Part1
[1] T. Vicsek, A. Czirok, E. Ben-Jacob, I. Cohen, O. Shochet, Novel type of phase transition in a system of self-driven particles, Phys. Rev. Lett.75, 1226–1229 (1995).
[2] M. Ballerini, N. Cabibbo,R. Candelier, A. Cavagna, E. Cisbani, I. Giardina et al. , Interaction ruling animal collective behavior depends on topological rather than metric distance: evidence from a field study, Proc. Natl. Acad. Sci. USA 105, 1232–1237 (2008).
[3] J. K. Parrish and L. Edelstein-Keshet, Complexity, Pattern, and Evolutionary Trade-O↵s in Animal Aggregation, Science 284, 99-101(1999).
[4] J. Buhl, D. J. T. Sumpter, I. D. Couzin, J. J. Hale, E. Despland, E. R. Miller, S. J. Simpson, From disorder to order in marching locusts, Science 312, 1402-1406 (2006).
[5] E. M´ehes and T. Vicesk, Collective motion of cells: from experiments to models Integr. Biol. 6, 831-854 (2014).
[6] N. Shimoyama, T. Mizuguchi, Y. Hayakawa and M. Sano. Collective Motion in a System of Motile Elements, Phys. Rev. Lett., 76(20), )2870- 3873 (1996).
[7] J. Toner and Y. Tu, Flocks, herds, and schools: A quantitative theory of flocking , Phys. Rev. R 58(4), 4828- 4858 (1998).
[8] A. Czir´ok and T. Vicsek, Collective behavior of interacting self-propelled particles, Physica A, 281, 17-29 (2000).
[9] H. Kevine, W.-J. Pappel and I. Cohenm Self-organization in systems of self-propelled particles , Phys. Rev. E, 63, 017101 (200).
[10] T. Niisato and Y.-P. Gunji, Metric-topological interaction model of collective behavior, Ecological Modelling, 222, 3041-3049 (2011).
[11] H. .E. Ribeiro and F. Q. Potiguar, Active matter in lateral parabolic confinement: From subdi↵usion to superdi↵usion, Physica A, 462, 1294- 1300 (2016).
[12] A. .E. B. T. King and M. S. Tumerm Non-local interactions in collective motion, R. .Soc. Open Sci., 8, 201536 (2021).
[13] T. Sanchez,D. T. Chen, S. J. Decamp, M. Heymann and Z. Dogic, Spontaneous motion in hierarchically assembled active matter, Nature 491, 431-434 (2012).
[14] Y. Hong, D. Velegol, N. Chatuvedi and A. Sen, Biomimetic behavior of synthetic particles: from microscopic randomness to macroscopic control, Phys. Chem. Chem. Phys., 23, 1423-1435 (2010).
[15] Y. Sumino, K. H. Nagai, Y. Shitaka, D. Tanaka, K. Yoshikawa, H. Chat´e, K. Oiwa, Large-scale vortex lattice emerging from collectively moving microtubules, Nature 483, 448-452 (2012).
[16] N. Kumar, H. Soni, S. Ramaswamy and A. K. Sood, Flocking at a distance in active granular matter, Nature Communications 5, 4688 (2014).
[17] H. R. Jiang, N. Yoshinaga, M. Sano, Active Motion of a Janus Particle by Self-Thermophoresis in a Defocused Laser Beam, Phys. Rev. Lett. 105 (2010) 268302.
[18] I. Buttinoni, J. Bialk´e, F. K ˙ummel, H. L˙owen, C. Bechinger, T. Speck, Dynamical clustering and phase separation in suspensions of self- propelled colloidal particles, Phys. Rev. Lett. 110, 1-8 (2013).
[19] S. Nakata, Y. Iguchi, S. Ose, M. Kuboyama,T. Ishii and K. Yoshikawa, Self-Rotation of a Camphor Scraping on Water; New Insight into the Old Problem, Langmuir 13, 4454 (1997).
[20] Y. Sumino, N. Magome, T. Hamada and K. Yoshikawa, Self-Running Droplet: Emergence of Regular Motion from Nonequilibrium Noise, Phys. Rev. Lett., 94, 068301 (2005).
