Abstract
When two mosquitoes meet to mate, each modulates its flight tones such that the female’s 3rd and the male’s 2nd harmonic frequencies are equivalent. We show that this phenomenon is an example of synchronization, which is common in nature. The mosquito’s flight tone acts as an external signal, stimulating its partner to adjust the wing beat rhythm to achieve the synchronization state. A simplified model, which is based on the frequency ratio difference feedback mechanism, is proposed to describe the harmonic convergence of mosquitoes. Furthermore, we proposed a method to characterize the energy dissipation in the frequency alteration, and the results demonstrate that 3/2 frequency locking is an optimal selection to mosquitoes. When compared with other possible ratios, the mosquitoes expend minimum energy if they lock the synchronizing state at a ratio of 3/2.
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References
Johnston C, Quart J. Auditory apparatus of the culex mosquito. Microsc Sci, 1855, 3: 97–102
Charlwood D M, Jones D R. Mating behaviour in the mosquito, Anopheles gambiae s. l. I. Close range behaviour. Ecol Entomol, 1979, 4: 111–120
Belton P J. Attraction of male mosquitoes to sound. Am Mosq Contr Assoc, 1994, 10: 297–301
Gibson G, Russell I. Flying in tune: Sexual recognition in mosquitoes. Curr Biol, 2006, 16: 1311–1316
Cator L J, Arthur B J, Harrington L C, et al. Harmonic convergence in the love songs of the dengue vector mosquito. Science, 2009, 323: 1077–1079
Huygens C. Horologium Oscillatorium. Parisiis: Apud F. Muguet, 1673
Fukuda H, Nakamichi N, Hisatsune M, et al. Synchronization of plant circadian oscillators with a phase delay effect of the vein network. Phys Rev Lett, 2007, 99: 098102
Taylor G I. Analysis of the swimming of microscopic organisms. Proc R Soc A, 1951, 209: 447–461
Goldstein R E, Polin M, Tuval I. Noise and synchronization in pairs of beating eukaryotic flagella. Phys Rev Lett, 2009, 103: 168103
Elfring G, Lauga E. Hydrodynamic phase locking of swimming microorganisms. Phys Rev Lett, 2009, 103: 088101
Franovic I, Miljkovic V. Phase plane approach to cooperative rhythms in neuron motifs with delayed inhibitory synapses. Europhys Lett, 2010, 92: 68007
Shilnikov A, Gordon R, Belykh I. Polyrhythmic synchronization in bursting network motifs. Chaos, 2008, 18: 037120
Vasseur D A, Fox J W. Phase-locking and environmental fluctuations generate synchrony in a predator-prey community. Nature, 2009, 460: 1007–1010
Strogatz S. Sync: The Emerging Science of Spontaneous Order. New York: Hyperion, 2003
Lv L, Li Y, Guo Z A. Parameter identification and synchronization of spatiotemporal chaos in an uncertain Gray-Scott system. Sci China Ser G-Phys Mech Astron, 2008, 51: 1638–1646
Yan S L. All-optical and combinational optoelectronic logic gates using chaotic synchronization of coupling-feedback semiconductor lasers and amplitude modulation. Chin Sci Bull, 2011, 56: 1264–1271
Ma J, Wu Y, Ying H P, et al. Channel noise-induced phase transition of spiral wave in networks of Hodgkin-Huxley neurons. Chin Sci Bull, 2011, 56: 151–157
Li M S, Zhang H H, Zhao Y, et al. Synchronization of coupled neurons controlled by a pacemaker. Chin Phys Lett, 2011, 28: 010504
Pennetier C, Warren B, Dabiré K R, et al. Singing on the wing as a mechanism for species recognition in the malarial mosquito Anopheles gambiae. Curr Biol, 2010, 20: 131–136
Gopfert M C, Robert D. Nanometre-range acoustic sensitivity in male and female mosquitoes. Proc Biol Sci, 2000, 267: 453–457
Arnold V I. Small denominators. I. Mappings of the circumference onto itself. Am Math Soc Transl, 1965, 46: 213–284
Donato P F A D, Macau E E N, Grebogi C. Phase locking control in the circle map. Nonlin Dyn, 2007, 47: 75–82
Pikovsky A, Rosenblum M, Kurths J. Synchronization: A Universal Concept in Nonlinear Sciences. New York: Cambridge University Press, 2001
Chen C T. Linear System Theory and Design. New York: Oxford University Press, 1999
Sarasola C, Torrealdea F J, D’Anjou A, et al. Cost of synchronizing different chaotic systems. Math Comput Simul, 2002, 58: 309–327
Sarasola C, Torrealdea F J, D’Anjou A, et al. Energy balance in feedback synchronization of chaotic systems. Phys Rev E, 2004, 69: 011606
Ma J, Huang L, Xie Z B, et al. Simulated test of electric activity of neurons by using Josephson junction based on synchronization scheme. Commun Nonlin Sci Numer Simul, 2012, 17: 2659–2669
Gopfert M C, Robert D. Active auditory mechanics in mosquitoes. Proc R Soc Lond B, 2001, 268: 333–336
Warren B, Lukashkin A N, Russell I J. The dynein-tubulin motor powers active oscillations and amplification in the hearing organ of the mosquito. Proc R Soc B, 2010, 277: 1761–1769
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Yang, N., Long, Z. & Wang, F. Harmonic synchronization model of the mating dengue vector mosquitoes. Chin. Sci. Bull. 57, 4043–4048 (2012). https://doi.org/10.1007/s11434-012-5445-z
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DOI: https://doi.org/10.1007/s11434-012-5445-z