Issue |
EPL
Volume 145, Number 1, January 2024
|
|
---|---|---|
Article Number | 13001 | |
Number of page(s) | 7 | |
Section | Fluid and nonlinear dynamics | |
DOI | https://doi.org/10.1209/0295-5075/ad0bc7 | |
Published online | 02 January 2024 |
Augmented dynamics of nonlinear systems: A review
1 Amity University Haryana - Gurgaon (Manesar) 122 413, India
2 Department of Physics, Indian Institute of Technology - Bombay 400 076, India
3 Department of Physics, Aligarh Muslim University - Aligarh 202 002, India
4 Department of Physics and Astrophysics, University of Delhi - Delhi, 110 007, India
5 Department of Physics, Central University of Rajasthan - Ajmer 305 817, India
Received: 10 October 2023
Accepted: 10 November 2023
We discuss a simple yet powerful control technique called “Linear Augmentation” (LA) for nonlinear dynamical systems. The linear augmentation can be perceived as a type of interaction that may occur naturally in dynamical systems as an environmental effect, or can be explicitly added to a system in order to control its collective dynamical behavior. LA has been known to effectively regulate resulting dynamics of various dynamical systems and can be used as a powerful control strategy in various applications. Examples include targeting attractor(s), regulating multistable dynamics, suppression of extreme events, and controlling chimera states in the nonlinear dynamical systems.
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