Numerical analysis of behaviour of the Cucker-Smale type models with fractional operators
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Publication:1748165
DOI10.1016/J.CAM.2017.12.013zbMath1386.39031OpenAlexW2777697376MaRDI QIDQ1748165
Małgorzata Wyrwas, Dorota Mozyrska, Ewa Girejko
Publication date: 9 May 2018
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2017.12.013
Fractional derivatives and integrals (26A33) Additive difference equations (39A10) Difference operators (39A70) Dynamical systems in optimization and economics (37N40) Numerical methods for difference equations (65Q10)
Related Items (6)
On the necessary optimality conditions for the fractional Cucker-Smale optimal control problem ⋮ On the existence of optimal consensus control for the fractional Cucker–Smale model ⋮ Fractional Cucker-Smale Type Models with the Caputo Variable-Order Operator ⋮ Fractional-order singular logistic map: stability, bifurcation and chaos analysis ⋮ Emergent dynamics of the fractional Cucker-Smale model under general network topologies ⋮ Leader-following consensus for fractional multi-agent systems
Cites Work
- Cooperative acceleration of task performance: foraging behavior of interacting multi-robots system
- Stability of Fractional-Order Systems with Rational Orders
- Coordination of groups of mobile autonomous agents using nearest neighbor rules
- Stability by linear approximation and the relation between the stability of difference and differential fractional systems
- Emergent Behavior in Flocks
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