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11	Hypercyclic Extensions of an Operator on a Hilbert Subspace with Prescribed Behaviors Kadel, Gokul Raj 26 July 2013 (has links) No description available. Mathematics Hypercyclicity Periodic points Chaotic extension Adjoint operator Dual hypercyclic operator Hypercyclic extension Fredholm extension Hypercyclic subspace
12	An exploration of two-periodic cycles in discrete quadratic dynamical systems modulo a prime Elias, Kovalski January 2024 (has links) This paper is a bachelor thesis in Applied Mathematics at Linnaeus University. The goal of this thesis is to find a structure in sets of discrete quadratic dynamical systems modulo a number, with a main focus on 1-, and 2-periodic points in sets of systems modulo an odd prime. The amount of 1-, and 2-periodic points in such sets is numerically investigated and is proven directly to be p, respectively p-1. Furthermore, the sets are visualized using a diagram, where some apparent structures are noticed, and later explained. Finally, through numerical investigations, an expression for the amount of 2-periodic points in a system modulo a composite number is also perceived, and expressed as a conjecture. Proving the conjecture should be done in a future project. Number theory Mathematics Periodic points Discrete dynamical system Dynamical system Cycle finding algorithm Prime numbers Other Mathematics Annan matematik
13	Hypercyclic Extensions Of Bounded Linear Operators Turcu, George R. 20 December 2013 (has links) No description available. Mathematics hypercyclic operators extensions of hypercyclic operators chaotic operators hypercyclic vectors periodic points Banach space Hilbert space linear operator hypercyclicity operator theory orthogonal projection

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