Results 31 to 40 of about 1,809 (166)
Information Characteristics, Processes, and Mechanisms of Self‐Organization Evolution
Complexity, Volume 2019, Issue 1, 2019., 2019 Self‐organization is a general mechanism for the creation of new structural pattern of systems. A pattern, in essence, is a relationship, an architecture, a way of organizing, and a structure of order, which can only be explained by information activities.
Kun Wu, Qiong Nan, Quanmin Zhu
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Frequently hypercyclic semigroups [PDF]
, 2010 We study frequent hypercyclicity in the context of strongly continuous semigroups of operators. More precisely, we give a criterion (sufficient condition) for a semigroup to be frequently hypercyclic, whose formulation depends on the Pettis integral ...
Mangino, E. M., Peris, A.
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Abstract and Applied Analysis, Volume 2018, Issue 1, 2018., 2018 The main aim of this paper is to investigate generalized asymptotical almost periodicity and generalized asymptotical almost automorphy of solutions to a class of abstract (semilinear) multiterm fractional differential inclusions with Caputo derivatives. We illustrate our abstract results with several examples and possible applications.
G. M. N’Guérékata +2 more
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Existence of common and upper frequently hypercyclic subspaces [PDF]
, 2014 We provide criteria for the existence of upper frequently hypercyclic subspaces and for common hypercyclic subspaces, which include the following consequences.
Bès, Juan, Menet, Quentin
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S‐Mixing Tuple of Operators on Banach Spaces
Journal of Function Spaces, Volume 2016, Issue 1, 2016., 2016 We consider the question: what is the appropriate formulation of Godefroy‐Shapiro criterion for tuples of operators? We also introduce a new notion about tuples of operators, S‐mixing, which lies between mixing and weakly mixing. We also obtain a sufficient condition to ensure a tuple of operators to be S‐mixing.
Wei Wang +3 more
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Supercyclic Weighted Translations on Quotient Spaces
AxiomsIn this note, we give the sufficient and necessary condition for weighted translations on the Orlicz spaces of quotient spaces to be supercyclic. By applying this characterization of supercyclicity, the descriptions of hypercyclicity, topological mixing ...
AliReza Bagheri Salec +3 more
doaj +1 more source
, 2014 We generalize a result for the translation $C_0$-semigroup on $L^p(\R_+,\mu)$ about the equivalence of being chaotic and satisfying the Frequent Hypercyclicity criterion due to Mangino and Peris to certain weighted composition $C_0$-semigroups. Such $C_0$
Kalmes, Thomas
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Hypercyclic Behavior of Translation Operators on Spaces of Analytic Functions on Hilbert Spaces
Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015 We consider special Hilbert spaces of analytic functions of many infinite variables and examine composition operators on these spaces. In particular, we prove that under some conditions a translation operator is bounded and hypercyclic.
Zoryana Mozhyrovska +2 more
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Dynamics of tuples of matrices [PDF]
, 2008 In this article we answer a question raised by N. Feldman in \cite{Feldman} concerning the dynamics of tuples of operators on $\mathbb{R}^n$. In particular, we prove that for every positive integer $n\geq 2$ there exist $n$ tuples $(A_1, A_2, ..., A_n ...
Costakis, George +2 more
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Chaos for Cosine Operator Functions on Groups
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 Let 1 ≤ p < ∞ and G be a locally compact group. We characterize chaotic cosine operator functions, generated by weighted translations on the Lebesgue space Lp(G), in terms of the weight condition. In particular, chaotic cosine operator functions and chaotic weighted translations can only occur simultaneously.
Chung-Chuan Chen, Wei-Shih Du
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