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Application of chaos measures to a simplified boids flocking model

Content Provider	Springer Nature Link
Author	Harvey, John Merrick, Kathryn Abbass, Hussein A.
Copyright Year	2015
Abstract	Swarm intelligence systems are characterised by the emergence of structure without explicit external control, the coexistence of many stable states and the existence of state transitions with significant change of the system dynamics. Despite these characteristics being shared with the dynamics of chaotic systems, little is known of the potential relationship between swarm and chaotic systems. If indeed there is a relationship between the two, it may be possible to complement the current subjective and quantitative measures used for identifying swarming dynamics with the objective measures used in chaotic systems. This study shows that a simplified version of the original Reynolds’ ‘boids’ (short for ‘birdoid’) model and two degraded versions of the simplified model display flocking dynamics based on current measures of group and order. The simplified version of the original boids model and one of the degraded forms also show chaotic dynamics using three proposed measures of information flow, complexity and sensitivity to initial conditions. A novel $$\hbox {Chaos}_\mathrm{composite}$$ measure is introduced which combines all three measures into a single measure and shows promise for characterising flocking dynamics and potentially swarming dynamics. The measures proposed in this study, therefore, may have potential for predicting and controlling the behaviour of swarm intelligence systems.
Starting Page	23
Ending Page	41
Page Count	19
File Format	PDF
ISSN	19353812
Journal	Swarm Intelligence
Volume Number	9
Issue Number	1
e-ISSN	19353820
Language	English
Publisher	Springer US
Publisher Date	2015-01-29
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Swarm intelligence Swarming Flocking Chaos Chaotic systems Complexity Boids Artificial Intelligence (incl. Robotics) Computer Systems Organization and Communication Networks ApplicationMathematics/Computational Methods of Engineering Communications Engineering, Networks Computer Communication Networks
Content Type	Text
Resource Type	Article
Subject	Artificial Intelligence

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