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Complex systems: An introduction

1. Information theory, chaos theory and computational complexity

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Abstract

The characteristic feature of complex systems is the emergence of unexpected properties or behaviour. Complexity, beyond a certain threshold, may even lead to the emergence of new principles. It is a one-way traffic: The new principles and features may be sometimes deducible from, but are not reducible to, those operating at the lower levels of complexity. Reductionism stands discounted. Complexity is rampant in the animate world. It arises in inanimate systems also, some examples being multiferroic materials and certain nanocomposites, as also a variety of soft-matter systems. Our ecosphere is also a giant, highly complex, open system, which we do not understand much at present. Mastering complexity is the next big challenge for science. Conceptual breakthroughs are needed. In the first part of this article, we introduce the basic of information theory, chaos theory, and computational complexity. In the second part, we shall describe complex materials as well as some terrestrial and cosmic aspects of complexity.

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Authors and Affiliations

  1. Solid State Physics Division, Bhabha Atomic Research Centre, Mumbai, 400 085, India

    V. K. Wadhawan

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  1. V. K. Wadhawan
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Correspondence to V. K. Wadhawan.

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V K Wadhawan is a Raja Ramanna Fellow at the Bhabha Atomic Research Centre, Mumbai. He is also an Associate Editor of the journal Phase Transitions (Taylor & Francis). He is currently investigating certain universal aspects of complexity in diverse systems.

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Wadhawan, V.K. Complex systems: An introduction. Reson 14, 761–781 (2009). https://doi.org/10.1007/s12045-009-0073-x

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  • DOI: https://doi.org/10.1007/s12045-009-0073-x

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