Results 31 to 40 of about 73 (68)
The Retentivity of Four Kinds of Shadowing Properties in Non-Autonomous Discrete Dynamical Systems. [PDF]
Jiang Y, Lu T, Pi J, Anwar W.
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Closing Lemma for Meromorphic Functions
In this paper we discuss the closing lemma for rational functions of degree at least 2 and meromorphic transcendental functions. After some preliminary considerations we prove the strong closing lemma for points in a domain of rotation, that is to say a ...
Hartje Kriete, Kriete, Hartje
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Dynamical Systems: From Classical Mechanics and Astronomy to Modern Methods. [PDF]
Rao ASRS, Krantz SG.
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Semihyperbolic transcendental Semigroups
: This paper deals with semihyperbolic semigroups which are generated by entire (possibly transcendental) functions. In particular, a criterion is given assuring that a given entire semigroup is semihyperbolic.
Hartje Kriete, Hiroki Sumi
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Ruelle's Transfer Operator for Random Subshifts of Finite Type
We consider a Ruelle-Perron-Frobenius type of selection procedure for probability measures that are invariant under random subshifts of finite type. In particular we prove that for a class of random functions this method leads to a unique probability ...
Volker Matthias Gundlach +1 more
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We introduce random homoclinic points and orbits for random dynamical systems with hyperbolic stationary orbits and investigate their meaning for irregular behaviour in form of a stochastic version of the Birkhoff-Smale Theorem.
Volker Matthias Gundlach
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Stable Index Pairs for Discrete Dynamical Systems
A new shorter proof of the existence of index pairs for discrete dynamical systems is given. Moreover, the index pairs defined in that proof are stable with respect to small perturbations of the generating map.
Tomasz Kaczynski, Marian Mrozek
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Towards The Global: Complexity, Topology And Chaos In Modelling, Simulation And Computation
Topological effects produce chaos in multiagent simulation and distributed computation. We explain this result by developing three themes concerning complex systems in the natural and social sciences: (i) Pragmatically, a system is complex when it is ...
David A. Meyer
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Approximation of Indifferent Cycles
In this paper we deal with analytic families of polynomials or entire transcendental functions with one free singular value. The main topic is the approximation of non--hyperbolic funtions by hyperbolic functions and we discuss the (non--)convergence of ...
Hartje Kriete
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Strong Cocycle Triviality for ... Subshifts
. We consider the cohomology of two-dimensional subshifts, and develop a new approach to proving that every cocycle is trivial (i.e. cohomologous to a homomorphism).
Oliver Jenkinson
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