Dynamical aspects of animal grouping: swarms, schools, flocks, and herds.

[1]  C. Christy,et al.  THE AFRICAN BUFFALO , 1923 .

[2]  G. Fraenkel.  Orientation of Animals , 1940 .

[3]  Claude E. Shannon,et al.  The mathematical theory of communication , 1950 .

[4]  J. G. Skellam.  Random dispersal in theoretical populations , 1951, Biometrika.

[5]  C. Patlak,et al.  A mathematical contribution to the study of orientation of organisms , 1953 .

[6]  C. Patlak.  Random walk with persistence and external bias , 1953 .

[7]  John James,et al.  The Distribution of Free-Forming Small Group Size , 1953 .

[8]  C. Breder.  Equations Descriptive of Fish Schools and Other Animal Aggregations , 1954 .

[9]  H. J. SAYER.  A Photographic Method for the Study of Insect Migration , 1956, Nature.

[10]  S. Springer.  Some Observations of the Behavior of Schools of Fishes in the Gulf of Mexico and Adjacent Waters , 1957 .

[11]  John James,et al.  The Equilibrium Size Distribution of Freely-Forming Groups , 1961 .

[12]  H. White.  Chance Models of Systems of Casual Groups , 1962 .

[13]  Ecology of Insect Swarms. IV. Comparison of the Swarms of Two Closely Related Midges, Anarete johnsoni and A. sp. near johnsoni (Diptera: Cecidomyiidae) , 1963 .

[14]  D. Cushing,et al.  Studies on a Calanus Patch I. The Identification of a Calanus patch , 1963, Journal of the Marine Biological Association of the United Kingdom.

[15]  On the fine-scale structure of vector fields convected by a turbulent fluid , 1963 .

[16]  A. Clements.  The physiology of mosquitoes , 1963 .

[17]  S. H. Crandall.  Perturbation Techniques for Random Vibration of Nonlinear Systems , 1963 .

[18]  Thomas K. Caughey,et al.  Derivation and Application of the Fokker-Planck Equation to Discrete Nonlinear Dynamic Systems Subjected to White Random Excitation , 1963 .

[19]  L. A. Goodman.  Mathematical Methods for the Study of Systems of Groups , 1964, American Journal of Sociology.

[20]  H. A. Baldwin,et al.  Methods for measuring the three-dimensional structure of fish schools. , 1965, Animal behaviour.

[21]  K. M. Glover,et al.  Multiwavelength backscatter from the clear atmosphere , 1966 .

[22]  W. R. Buckland,et al.  Stochastic Models for Social Processes , 1967 .

[23]  Morikazu Toda,et al.  Wave Propagation in Anharmonic Lattices , 1967 .

[24]  M. Toda.  Vibration of a Chain with Nonlinear Interaction , 1967 .

[25]  H. C. Chiang.  Ecology of Insect Swarms. V. Movement of Individual Midges, Anarete pritchardi, within a Swarm , 1968 .

[26]  J. Hunter,et al.  Communication of velocity changes in jack mackerel (Trachurus symmetricus) schools , 1969 .

[27]  J. A. Downes.  The Swarming and Mating Flight of Diptera , 1969 .

[28]  G. B. Pitman,et al.  AGGREGATION BEHAVIOR OF DENDROCTONUS PONDEROSAE (COLEOPTERA: SCOLYTIDAE) IN RESPONSE TO CHEMICAL MESSENGERS , 1969, The Canadian Entomologist.

[29]  L. Segel,et al.  Initiation of slime mold aggregation viewed as an instability. , 1970, Journal of theoretical biology.

[30]  Measurement of point target speeds with incoherent non-tracking radar: Insect speeds in atmospheric waves , 1970 .

[31]  P. Wiebe.  SMALL-SCALE SPATIAL DISTRIBUTION IN OCEANIC ZOOPLANKTON† , 1970 .

[32]  L. Segel,et al.  Traveling bands of chemotactic bacteria: a theoretical analysis. , 1971, Journal of theoretical biology.

[33]  C. H. Fernando,et al.  Microaggregation of the cladoceran Ceriodaphnia affinis Lilljeborg with a possible reason for microaggregations of zooplankton. , 1971, Canadian journal of zoology.

[34]  Joel E. Cohen,et al.  Mathematics of Social Dynamics. (Book Reviews: Casual Groups of Monkeys and Men. Stochastic Models of Elemental Social Systems) , 1971 .

[35]  W. Hamilton.  Geometry for the selfish herd. , 1971, Journal of theoretical biology.

[36]  L. Segel,et al.  Model for chemotaxis. , 1971, Journal of theoretical biology.

[37]  R. Nossal.  Boundary movement of chemotactic bacterial populations , 1972 .

