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JOURNALS // Regular and Chaotic Dynamics

Regul. Chaotic Dyn., 2008, Volume 13, Issue 6, Pages 543–556 (Mi rcd600)

Integrable Lotka–Volterra systems
O.I. Bogoyavlenskij

This publication is cited in the following articles:
  1. Peter H. van der Kamp, David I. McLaren, G. R. W. Quispel, “On a Quadratic Poisson Algebra and Integrable Lotka – Volterra Systems with Solutions in Terms of Lambert’s $W$ Function”, Regul. Chaotic Dyn., 30:3 (2025), 382–407  mathnet  crossref
  2. Atsushi Nobe, “Exact solutions to SIR epidemic models via integrable discretization”, Journal of Mathematical Physics, 65:7 (2024)  crossref
  3. Peter H. van der Kamp, G. R. W. Quispel, David I. McLaren, “Trees and Superintegrable Lotka–Volterra Families”, Math Phys Anal Geom, 27:4 (2024)  crossref
  4. G R W Quispel, Benjamin K Tapley, D I McLaren, Peter H van der Kamp, “Linear Darboux polynomials for Lotka–Volterra systems, trees and superintegrable families”, J. Phys. A: Math. Theor., 56:31 (2023), 315201  crossref
  5. Wentong Du, Min Xiao, Jie Ding, Yi Yao, Zhengxin Wang, Xinsong Yang, “Fractional-order PD control at Hopf bifurcation in a delayed predator–prey system with trans-species infectious diseases”, Mathematics and Computers in Simulation, 205 (2023), 414  crossref
  6. C A Evripidou, P Kassotakis, P Vanhaecke, “Morphisms and automorphisms of skew-symmetric Lotka–Volterra systems*”, J. Phys. A: Math. Theor., 55:32 (2022), 325201  crossref
  7. Lazureanu C., “Integrable Deformations and Dynamical Properties of Systems With Constant Population”, Mathematics, 9:12 (2021), 1378  crossref  isi  scopus
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  9. Bountis T., Zhunussova Zh., Dosmagulova K., Kanellopoulos G., “Integrable and Non-Integrable Lotka-Volterra Systems”, Phys. Lett. A, 402 (2021), 127360  crossref  mathscinet  isi  scopus
  10. van der Kamp P.H., MClaren D.I., Quispel G.R.W., “Homogeneous Darboux Polynomials and Generalising Integrable Ode Systems”, J. Comput. Dynam., 8:1 (2021), 1–8  crossref  mathscinet  isi  scopus
  11. Helen Christodoulidi, Andrew N. W. Hone, Theodoros E. Kouloukas, “A new class of integrable Lotka–Volterra systems”, JCD, 6:2 (2019), 223  crossref
  12. Charalampos Evripidou, Pavlos Kassotakis, Pol Vanhaecke, “Integrable reductions of the dressing chain”, JCD, 6:2 (2019), 277  crossref
  13. Charalampos A. Evripidou, Peter H. van der Kamp, Cheng Zhang, “Dressing the Dressing Chain”, SIGMA, 14 (2018), 059, 14 pp.  mathnet  crossref
  14. C.A. Evripidou, P. Kassotakis, P. Vanhaecke, “Integrable Deformations of the Bogoyavlenskij–Itoh Lotka–Volterra Systems”, Regul. Chaotic Dyn., 22:6 (2017), 721–739  mathnet  crossref  mathscinet
  15. P. A. Damianou, C. A. Evripidou, P. Kassotakis, P. Vanhaecke, “Integrable reductions of the Bogoyavlenskij-Itoh Lotka-Volterra systems”, Journal of Mathematical Physics, 58:3 (2017)  crossref
  16. T E Kouloukas, G R W Quispel, P Vanhaecke, “Liouville integrability and superintegrability of a generalized Lotka–Volterra system and its Kahan discretization”, J. Phys. A: Math. Theor., 49:22 (2016), 225201  crossref
  17. Tassos Bountis, Pol Vanhaecke, “Lotka–Volterra systems satisfying a strong Painlevé property”, Physics Letters A, 380:47 (2016), 3977  crossref
  18. Pantelis A. Damianou, Hervé Sabourin, Pol Vanhaecke, “Intermediate Toda Systems”, Regul. Chaotic Dyn., 20:3 (2015), 277–292  mathnet  crossref  mathscinet  zmath  adsnasa
  19. S.A. Charalambides, P.A. Damianou, C.A. Evripidou, “On generalized Volterra systems”, Journal of Geometry and Physics, 87 (2015), 86  crossref
  20. Stelios A Charalambides, Pantelis A Damianou, Charalambos A Evripidou, “Generalized Lotka—Volterra systems connected with simple Lie algebras”, J. Phys.: Conf. Ser., 621 (2015), 012004  crossref
  21. S. A. Charalambides, P. A. Damianou, C. A. Evripidou, Springer Proceedings in Mathematics & Statistics, 111, Lie Theory and Its Applications in Physics, 2014, 323  crossref
  22. Pantelis A. Damianou, Fani Petalidou, “On the liouville intergrability of Lotka-Volterra systems”, Front. Phys., 2 (2014)  crossref
  23. Peter H. van der Kamp, Theodoros E. Kouloukas, G. R. W. Quispel, Dinh T. Tran, Pol Vanhaecke, “Integrable and superintegrable systems associated with multi-sums of products”, Proc. R. Soc. A., 470:2172 (2014), 20140481  crossref
  24. Jaume Llibre, Tayeb Salhi, “On the dynamics of a class of Kolmogorov systems”, Applied Mathematics and Computation, 225 (2013), 242  crossref
  25. Valery Kalyagin, Maxim Sokolov, Springer Proceedings in Mathematics & Statistics, 32, Models, Algorithms, and Technologies for Network Analysis, 2013, 107  crossref
  26. Robert S. Maier, “The integration of three-dimensional Lotka–Volterra systems”, Proc. R. Soc. A., 469:2158 (2013), 20120693  crossref
  27. Janusz Zieliński, “The five-variable Volterra system”, centr.eur.j.math., 9:4 (2011), 888  crossref
  28. Oleg Bogoyavlensky, “Method of descent for integrable lattices”, Journal of Mathematical Physics, 50:5 (2009)  crossref


© Steklov Math. Inst. of RAS, 2026