[21] K. Nagai, Y. Sumino, H. Kitahata, and K. Yoshikawa, Mode selection in the spontaneous motion of an alcohol droplet, Phys. Rev. E ,71, 065301(R) (2005).
[22] N. J. Suematsu, S. Nakata, A. Awazu and H. Nishimori, Collective behavior of inanimate boats, Phys. Rev. E, 81, 056210 (2010).
[23] E. Heisler, N. J. Suematsu, A. Awazu, and H. Nishimori, Swarming of self-propelled camphor boats, Phys. Rev. E, 85, 055201(R) (2012).
[24] S. Soh, K. J. M. Bishop and B. A. Grzybowski Dynamic Self-Assembly in Ensembles of Camphor Boats, J. Phys. Chem. B, 112, 10848–10853 (2008).
[25] S. Soh, M. Branicki and B. A. Grzybowski, Swarming in Shallow Waters, J. Phys. Chem. Lett., 2, 770–774 (2011).
[26] N. J. Suematsu, K. Tateno, S. Nakata, H. Nishimori, Synchronized Intermittent Motion Induced by the Interaction between Camphor Disks, J. Phys. Soc. Jpn., 84, 034802 (2015).
[27] S. Tanaka, S. Nakata and T. Kano, Dynamic ordering in a swarm of floating droplets driven by solutal Marangoni e↵ect, J. Phys. Soc. Jpn., 86, 101004 (2017).
[28] E. Heisler, N. J. Suematsu, A. Awazu, and H. Nishimori, Collective Motion and Phase Transitions of Symmetric Camphor Boats, J. Phys. Soc. Jpn., 81, 074605 (2012).
[29] Y. Matsuda, K. Ikeda, Y. S. Ikura, H. Nishimori and N. J. Suematsu, Dynamical Quorum Sensing in Non-Living Active Matter, J. Phys. Soc. Jpn., 88, 093002 (2019)
[30] M. Kim, M. Okamoto, Y. Yasugahira, S. Tanaka, S. Nakata, Y. Kobayashi and M. Nagayama, A reaction-di↵usion particle model for clustering of self-propelled oil droplets on a surfactant solution, Physica D, 425, 132949(2021).
[31] S. Nakata, M. Nagayama, H. Kitahata, N. J. Suematsu, T. Hasegawa, Physicochemical design and analysis of self-propelled objects that are characteristically sensitive to environments, Phys. Chem. Chem. Phys., 17, 10326–10338 (2015),
[32] M. Nagayama, S. Nakata, Y. Doi and Y. Hayashima, A theoretical and experimental study on the unidirectional motion of a camphor disk, Physica D, 194, 151–165 (2004).
[33] Y. Koyano, N. Yoshinaga, and H. Kitahata, General criteria for determining rotation or oscillation in a two-dimensional axisymmetric system, J. Chem. Phys., 143, 014117/1-6 (2015).
[34] Y. Koyano, T. Sakurai, and H. Kitahata, Oscillatory motion of a camphor grain in a one-dimensional finite region, Phys. Rev. E, 94, 042215 (2016).
[35] Y. Koyano, N. J. Suematsu, and H. Kitahata, Rotational motion of a camphor disk in a circular region, Phys. Rev. E, 99, 022211 (2019).
[36] D. Boniface, C. Cottin-Bizonne, R. Kervil, C. Ybert, and F. Detcheverry, Self-propulsion of symmetric chemically active particles: Pointsource model and experiments on camphor disks, Phys. Rev. E, 99, 062605 (2019).
[37] M. Okamoto, T. Gotoda, and M. Nagayama, Global existence of a unique solution and a bimodal travelling wave solution for the 1D particle-reaction-di↵usion system, J. Phys. Commun., 5, 055016 (2021).
[38] M. Okamoto, T. Gotoda and M. Nagayama, Existence and nonexistence of asymmetrically rotating solutions to a mathematical model 31 of self-propelled motion, Japan J. Indust. Appl. Math., 37(3), 883-912 (2020).