[38]  G. Csanady.  Turbulent Diffusion in the Environment , 1973 .

[39]  H. Pulliam,et al.  On the advantages of flocking. , 1973, Journal of theoretical biology.

[40]  T. J. Pitcher,et al.  The three-dimensional structure of schools in the minnow, Phoxinus phoxinus (L.) , 1973 .

[41]  D. V. Radakov.  Schooling in the ecology of fish , 1973 .

[42]  Willis Ratzlaff.  Swarming in Moina affinis , 1974 .

[43]  T. T. Soong,et al.  Random differential equations in science and engineering , 1974 .

[44]  M. Fasham,et al.  An investigation of the spatial pattern of zooplankton using the Longhurst-Hardy plankton recorder , 1974 .

[45]  Gerald Rosen,et al.  On the Propagation Theory for Bands of Chemotactic Bacteria , 1974 .

[46]  N. Goel,et al.  Stochastic models in biology , 1975 .

[47]  A. Shorrocks.  On Stochastic Models of Size Distributions , 1975 .

[48]  Gerald Rosen,et al.  On the stability of steadily propagating bands of chemotactic bacteria , 1975 .

[49]  D. Hsieh.  Variational methods and nonlinear forced oscillations , 1975 .

[50]  G. Rosen.  Analytical solutions to the initial-value problem for traveling bands of chemotactic bacteria. , 1975, Journal of theoretical biology.

[51]  C DeLisi,et al.  The kinetics of aggregation phenomena. I. Minimal models for patch formation of lymphocyte membranes. , 1976, Journal of theoretical biology.

[52]  Charles B. Miller,et al.  Small-scale horizontal distribution of coastal copepods , 1976 .

[53]  G. M. Odell,et al.  Traveling bands of chemotactic bacteria revisited , 1976 .

[54]  N. Kampen,et al.  A soluble model for diffusion in a bistable potential , 1977 .

[55]  Akira Okubo,et al.  ACCELERATION FIELD OF INDIVIDUAL MIDGES, ANARETE PRITCHARDI (DIPTERA: CECIDOMYIIDAE), WITHIN A SWARM , 1977, The Canadian Entomologist.

[56]  F. Oosawa,et al.  Behavior of micro-organisms as particles with internal state variables. , 1977, Journal of theoretical biology.

[57]  W. Hamner,et al.  Chemosensory tracking of scent trails by the planktonic shrimp Acetes sibogae australis. , 1977, Science.

[58]  Wilfred D. Iwan,et al.  On the existence and uniqueness of solutions generated by equivalent linearization , 1978 .

[59]  J. J. L. Higdon,et al.  Induced Drag of a Bird Flock , 1978, The American Naturalist.

[60]  A. Okubo,et al.  Coupling of Midge Individuals in a Swarm, Anarete pritchardi (Diptera: Cecidomyiidae) , 1978 .

[61]  K. Matsuo.  Brownian motion of nonlinear oscillators: The projection operator method and its application to a double-well-potential oscillator , 1978 .

[62]  Ian P. Woiwod,et al.  THE DENSITY-DEPENDENCE OF SPATIAL BEHAVIOUR AND THE RARITY OF RANDOMNESS , 1978 .

[63]  John P. Boyd,et al.  A Chebyshev polynomial method for computing analytic solutions to eigenvalue problems with application to the anharmonic oscillator , 1978 .

[64]  J. R. Powell,et al.  Ecological Variables Affecting the Dispersal Behavior of Drosophila pseudoobscura and Its Relatives , 1979, The American Naturalist.

[65]  H. Fischer.  Mixing in Inland and Coastal Waters , 1979 .

[66]  D. Mackas,et al.  Spectral Analysis of Zooplankton Spatial Heterogeneity , 1979, Science.

[67]  C. Herrera.  Ecological aspects of heterospecific flocks formation in a Mediterranean passerine bird community , 1979 .

[68]  S. H. Crandall.  Non-gaussian closure for random vibration of non-linear oscillators , 1980 .

[69]  P. Hebert,et al.  Induced swarming in the predatory copepod Heterocope septentrionalis1 , 1980 .

[70]  W. Foster,et al.  The effects of group size on predator avoidance in a marine insect , 1980, Animal Behaviour.

[71]  A. Okubo,et al.  Interaction of Male and Female Midges, Anarete pritchardi Kim, Leading to Coupling , 1980 .

[72]  A. Ōkubo,et al.  Di?usion and ecological problems: mathematical models , 1980 .

[73]  B. Partridge.  The effect of school size on the structure and dynamics of minnow schools , 1980, Animal Behaviour.

[74]  Turning Motion of Individual Midges, Anarete pritchardi, in Swarms1 , 1980 .

