Chaos-order transition in foraging behavior of ants

Proceedings of the National Academy of Sciences of the United States of America

Volumn 111, Issue 23, 2014, Pages 8392-8397

  Li, Lixiang ^a,b   Peng, Haipeng ^a   Kurths, Jürgen ^b   Yang, Yixian ^a,c   Schellnhuber, Hans Joachim ^b,d  

^a Information Security Center State Key Laboratory of Networking and Switching Technology   (United States)

^b POTSDAM INSTITUTE FOR CLIMATE IMPACT RESEARCH   (Germany)

^c BEIJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

^d SANTA FE INSTITUTE   (United States)

Author keywords

Foraging dynamics; Learning process; Low dimensional chaos; Mathematical modeling; Synchronization

Indexed keywords

ANIMAL BEHAVIOR; ANT; ARTICLE; FORAGING BEHAVIOR; INSECT SOCIETY; INTELLIGENCE; KNOWLEDGE; LEARNING; MATHEMATICAL MODEL; PHYSICAL CAPACITY; PRIORITY JOURNAL; PROBLEM SOLVING;

FORAGING DYNAMICS; LEARNING PROCESS; LOW-DIMENSIONAL CHAOS; MATHEMATICAL MODELING; SYNCHRONIZATION;

AGE FACTORS; ALGORITHMS; ANIMALS; ANTS; APPETITIVE BEHAVIOR; COMPUTER SIMULATION; EXPLORATORY BEHAVIOR; FEEDING BEHAVIOR; HOMING BEHAVIOR; MODELS, BIOLOGICAL; PROBLEM SOLVING; SOCIAL BEHAVIOR;

EID: 84902189092     PISSN: 00278424     EISSN: 10916490     Source Type: Journal    
DOI: 10.1073/pnas.1407083111     Document Type: Article

References (25)

1. Couzin ID, Krause J, Franks NR, Levin SA (2005) Effective leadership and decision-making in animal groups on the move. Nature 433(7025):513-516. (Pubitemid 40204306)
2. Edwards AM, et al. (2007) Revisiting Lévy flight search patterns of wandering albatrosses, bumblebees and deer. Nature 449(7165):1044-1048. (Pubitemid 350017586)
3. Bonabeau E, Dorigo M, Theraulaz G (2000) Inspiration for optimization from social insect behaviour. Nature 406(6791):39-42. (Pubitemid 30460201)
4. Dussutour A, Fourcassié V, Helbing D, Deneubourg JL (2004) Optimal traffic organization in ants under crowded conditions. Nature 428(6978):70-73. (Pubitemid 38332358)
5. Wu Y, Zhou CS, Xiao JH, Kurths J, Schellnhuber HJ (2010) Evidence for a bimodal distribution in human communication. Proc Natl Acad Sci USA 107(44):18803-18808.
6. Viswanathan GM, et al. (1996) Levy flight search patterns of wandering albatrosses. Nature 381(6581):413-415.
7. Reynolds AM (2011) On the origin of bursts and heavy tails in animal dynamics. Physica A 390(2):245-249.
8. Travis J (2007) Ecology. Do wandering albatrosses care about math? Science 318(5851):742-743.
9. Viswanathan GM, Raposo EP, da Luz MGE (2008) Lévy flights and superdiffusion in the context of biological encounters and random searches. Phys Life Rev 5(3):133-150.
10. Bunimovich L (2004) Deterministic walks in random environments. Physica D 187(1-4):20-29.
11. Mailleux AC, Detrain C, Deneubourg JL (2005) Triggering and persistence of trail-laying in foragers of the ant Lasius niger. J Insect Physiol 51(3):297-304. (Pubitemid 40307348)
12. Shlesinger MF (1986) On Growth and Form, eds Stanley HF, Ostrowsky N (Nijhoff, Dordrecht, The Netherlands), pp 279-283.
13. Deneubourg JL, Aron S, Goss S, Pasteels JM (1990) The selforganizing Exploratory pattern of the Argentine ant. J Insect Behav 3(2):159-168.
14. Cole BJ (1991) Is animal behavior chaotic? Evidence from the activity of ants. Proc Biol Sci 244(1311):253-259.
15. Solé RV, Miramontes O, Goodwin BC (1993) Oscillations and chaos in ant societies. J Theoret Biol 161(3):343-357.
16. Nemes L, Roska T (1995) A CNN model of oscillation and chaos in ant colonies: A case study. IEEE Trans Circuit Syst I 42(10):741-745.
17. Li LX, Yang YX, Peng HP, Wang XD (2006) An optimization method inspired by 'chaotic' ant behavior. Int J Bifurcat Chaos 16(8):2351-2364.
18. Peng HP, Li LX, Yang YX, Liu F (2010) Parameter estimation of dynamical systems via a chaotic ant swarm. Phys Rev E Stat Nonlin Soft Matter Phys 81(1 Pt 2):016207.
19. Sudd JH (1967) An Introduction to the Behavior of Ants (Univ of Hull St Martin's Press, New York).
20. Herbers JM (1983) Social organization in Leptothorax ants: Within- and between-species patterns. Psyche (Stuttg) 90(4):361-386.
21. Liang ZS, et al. (2012) Molecular determinants of scouting behavior in honey bees. Science 335(6073):1225-1228.
22. Sommer S, von Beeren C, Wehner R (2008) Multiroute memories in desert ants. Proc Natl Acad Sci USA 105(1):317-322.
23. Bonabeau E, Dorigo M, Theraulaz G (1999) Swarm Intelligence: From Natural to Artificial System (Oxford Univ Press, Oxford).
24. Chen L, Aihara K (1995) Chaotic simulated annealing by a neural network model with transient chaos. Neural Netw 8(6):915-930.
25. Aihara K (2002) Chaos engineering and its application to parallel distributed processing with chaotic neural networks. Proc IEEE 90(5):919-930.