Robust non-computability of dynamical systems and computability of robust dynamical systems

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Dynamics and abstract computability: computing invariant measures
Universal computation and other capabilities of hybrid and continuous dynamical systems
An analytic system with a computable hyperbolic sink whose basin of attraction is non-computable
Computational bounds on polynomial differential equations
The wave equation with computable initial data such that its unique solution is not computable
Non computable Mandelbrot-like sets for a one-parameter complex family
An analog characterization of the Grzegorczyk hierarchy
Computability, noncomputability, and hyperbolic systems
Computability of topological entropy: from general systems to transformations on Cantor sets and the interval
Statistical properties of dynamical systems -- Simulation and abstract computation
Computability with polynomial differential equations
The set of hyperbolic equilibria and of invertible zeros on the unit ball is computable
Realizing semicomputable simplices by computable dynamical systems
Computability, noncomputability and undecidability of maximal intervals of IVPs
A computable ordinary differential equation which possesses no computable solution
The Wave Equation with Computable Initial Data Whose Unique Solution Is Nowhere Computable
Turing Universality of the Incompressible Euler Equations and a Conjecture of Moore
Computing the exact number of periodic orbits for planar flows
How to lose at Monte Carlo: a simple dynamical system whose typical statistical behavior is non-computable
Non-computable Julia sets
On structural stability
Iteration, inequalities, and differentiability in analog computers
Analytic one-dimensional maps and two-dimensional ordinary differential equations can robustly simulate Turing machines

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