How birds fly together: The dynamics of flocking

Dutta, Kishore

doi:10.1007/s12045-010-0122-5

Cited by 14 publications

(10 citation statements)

References 20 publications

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“…Flocking dynamics of birds or general agents have been studied extensively [Dutta 2010], [Chazelle 2012], [Dalmao 2011], [Yong 2013], [T. Johnson 2010]. Some of the fundamental characteristics of flocking are as follows:…”

Section: B2 Flocking Dynamic Modelsmentioning

confidence: 99%

Runtime Assurance Framework Development for Highly Adaptive Flight Control Systems

Schierman¹,

DeVore²,

Richards³

et al. 2015

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The public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Department of Defense, Washington Headquarters Services, Directorate for Information AFRL/RQQA SPONSORING/MONITORING AGENCY REPORT NUMBER(S) AFRL-RQ-WP-TR-2016-0001 DISTRIBUTION/AVAILABILITY STATEMENTApproved for public release; distribution unlimited. SUPPLEMENTARY NOTESThis is a Small Business Innovation Research (SBIR) Phase III report. Barron Associates, Inc. has waived its SBIR data rights, and the report has been approved for public release (PA Case Number: 88ABW-2016-1452; Clearance Date: 11 March 2016). ABSTRACTThis report was developed under a SBIR contract. This report describes the technical progress made by Barron Associates, Inc. and its partners in runtime assurance (RTA) systems, which hold the promise of protecting advanced systems that cannot be fully certified at design time due to their inherent complexity. A number of technical hurdles remain in the implementation of RTA systems for highly complex safety-critical systems, and the main objective of this effort was to further address these issues. One main focus of this project was to investigate the necessary structure of RTA frameworks for multi-level interacting feedback systems. As such, a challenge problem was constructed for a fleet of unmanned aircraft systems (UASs) performing a surveillance mission. The demonstration platform consisted of RTA systems for the inner-loop control, outer-loop guidance, ownship flight management, and fleet mission planning elements. The framework design and certification requirements for such a system were explored in this program. For the inner-loop, the concept of employing multiple transition controllers in the reversionary control system was studied. For all feedback levels, the required RTA checks were developed and the critical reversionary switching conditions defined. The interactions between the RTA protected systems and certified collision avoidance systems were also investigated. A safety case argument for design-time certification of the RTA protected systems was constructed using subsystem requirements contracts that were developed from a compositional reasoning approach explored over the course of the project.

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Section: B2 Flocking Dynamic Modelsmentioning

confidence: 99%

Runtime Assurance Framework Development for Highly Adaptive Flight Control Systems

Schierman¹,

DeVore²,

Richards³

et al. 2015

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“…overall system consists of n = 100 elemental particles. They are randomly located on the xy space, according to a uniform probability distribution (9), where 0 ≤ rnd ≤ 1 is a random number generator.…”

Section: System Simulation and Behaviour Analysismentioning

confidence: 99%

“…Figure 1 represents a particular random distribution of n = 100 particles on the plane, according to (9). The cluster size also depends on the particles' spatial distribution and threshold r .…”

Section: System Simulation and Behaviour Analysismentioning

confidence: 99%

“…Each elemental system has its own dynamics but, when interaction exists, the individual behaviour tends to be relaxed, and a collective behaviour emerges. Such kind of phenomenon is common in nature as well as in man-made systems [5,6,9,19,32]. For example, it is well known that collective behaviours emerge in colonies of birds, fish, and bees, where each individual adapts its own motion to a common pattern.…”

Section: Introductionmentioning

confidence: 99%

“…For example, it is well known that above the Curie temperature, neighbouring magnetic spins in a paramagnetic material display a completely disordered state. At the Curie temperature, they suddenly align to each other, pointing toward the same direction, and the material becomes ferromagnetic [9].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Dynamical behaviour of multi-particle large-scale systems

Lopes

Machado

2012

Nonlinear Dyn

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Collective behaviours can be observed in both natural and man-made systems composed of a large number of elemental subsystems. Typically, each elemental subsystem has its own dynamics but, whenever interaction between individuals occurs, the individual behaviours tend to be relaxed, and collective behaviours emerge. In this paper, the collective behaviour of a large-scale system composed of several coupled elemental particles is analysed. The dynamics of the particles are governed by the same type of equations but having different parameter values and initial conditions. Coupling between particles is based on statistical feedback, which means that each particle is affected by the average behaviour of its neighbours. It is shown that the global system may unveil several types of collective behaviours, corresponding to partial synchronisation, characterised by the existence of several clusters of synchronised subsystems, and global synchronisation between particles, where all the elemental particles synchronise completely.

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Hunting in groups

Dutta¹

2014

Reson

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How birds fly together: The dynamics of flocking

Cited by 14 publications

References 20 publications

Runtime Assurance Framework Development for Highly Adaptive Flight Control Systems

Runtime Assurance Framework Development for Highly Adaptive Flight Control Systems

Dynamical behaviour of multi-particle large-scale systems

Hunting in groups

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