling functions can be derived in order to achieve a desired control objective. We discuss a circuit implementation of this strategy for coupled chaotic Lorenz oscillators, as well as a demonstration of the methodology for designing coordinated motion (swarming) in a set of autonomous drones.