Devaney chaos and distributional chaos in the solution of certain partial differential equations
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Publication:1938202
DOI10.1155/2012/457019zbMath1256.37027OpenAlexW2169930071WikidataQ58695207 ScholiaQ58695207MaRDI QIDQ1938202
Xavier Barrachina, J. Alberto Conejero
Publication date: 4 February 2013
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/457019
Semigroups of transformations, relations, partitions, etc. (20M20) Groups and semigroups of linear operators (47D03) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
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Cites Work
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- On the equivalence of four chaotic operators
- A generalization of Desch-Schappacher-Webb criteria for chaos
- Dynamics of birth-and-death processes with proliferation -- stability and chaos
- Linear chaos
- Li-Yorke and distributionally chaotic operators
- Linear transitivity criteria
- The imaginary point spectrum and hypercyclicity
- Hypercyclic semigroups generated by Ornstein-Uhlenbeck operators
- On periodic solutions to the von Foerster-Lasota equation
- Hypercyclic translation \(C_0\)-semigroups on complex sectors
- Hereditarily hypercylic operators
- Chaos, fractals, and noise: Stochastic aspects of dynamics.
- Distributional chaos for strongly continuous semigroups of operators
- Distributional chaos for operators with full scrambled sets
- Distributional chaos for linear operators
- Distributional chaos for backward shifts
- Chaos for functions of discrete and continuous weighted shift operators
- Distributionally chaotic translation semigroups
- CHAOTIC ASYMPTOTIC BEHAVIOR OF THE HYPERBOLIC HEAT TRANSFER EQUATION SOLUTIONS
- Frequently hypercyclic semigroups
- Hypercyclic and chaotic semigroups of linear operators
- Supercyclic and chaotic translation semigroups
- Hypercyclic, topologically mixing and chaotic semigroups on Banach spaces
- On chaotic 𝐶₀-semigroups and infinitely regular hypercyclic vectors
