Chaos and hypercyclicity for solution semigroups to some partial differential equations

DOI10.1016/j.na.2005.02.010zbMath1226.47009OpenAlexW2033686038MaRDI QIDQ999999

Fukiko Takeo

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.02.010

zbMATH Keywords

partial differential operatorschaotic semigroupshypercyclic semigroups

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) General theory of partial differential operators (47F05) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (20)

Linear dynamics of semigroups generated by differential operators ⋮ Hypercyclicity and topologically mixing property for abstract time-fractional equations ⋮ Chaotic and hypercyclic properties of the quasi-linear Lasota equation ⋮ Strong mixing Gaussian measures for chaotic semigroups ⋮ Hypercyclic and Topologically Mixing Properties of Certain Classes of Abstract Time-Fractional Equations ⋮ Design of PDC controllers by matrix reversibility for synchronization of Yin and Yang chaotic Takagi-Sugeno fuzzy Hénon maps ⋮ Supercyclicity criteria for \(C_0\)-semigroups ⋮ Problem of stability and chaotic properties of multidimensional Lasota equation in the context of Matuszewska-Orlicz indices ⋮ On the chaotic properties of the von Foerster-Lasota equation ⋮ Anti-synchronization of uncertain unified chaotic systems with dead-zone nonlinearity ⋮ Hypercyclic semigroups generated by Ornstein-Uhlenbeck operators ⋮ Chaotic \(C_0\)-semigroups induced by semiflows in Lebesgue and Sobolev spaces ⋮ CHAOTIC ASYMPTOTIC BEHAVIOR OF THE HYPERBOLIC HEAT TRANSFER EQUATION SOLUTIONS ⋮ Chaos synchronization using fuzzy logic controller ⋮ The chaos of the solution semigroup for some partial differential equations in weighted Banach spaces ⋮ Synchronization and anti-synchronization coexist in two-degree-of-freedom dissipative gyroscope with nonlinear inputs ⋮ \(f\)-frequently hypercyclic \(C_0\)-semigroups on complex sectors ⋮ Unnamed Item ⋮ Chaotic behaviour on invariant sets of linear operators ⋮ Chaos of multi-dimensional linear hyperbolic PDEs

Cites Work

• Unnamed Item
• Chaos, fractals, and noise: Stochastic aspects of dynamics.
• Chaos for functions of discrete and continuous weighted shift operators
• Hypercyclic and chaotic semigroups of linear operators
• Supercyclic and chaotic translation semigroups

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