Results 41 to 50 of about 491,446 (159)
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
wiley +1 more source
Hypercyclic operators on Lipschitz spaces [PDF]
Математичні Студії, 2013 We consider hypercyclic operators on free Banach spaces and little Lipschitz spaces which are some kind of generalizations of shift operators and composition operators respectively.
M. V. Dubey +2 more
doaj
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
wiley +1 more source
Hypercyclic sequences of operators [PDF]
Studia Mathematica, 2006 A sequence (Tn) of bounded linear operators between Banach spaces X,Y is said to be hypercyclic if there exists a vector x ∈ X such that the orbit {Tnx} is dense in Y . The paper gives a survey of various conditions that imply the hypercyclicity of (Tn) and studies relations among them.
León-Saavedra, F. +1 more
openaire +2 more sources
Hypercyclic behaviour of operators in a hypercyclic C0-semigroup [PDF]
, 2007 Let {Tt}t⩾0 be a hypercyclic strongly continuous semigroup of operators. Then each Tt (t>0) is hypercyclic as a single operator, and it shares the set of hypercyclic vectors with the semigroup.
Müller, V. +2 more
core +1 more source
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
wiley +1 more source
THE LINEAR DYNAMIC OF A HYPERCYCLIC TUPLE OF OPERATORS SUCH AS BIHYPERCYCLICITY GENERATOR
Revista de Matemática: Teoría y Aplicaciones, 2017 In this paper we study the art of recent work Grosse-Erdmann & Kim [6], highlighting as a hypercyclic tuples of operators is a source to build bihypercyclic bilinear mappings.
NELYDA VARGAS DUQUE
doaj +1 more source
Hypercyclic sequences of PDE-preserving operators [PDF]
, 2006 A sequence T=(Tn) of continuous linear operators Tn:X→X is said to be hypercyclic if there exists a vector x∈X, called hypercyclic for T, such that {Tnx:n⩾0} is dense.
Petersson, Henrik, Petersson, Henrik,
core +1 more source
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
wiley +1 more source
Common hypercyclic vectors for families of operators [PDF]
, 2008 We provide a criterion for the existence of a residual set of common hypercyclic vectors for an uncountable family of hypercyclic operators which is based on a previous one given by Costakis and Sambarino.
Partington, Jonathan R. +3 more
core +1 more source