[75]  A. Ōkubo,et al.  Use of Shadows for Studying the Three-Dimensional Structure of Insect Swarms , 1981 .

[76]  Robert T. Sullivan.  Symposium: Insect Behavioral Ecology--'80: Insect Swarming and Mating , 1981 .

[77]  I. Lapidus.  Chemosensory responses of microorganisms: Asymmetric diffusion as the limit of a biased random walk , 1981 .

[78]  N. Kampen,et al.  Stochastic processes in physics and chemistry , 1981 .

[79]  Mathematical modelling of turbulent diffusion in the environment : Edited by C.J. Harris Academic Press, London, 1979, 500 pp, £18 , 1981 .

[80]  Mark A. Elgar,et al.  Flocking and predator surveillance in house sparrows: Test of an hypothesis , 1981, Animal Behaviour.

[81]  Behavior of microorganisms and internal state variables , 1981 .

[82]  W. Foster,et al.  Group transmission of predator avoidance behaviour in a marine insect: The trafalgar effect , 1981, Animal Behaviour.

[83]  D. Schneider.  Fronts and Seabird Aggregations in the Southeastern Bering Sea , 1982 .

[84]  Makoto Omori,et al.  Patchy distribution of zooplankton: Behavior, population assessment and sampling problems , 1982 .

[85]  L. Segel,et al.  Models of the influence of predation on aspect diversity in prey populations , 1982, Journal of mathematical biology.

[86]  P. Greenblatt.  Small-scale horizontal distributions of zooplankton taxa , 1982 .

[87]  Thomas Caraco,et al.  The scanning behavior of juncos: A game-theoretical approach , 1982 .

[88]  Lee A. Segel,et al.  Mathematical models in molecular and cellular biology , 1982, The Mathematical Gazette.

[89]  Joseph De Vita,et al.  Arthropod Encounter Rate: A Null Model Based on Random Motion , 1982, The American Naturalist.

[90]  Adi R. Bulsara,et al.  Spectral analysis of a nonlinear oscillator driven by random and periodic forces. I. Linearized theory , 1982 .

[91]  Forced Oscillations of System with Nonlinear Restoring Force , 1983 .

[92]  H. Ueda,et al.  Underwater observations on copepod swarms in temperate and subtropical waters , 1983 .

[93]  C. Goldman,et al.  Observations of copepod swarms in Lake Tahoe1 , 1983 .

[94]  Peter Wirtz,et al.  Group Sizes of Antelopes in an East African National Park , 1983 .

[95]  H. Whitehead.  Structure and stability of humpback whale groups off Newfoundland , 1983 .

[96]  R. W. Gilmer,et al.  Behavior of Antarctic Krill, Euphausia superba: Chemoreception, Feeding, Schooling, and Molting , 1983, Science.

[97]  G. Ananthakrishna,et al.  Diffusion in a bistable potential: A comparative study of different methods of solution , 1983 .

[98]  Peter L. Tyack,et al.  MALE COMPETITION IN LARGE GROUPS OF WINTERING HUMPBACK WHALES , 1983 .

[99]  G. Paffenhöfer,et al.  Effects of feeding experience in the copepod Eucalanus pileatus: a cinematographic study , 1984 .

[100]  W. Potts.  The chorus-line hypothesis of manoeuvre coordination in avian flocks , 1984, Nature.

[101]  K. Koltes.  Temporal patterns in three-dimensional structure and activity of schools of the Atlantic silverside Menidia menidia , 1984 .

[102]  D. Lendrem,et al.  Vigilance and scanning patterns in birds , 1984, Animal Behaviour.

[103]  W. F. Wu,et al.  CUMULANT-NEGLECT CLOSURE FOR NON-LINEAR OSCILLATORS UNDER RANDOM PARAMETRIC AND EXTERNAL EXCITATIONS , 1984 .

[104]  William J. Bell,et al.  Chemical Ecology of Insects , 1985, Springer US.

[105]  M. Ernst,et al.  Kinetics of reversible polymerization , 1984 .

[106]  H. Risken.  Fokker-Planck Equation , 1984 .

[107]  Werner Horsthemke,et al.  Noise-induced transitions , 1984 .

[108]  Lee A. Segel,et al.  Modeling Dynamic Phenomena in Molecular and Cellular Biology , 1984 .

[109]  Alexander Rm,et al.  The maximum forces exerted by animals. , 1985 .

[110]  Vincenzo Capasso,et al.  Mathematics in Biology and Medicine , 1985 .

[111]  A. Ōkubo,et al.  Microzones surrounding phytoplankton form the basis for a stratified marine microbial ecosystem , 1985, Nature.

[112]  E. A. Shinn,et al.  Technique for 3-D Analysis of Cheumatopsyche pettiti (Trichoptera: Hydropsychidae) Swarms , 1986 .