Nonlinearities, Disequilibria and Simulation 1992
DOI: 10.1007/978-1-349-12227-1_7
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A Chaotic Reformulation of Multiplier—Accelerator Models

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“… The issue of the existence of a general purpose analogue computer for the solution of Goodwin‐types economic models has been discussed in depth by Velupillai (2003) and the connection between the computation of trajectories by a Universal Turing Machine is sketched in Velupillai (1992, p.106) discussion of Goodwin's Rössler system (Goodwin, 1992) and is fully developed in Velupillai (2010, chapter 16). Clearly, if one endorses the Church–Turing thesis both the general purpose analogue computer for the computations of the differential equations and digital computer for the computation of the difference equations approximating the original systems are both computable by a Universal Turing Machine, but this does not make the two systems isomorphic. …”
mentioning
confidence: 99%
“… The issue of the existence of a general purpose analogue computer for the solution of Goodwin‐types economic models has been discussed in depth by Velupillai (2003) and the connection between the computation of trajectories by a Universal Turing Machine is sketched in Velupillai (1992, p.106) discussion of Goodwin's Rössler system (Goodwin, 1992) and is fully developed in Velupillai (2010, chapter 16). Clearly, if one endorses the Church–Turing thesis both the general purpose analogue computer for the computations of the differential equations and digital computer for the computation of the difference equations approximating the original systems are both computable by a Universal Turing Machine, but this does not make the two systems isomorphic. …”
mentioning
confidence: 99%