Results 91 to 100 of about 1,090 (133)

On numerically hypercyclic operators

, 2013
According to Kim, Peris and Song, a continuous linear operator $T$ on a complex Banach space $X$ is called {\it numerically hypercyclic} if the numerical orbit $\{f(T^nx):n\in\N\}$ is dense in $\C$ for some $x\in X$ and $f\in X^*$ satisfying $\|x\|=\|f\|=f(x)=1$. They have characterized numerically hypercyclic weighted shifts and provided an example of
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Existence and stability of stationary solutions to spatially extended autocatalytic and hypercyclic systems under global regulation and with nonlinear growth rates. [PDF]

Nonlinear Anal Real World Appl, 2010
Bratus AS, Posvyanskii VP, Novozhilov AS.   +2 more
europepmc   +1 more source

Ecology and Evolution in the RNA World Dynamics and Stability of Prebiotic Replicator Systems. [PDF]

Life (Basel), 2017
Szilágyi A, Zachar I, Scheuring I, Kun Á, Könnyű B, Czárán T.   +5 more
europepmc   +1 more source

Hypercyclic operators on Hilbert C*-modules

Filomat
In this paper we characterize hypercyclic generalized bilateral weighted shift operators on the standard Hilbert module over the C*-algebra of compact operators on the separable Hilbert space. Moreover, we give necessary and sufficient conditions for these operators to be chaotic and we provide concrete examples.
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Gradient-Free De Novo Learning. [PDF]

Entropy (Basel)
Friston K, Parr T, Heins C, Da Costa L, Salvatori T, Tschantz A, Koudahl M, Van de Maele T, Buckley C, Verbelen T.   +9 more
europepmc   +1 more source

Analytic hypercyclic operators

Matematychni Studii, 2008
Z. H. Mozhyrovska, A. V. Zagorodnyuk
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Disjoint hypercyclic operators [PDF]

Studia Mathematica, 2007
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Syndetically Hypercyclic Operators

Integral Equations and Operator Theory, 2005
A sequence \((T_n)_{n\geq 0}\) of bounded operators on a separable \(\mathcal{F}\)-space \(X\) is hypercyclic if there exists a vector \(x\) in \(X\) such that the set \(\{T_n x \; ; \; n\geq 0\}\) is dense in \(X\). An operator \(T\) on \(X\) is hypercyclic if the sequence \((T^n)_{n\geq 0}\) of its powers is hypercyclic.
Peris, Alfredo, Saldivia, Luis
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Faber-hypercyclic operators

Israel Journal of Mathematics, 2008
Let \(X\) be a complex infinite-dimensional separable Banach space and \(T\) be a bounded linear operator on \(X\). Let \(\Omega\) be a bounded domain of the complex plane whose boundary is a closed Jordan curve and \((F_n^{\Omega})_{n\geq 0}\) be the sequence of Faber polynomials of \(\Omega\).
Badea, Catalin, Grivaux, Sophie
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Multi-hypercyclic operators are hypercyclic

Mathematische Zeitschrift, 2001
An operator \(T\) on a separable complex Hilbert space \(\mathcal H\) space is said to be hypercyclic if there is a vector \(x\) such that the orbit \(\{T^nx: n=0,1,\ldots\}\) is dense in \(\mathcal H\). An operator is said to be supercyclic if there is a vector \(x\) such that the scalar multiples of the elements in the orbit are dense in \(\mathcal H\
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