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Showing 1 to 7 of 7 for “"Discrete-time Dynamical Systems"”.
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Tackling performativity in discrete-time dynamical systems: An iterative refinement approach
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-03-01 without embargo terms
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Shadowing and numerical analysis of set-valued dynamical systems
… is systematically generalized to set-valued discrete-time dynamical systems. In particular, a notion of hyperbolicity is proposed and the corresponding shadowing and inverse shadowing theorems are proved. Explicit error estimates for the Viability Kernel Algorithm are given for systems which …
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A matrix-free numerical bifurcation method applied to sheared annular electroconvection
… by detecting fixed points of two different discrete-time dynamical systems based on numerical integration, and a linear stability analysis that identifies the local behaviour of the flow.
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How well can one resolve the state space of a chaotic map?
All physical systems are affected by some noise that limits the resolution that can be attained in partitioning their state space. For chaotic, locally hyperbolic flows, this resolution depends on the interplay of the local stretching/contraction and the smearing due to noise. My goal is to …
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A stochastic treatment of reaction and diffusion
… analysis consists of Boltzmann maps, which are discrete time dynamical systems that describe the time evolution of the normalized concentrations of the chemicals in the reactions. Moreover, the use of these maps allows us to draw conclusions about the continuous dynamical systems that the law of …
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Bifurcations of maps: numerical algorithms and applications
Dynamical systems theory provides mathematical models for systems which evolve in time according to a rule, originally expressed in analytical form as a system of equations. Discrete-time dynamical systems defined by an iterated map depending on control parameters, \begin{equation} \label{Map:g} …
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Non-asymptotic Behavior in Massive Multiple Access and Streaming System Identification
… problems. This approach, while useful, is sometimes insufficient as the bounds it yields usually have sub-optimal constants and unavoidable logarithmic factors. Consequently, in some situations where the primary goal is to obtain sharp characterizations, e.g. error exponents, it can be highly …