Chaotic behaviour on invariant sets of linear operators

DOI10.1007/s00020-014-2188-zzbMath1343.47008arXiv1206.1978OpenAlexW2057332104MaRDI QIDQ2342940

Marina Murillo-Arcila, Alfred Peris Manguillot

Publication date: 30 April 2015

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.1978

zbMATH Keywords

invariant setstopological mixinghypercyclic operatorsDevaney chaosmixing measures

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Ergodicity, mixing, rates of mixing (37A25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (4)

Linear dynamics of semigroups generated by differential operators ⋮ Dynamics of shift operators on non-metrizable sequence spaces ⋮ Hypercyclic operators for iterated function systems ⋮ On the dynamics of Lipschitz operators

Cites Work

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• Mixing operators and small subsets of the circle
• Invariant measures for frequently hypercyclic operators
• Weakly mixing operators on topological vector spaces
• A generalization of Desch-Schappacher-Webb criteria for chaos
• Dynamics of birth-and-death processes with proliferation -- stability and chaos
• Linear chaos
• Mixing properties for nonautonomous linear dynamics and invariant sets
• Strong mixing measures for linear operators and frequent hypercyclicity
• The nonlinear geometry of Banach spaces
• Chaos and hypercyclicity for solution semigroups to some partial differential equations
• Topological dynamics of transformations induced on the space of probability measures
• Classifying dynamical systems by their recurrence properties
• Unimodular eigenvalues and linear chaos in Hilbert spaces
• Chaotic \(C_0\)-semigroups induced by semiflows in Lebesgue and Sobolev spaces
• Strong mixing measures for \(C_0\)-semigroups
• Hypercyclicity and unimodular point spectrum
• The specification property for backward shifts
• Chaotic behaviour of birth-and-death models with proliferation
• Hypercyclic operators on topological vector spaces
• Frequently hypercyclic semigroups
• Frequently hypercyclic operators and vectors
• TRANSITIVE AND HYPERCYCLIC OPERATORS ON LOCALLY CONVEX SPACES
• Lipschitz-free Banach spaces
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Ergodic Theory

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