Chaotic behaviour of birth-and-death models with proliferation

DOI10.1080/10236198.2011.631535zbMath1247.47004OpenAlexW2053833827MaRDI QIDQ2881936

Javier Aroza, Alfred Peris Manguillot

Publication date: 3 May 2012

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2011.631535

zbMATH Keywords

infinite-dimensional linear systemschaotic semigroupmixing semigroupsub-chaotic semigroup

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (10)

Linear dynamics of semigroups generated by differential operators ⋮ Linear chaos for the quick-thinking-driver model ⋮ Distributionally chaotic families of operators on Fréchet spaces ⋮ Chaotic asymptotic behaviour of the solutions of the Lighthill-Whitham-Richards equation ⋮ Chaotic \(C_0\)-semigroups induced by semiflows in Lebesgue and Sobolev spaces ⋮ A simple characterization of chaos for weighted composition $C_0$-semigroups on Lebesgue and Sobolev spaces ⋮ Dynamics on binary relations over topological spaces ⋮ Strong mixing measures for \(C_0\)-semigroups ⋮ Chaotic behaviour on invariant sets of linear operators ⋮ Distributional chaos for the forward and backward control traffic model

Cites Work

• A generalization of Desch-Schappacher-Webb criteria for chaos
• Linear chaos
• Operators with dense, invariant, cyclic vector manifolds
• Linear transitivity criteria
• The imaginary point spectrum and hypercyclicity
• Semigroups for generalized birth-and-death equations in \(l^p\) spaces
• Chaotic behavior of semigroups related to the process of gene amplification-deamplification with cell proliferation
• Hereditarily hypercylic operators
• Frequently hypercyclic operators
• TOPOLOGICAL CHAOS FOR A CLASS OF LINEAR MODELS
• Hypercyclic and chaotic semigroups of linear operators
• On hypercyclicity and supercyclicity criteria
• Hypercyclic, topologically mixing and chaotic semigroups on Banach spaces

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