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Fully nonlinear Cucker–Smale model for pattern formation and damped oscillation control.
- Source :
-
Communications in Nonlinear Science & Numerical Simulation . Jun2023, Vol. 120, pN.PAG-N.PAG. 1p. - Publication Year :
- 2023
-
Abstract
- We conduct a theoretical study of the phenomena associated with the self-organization of multi-agents with nonlinear interactions that form the desired spatial pattern without collision. To demonstrate this, we first adopt a singular Cucker–Smale model, which contains a discrete p -Laplacian (p > 1) and external control signals. Then, we introduce a range of properties for the energy function of our model and prove that the model supports non-collision, flocking, and pattern formation. In addition, we employ numerical simulations to show that, depending on the initial data and the discrete p -Laplacian, various significant effects exist, such as the speed control of pattern positioning and amplitude adjustment of damped oscillation. • Fully nonlinear Cucker–Smale model with external signals is addressed. • We prove the flocking phenomenon for the model. • We show that agents of the model induce a pattern formation according to the external signals. • We discuss that the damped oscillation phenomenon can be controlled according to the parameters. [ABSTRACT FROM AUTHOR]
- Subjects :
- *OSCILLATIONS
*ENERGY function
*MULTIAGENT systems
*COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 10075704
- Volume :
- 120
- Database :
- Academic Search Index
- Journal :
- Communications in Nonlinear Science & Numerical Simulation
- Publication Type :
- Periodical
- Accession number :
- 162477426
- Full Text :
- https://doi.org/10.1016/j.cnsns.2023.107159