[39] J. Fan, M. Nagayama, G. Nakamura, M. Okamoto, A weak solution for a point mass camphor motion, Di↵erential Integral Equations 33(7-8), 431-443 (2020).
[40] Y. S. Ikura, E. Heisler, A. Awazu, H. Nishimori and S. Nakata, Collective motion of symmetric camphor papers in an annular water channel, Phys. Rev. E, 88, 012911 (2013).
[41] K. Nishi, T. Ueda, M. Yoshii, Y. S. Ikura, H. Nishimori, S. Nakata and M. Nagayama, Bifurcation phenomena of two self-propelled camphor disks on an annular field depending on system length, Phys. Rev. E 92, 022910 (2015).
[42] K.T. Alligood, T.D. Sauer, J.A. Yorke, Chaos: An Introduction to Dynamical Systems, Springer (1996).
[43] V.S. Anishchenko, V. Astakhov, A. Neiman, T. Vadivasova and L. Schimansky-Geier, Nonlinear dynamics of chaotic and stochastic systems. Tutorial and Modern Developments, Springer (2007).
[44] M. Balcerzak, D. Pikunov and A. Dabrowski, The fastest, simplified method of Lyapunov exponents spectrum estimation for continuous-time dynamical systems, Nonlinear Dyn. 94, 3053-3065 (2018).
[45] S. Newhouse, D. Ruelle and F. Takens Occurrence of strange Axiom A attractors near quasiperiodic flows on T m, m 3, Communications in Mathematical Physics, 64(1), 35-40, (1978)
[46] E. Hairer and G. Wanner, ROS4, http://www.unige.ch/~hairer/ prog/stiff/Oldies/ros4.f, accessed: 2021-08-28 (1992).
[47] E. Hairer, Fortran Codes, http://www.unige.ch/~hairer/software. html, accessed: 2021-08-28.
[48] E. Hairer, S. P. Nørsett and G. Wanner, Solving Ordinary Di↵erential Equations II: Sti↵ and Di↵erential-Algebraic Problems, 2nd Edition, Springer (1996).
[49] E. Hairer and G. Wanner, Solving Ordinary Di↵erential Equations II: Sti↵ and Di↵erential-Algebraic Problems, 2nd Edition, Springer (1996).
[50] H.B. Keller, Lectures on numerical methods in bifurcation problems, Applied Mathematics, 217, 50 (1987).
[51] G. Guennebaud, B. Jacob and others, Eigen, http://eigen. tuxfamily.org, accessed: 2021-08-28 (2010).
[52] B.T. Smith, J.M. Boyle, J.J. Dongarra, B.S. Garbow, Y. Ikebe, V.C. Klema and C.B. Moler, Matrix Eigensystem Routines, EISPACK Guide, Lecture Notes in Computer Science , Volume 6, Springer Verlag (1976).
[53] R.B. Lehoucq, D.C. Sorensen and C. Yang, ARPACK Users Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods, SIAM (1998).
[54] H. B. Keller, Numerical Methods for Two-Point Boundary Value Problems, Blaisdell, Waltham (1968).
[55] L. B. Rall, Automatic Di↵erentiation: Techniques and Applications, Springer (1981).
Part2
[1] Y. Yasugahira, Y. Tatsumi, O. Yamanaka, H. Nishimori, M. Nagayama, S. Nakata, Catch and Release Chemotaxis, ChemSystemsChem e2100031 (2021).
[2] J. Adler, Chemotaxis in Bacteria, Science, 153, 3737, 708-716 (1966).
[3] C. A. Parent, P. N. Devreotes, A Cell’s Sense of Direction, Science, 284, 5415, 765-770 (1999).
[4] A. V. Vorotnikov, Chemotaxis: Movement, direction, control, 76, 1528–1555 (2011).
[5] G. L. Hazelbauer, Bacterial Chemotaxis: The Early Years of Molecular Studies, Annual Review of Microbiology, 66, 285-303 (2012).
[6] S. Bi, V. Sourjik, Stimulus sensing and signal processing in bacterial chemotaxis, Current Opinion in Microbiology, 45, 22-29 (2019).
