@inproceedings{Aizawa_Tokita_1990, title = "Zipf Law in Non-linear Dynamics and Neural Nets", author = "Y Aizawa and K Tokita", booktitle = "Proc. Int. Conf. Fuzzy Logic and Neural Networks (IIZUKA '90), Kyushu Institute of Technology, Iizuka, Japan, July 20-24", year = "1990", } @article{Tokita_1993a, title = "Remanent overlaps in the Hopfield model with zero temperature sequential dynamics", author = "K Tokita", journal = "Prog. Theor. Phys.", year = 1993, volume = 90, pages = "329-335", } @article{Tokita_1993b, title = "The Replica Symmetry Breaking Solution and the ``SK limit'' of the Hopfield Model", author = "K Tokita", journal = "J Phys. A: Math. Gen.", year = 1993, volume = 26, pages = "6915-6925", } @article{Tokita_1994, title = "The Replica Symmetry Breaking Solution of the Hopfield Model at Zero Temperature : Critical Storage Capacity and Frozen Field Distribution", author = "K Tokita", journal = "J Phys. A: Math. Gen.", year = 1994, volume = 27, pages = "4413-4424", } @article{Iba_Tokita_Kikuchi_1998, title = "Design Equation : A Novel Approach to Heteropolymer Design", author = "Y Iba and K Tokita and M Kikuchi", journal = "J Phys. Soc. Jpn", year = 1999, volume = 67, pages = "3985-3990", } @article{Tokita_Yasutomi_1999, title = "Mass Extinction in a Dynamical System of Evolution with Variable Dimension", author = "K Tokita and A Yasutomi", journal = "Phys. Rev. E", year = 1999, volume = 60, pages = "842-847", } @article{Tokita_Kikuchi_Iba_2000, title = "Dynamical Equation Approach to Protein Design", author = "K Tokita and M Kikuchi and Y Iba", journal = "Prog. Theor. Phys. Suppl.", year = 2000, volume = 138, pages = "378-383", } @inbook{Tokita_Yasutomi_2000, title = "{P}roceedings from the international conference on complex systems on unifying themes in complex systems", author = "K Tokita and A Yasutomi", chapter = "Extinction Dynamics in a Large Ecological System with Random Interspecies Interactions", publisher = "Perseus Books", address = "Cambridge", pages = "", year = 2000, } @article{Chawanya_Tokita_2002, title = "Large-Dimensional Replicator Equations with Antisymmetric Random Interactions", author = "T Chawanya and K Tokita", journal = "J. Phys. Soc. Jpn.", year = 2002, volume = 71, pages = "429-431", } @article{Tokita_Yasutomi_2003, title = "Emergence of a complex and stable ecosystem in replicator equations with extinction and mutation", author = "K Tokita and A Yasutomi", journal = "Theor. Pop. Biol.", year = 2003, volume = 63, pages = "131-146", } @article{Tokita_2004, title = "Species abundance patterns in complex evolutionary dynamics", author = "K Tokita", journal = "Phys Rev Lett", year = "2004", volume = "93", pages = "178102", } @article{Tokita_2006, title="Statistical mechanics of relative species abundance", author ="K. Tokita", journal="Ecological Informatics", year=2006, volume="1", pages="315-324", note="", } @article{Yoshino_Galla_Tokita_2007, title="Statistical mechanics and stability of a model eco-system", author ="Y Yoshino and T Galla and K Tokita", journal="J. Stat. Mech.", year=2007, pages="P09003", } @article{Yoshino_Galla_Tokita_2008, title="Rank abundance relations in evolutionary dynamics of random replicators", author ="Y Yoshino and T Galla and K Tokita", journal="Phys. Rev. E.", year=2008, pages="031924" } @article{Irie_Tokita_2012, title="Species-area relationship for power-law species abundance distribution", author = "H Irie and K Tokita", journal = "Int. J. Biomath.", year = 2012, pages = "1260024" } @article{Oura_Tokita_2013, title = "GPGPU simulations of 2D lattice neutral models in ecology", author ="T Oura and K Tokita", journal = "J. Phys. Conf. Ser.", year = 2013, pages = "012038", } @article{Yoshida_Tokita_2015, title = "Properties of ecosystems those are vulnerable during eco-fusion", author = "K Yoshida and K Tokita", journal = "Sci. Rep.", year = 2015, volume = 5, pages = "7939", } @article{Tokita_2015a, title = "Analytical theory of species abundance distributions of a random community model", author = "K Tokita", journal = "Popul. Ecol.", year = 2015, volume = 57, doi = "10.1007/s10144-014-0476-8", } @article{Tokita_2015b, title = "Dynamic stability and chaotic multispecies-coexistence in a food web model", author = "K Tokita", journal = "Advances in Science, Technology and Environmentology (ASTE), Special Issue on New Challenges in Complex Systems Science, Research Institute for Science and Engineering, Waseda University", year = 2015, volume = "B11", pages = "59-62", } @article{OKT_2016a, title = "Multiple peaks of species abundance distributions induced by sparse interactions", author = "T Obuchi and Y Kabashima and K Tokita", journal = "Phys. Rev. E", year = 2016, volume = "94", pages = "022312", } @article{OKT_2016b, title = "Relative species abundance of replicator dynamics with sparse interactions", author = "T Obuchi and Y Kabashima and K Tokita", journal = "J. Stat. Mech.", year = 2016, volume = "XX", pages = "XXXX", }