Preprint Article Version 1 NOT YET PEER-REVIEWED

Emergence at the Fundamental Systems Level: Existence Conditions for Iterative Specifications

  1. Arizona Center for Integrative Modeling and Simulation (ACIMS), University of Arizona, Tucson, AZ 85721, USA
  2. RTSync Corp. 12500 Park Potomac Ave. #905-S, Potomac, MD 20854, USA
  3. I3S, CNRS, Université Côte d'Azur, France
Version 1 : Received: 17 August 2016 / Approved: 17 August 2016 / Online: 17 August 2016 (11:29:23 CEST)

A peer-reviewed article of this Preprint also exists.

Zeigler, B.P.; Muzy, A. Emergence at the Fundamental Systems Level: Existence Conditions for Iterative Specifications. Systems 2016, 4, 34. Zeigler, B.P.; Muzy, A. Emergence at the Fundamental Systems Level: Existence Conditions for Iterative Specifications. Systems 2016, 4, 34.

Journal reference: Systems 2016, 4, 34
DOI: 10.3390/systems4040034

Abstract

Conditions under which compositions of component systems form a well-defined system-of-systems here are formulated at a fundamental level. Statement of what defines a well-defined composition and sufficient conditions guaranteeing such a result offers insight into exemplars that can be found in special cases such as differential equation and discrete event systems. For any given global state of a composition, two requirements can be stated informally as: 1) the system can leave this state, i.e., there is at least one trajectory defined that starts from the state, and 2) the trajectory evolves over time without getting stuck at a point in time. Considered for every global state, these conditions determine whether the resultant is a well-defined system and if so, whether it is non-deterministic or deterministic. We formulate these questions within the framework of iterative specifications for mathematical system models that are shown to be behaviorally equivalent to the Discrete Event System Specification (DEVS) formalism. This formalization supports definitions and proofs of the afore-mentioned conditions. Implications are drawn at the fundamental level of existence where the emergence of a system from an assemblage of components can be characterized. We focus on systems with feedback coupling where existence and uniqueness of solutions is problematic.

Subject Areas

emergence; uniqueness; existence of solutions; input/output system; system specifications; discrete event system specification

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