[7] I. Lagzi, S. Soh, P. J. Wesson, K. P. Browne, B. A. Grzybowski, Maze Solving by Chemotactic Droplets, Journal of the American Chemical Society, 132, 1198–1199 (2010).
[8] J. Palacci, C. Cottin-Bizonne, C. Ybert, L. Bocquet, Osmotic traps for colloids and macromolecules based on logarithmic sensing in salt taxis, Soft Matter, 8, 980–994 (2012).
[9] K. K. Dey, S. Bhandari, D. Bandyopadhyay, S. Basu, A. Chattopadhyay, The pH Taxis of an Intelligent Catalytic Microbot, Small, 9, 1916–1920 (2013).
[10] J. Cejkov´a, M. Nov´ak, F. ˇ Stˇep´anek, M. M. Hanczyc, ˇ Dynamics of Chemotactic Droplets in Salt Concentration Gradients, Langmuir, 30, 11937–11944 (2014).
[11] P. Lovass, M. Branicki, R. T´oth, A. Braun, K. Suzuno, D. Ueyama, I. Lagzi, Maze solving using temperature-induced Marangoni flow, RSC Advances, 5, 48563–48568 (2015).
[12] C. Jin, C. Kr¨uger, C. C. Maas, Chemotaxis and autochemotaxis of selfpropelling droplet swimmers, PNAS, 114, 5089–5094 (2017).
[13] A. Joseph, C. Contini, D. Cecchin, S. Nyberg, L. Ruiz-Perez, J. Gaitzsch, G. Fullstone, X. Tian, J. Azizi, J. Preston, G. Volpe, G. Battaglia, Chemotactic synthetic vesicles: Design and applications in blood-brain barrier crossing, Science Advances, 3, e1700362 (2017).
[14] B. Liebchen, H. L¨owen, Synthetic Chemotaxis and Collective Behavior in Active Matter, Accounts of Chemical Research, 51 (12), 2982-2990 (2018).
[15] S. Holler, C. Porcelli, I. A. Ieropoulos, M. M. Hanczyc, Transport of Live Cells Under Sterile Conditions Using a Chemotactic Droplet, Scientific Reports, 8, 8408(2018).
[16] Y. Ji, X. Lin, Z. Wu, Y. Wu, W. Gao, Q. He, Macroscale Chemotaxis from a Swarm of Bacteria-Mimicking Nanoswimmers, Angewandte Chemie International Edition, 58, 12200–12205 (2019), Angewandte Chemie, 131, 12328–12333 (2019).
[17] L. Baraban, S. M. Harazim, S. Sanchez, O. G. Schmidt, Chemotactic Behavior of Catalytic Motors in Microfluidic Channels, Angewandte Chemie International Edition, 52, 5552-5556 (2013), Angewandte Chemie, 125, 5662–5666 (2013).
[18] S. Nakata, M. Nagayama, H. Kitahata, N. J. Suematsu, T. Hasegawa, Physicochemical design and analysis of self-propelled objects that are characteristically sensitive to environments, Physical Chemistry Chemical Physics, 17, 10326–10338 (2015).
[19] N. J. Suematsu, S. Nakata, Evolution of Self-Propelled Objects: From the Viewpoint of Nonlinear Science, Chemistry - A European Journal, 24, 6308 (2018).
[20] Self-Organized Motion: Physicochemical Design Based on Nonlinear Dynamics (Edited by S. Nakata, V. Pimienta, I. Lagzi, H. Kitahata, N. J. Suematsu), The Royal Society of Chemistry, Cambridge (2019).
[21] S. Nakata, Y. Irie, N. J. Suematsu, Self-Propelled Motion of a Coumarin Disk Characteristically Changed in Couple with Hydrolysis on an Aqueous Phase, The Journal of Physical Chemistry B, 123, 4311-4317 (2019).
[22] Y. Satoh, Y. Sogabe, K. Kayahara, S. Tanaka, M. Nagayama, S. Nakata, Self-inverted reciprocation of an oil droplet on a surfactant solution, Soft Matter, 13, 3422-3430 (2017).
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