Linear chaos for the quick-thinking-driver model

DOI10.1007/s00233-015-9704-6zbMath1342.37084arXiv1503.07745OpenAlexW2191495542MaRDI QIDQ283346

Marina Murillo-Arcila, J. Alberto Conejero, Juan B. Seoane-Sepúlveda

Publication date: 13 May 2016

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.07745

zbMATH Keywords

chaoscar-following modelsdeath modelsquick-thinking-driver model

Mathematics Subject Classification ID

Traffic problems in operations research (90B20) Applications of dynamical systems (37N99) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Ordinary differential equations of infinite order (34A35) Complex behavior and chaotic systems of ordinary differential equations (34C28) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)

Related Items (6)

Linear dynamics of semigroups generated by differential operators ⋮ When Does Chaos Appear While Driving? Learning Dynamical Systems Via Car-Following Models ⋮ Distributionally chaotic families of operators on Fréchet spaces ⋮ Chaotic asymptotic behaviour of the solutions of the Lighthill-Whitham-Richards equation ⋮ Chaotic dynamics in a transport equation on a network ⋮ Distributional chaos for the forward and backward control traffic model

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