Models of knowing and the investigation of dynamical systems

P. E. Rapp; T. I. Schmah; A. I. Mees

doi:10.1016/S0167-2789(99)00035-4

Models of knowing and the investigation of dynamical systems

P. E. Rapp^*
, T. I. Schmah
, A. I. Mees

^*Corresponding author for this work

Military and Emergency Medicine

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

We present three distinct concepts of what constitutes a scientific understanding of a dynamical system. The development of each of these paradigms has resulted in a significant expansion in the kind of system that can be investigated. In particular, the recently-developed 'algorithmic modelling paradigm' has allowed us to enlarge the domain of discourse to include complex real-world processes that cannot necessarily be described by conventional differential equations.

Original language	English
Pages (from-to)	133-149
Number of pages	17
Journal	Physica D: Nonlinear Phenomena
Volume	132
Issue number	1-2
DOIs	https://doi.org/10.1016/S0167-2789(99)00035-4
State	Published - 15 Jul 1999

Keywords

Algorithmic modelling
Dynamical systems
Embedding

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10.1016/S0167-2789(99)00035-4

Cite this

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abstract = "We present three distinct concepts of what constitutes a scientific understanding of a dynamical system. The development of each of these paradigms has resulted in a significant expansion in the kind of system that can be investigated. In particular, the recently-developed 'algorithmic modelling paradigm' has allowed us to enlarge the domain of discourse to include complex real-world processes that cannot necessarily be described by conventional differential equations.",

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AU - Schmah, T. I.

AU - Mees, A. I.

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AB - We present three distinct concepts of what constitutes a scientific understanding of a dynamical system. The development of each of these paradigms has resulted in a significant expansion in the kind of system that can be investigated. In particular, the recently-developed 'algorithmic modelling paradigm' has allowed us to enlarge the domain of discourse to include complex real-world processes that cannot necessarily be described by conventional differential equations.

KW - Algorithmic modelling

KW - Dynamical systems

KW - Embedding

UR - https://www.scopus.com/pages/publications/0039721640

U2 - 10.1016/S0167-2789(99)00035-4

DO - 10.1016/S0167-2789(99)00035-4

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EP - 149

JO - Physica D: Nonlinear Phenomena

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Models of knowing and the investigation of dynamical systems

Abstract

Keywords

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