PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Czasopismo
2012 | 10 | 2 | 398-404
Tytuł artykułu

Application of Jacobi’s last multiplier for construction of Hamiltonians of certain biological systems

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The relationship between Jacobi’s last multiplier and the Lagrangian of a second-order ordinary differential equation is quite well known. In this article we demonstrate the significance of the last multiplier in Hamiltonian theory by explicitly constructing the Hamiltonians of certain well known first-order systems of differential equations arising in biology.
Wydawca

Czasopismo
Rocznik
Tom
10
Numer
2
Strony
398-404
Opis fizyczny
Daty
wydano
2012-04-01
online
2012-03-31
Twórcy
autor
  • S.N. Bose National Centre for Basic Sciences JD Block, Sector III, Salt Lake, Kolkata, 700098, India, partha@bose.res.in
Bibliografia
  • [1] V.I. Arnold, Ordinary Differential Equations (Springer-Verlag, Berlin, 2006)
  • [2] G. F. Torres del Castillo, J. Phys. A Math. Theor. 43, 265202 (2009) http://dx.doi.org/10.1088/1751-8113/42/26/265202[Crossref]
  • [3] A. Ghose Choudhury, P. Guha, B. Khanra, J. Math. Anal. Appl. 360, 651 (2009) http://dx.doi.org/10.1016/j.jmaa.2009.06.052[Crossref]
  • [4] A. Goriely, Integrability and nonintegrability of dynamical systems. Advanced Series in Nonlinear Dynamics, xviii+415 (World Scientific Publishing Co., Inc., River Edge, NJ, 2001) http://dx.doi.org/10.1142/9789812811943[Crossref]
  • [5] P. Guha and A. Ghose Choudhury, Acta Appl. Math 116, 179 (2011) http://dx.doi.org/10.1007/s10440-011-9637-3[Crossref]
  • [6] C. G. J. Jacobi, Giornale Arcadico di Scienze, Lettere ed Arti 99, 129 (1844)
  • [7] C. G. J. Jacobi, J. Reine Angew. Math 27, 199 (1844) http://dx.doi.org/10.1515/crll.1844.27.199[Crossref]
  • [8] C. G. J. Jacobi, J. Reine Angew. Math 29, 213 (1845) http://dx.doi.org/10.1515/crll.1845.29.213[Crossref]
  • [9] C. G. J. Jacobi, Astrophys. J. 342, 635 (1989) http://dx.doi.org/10.1086/167623[Crossref]
  • [10] C. A. Lucey, E. T. Newman, J. Math. Phys. 29, 2430 (1998) http://dx.doi.org/10.1063/1.528129[Crossref]
  • [11] M. C. Nucci, P. G. L. Leach, arXiv:0709.3231v1 [WoS]
  • [12] M. C. Nucci, J. Nonlinear Math. Phys. 12, 284 (2005) http://dx.doi.org/10.2991/jnmp.2005.12.2.9[Crossref]
  • [13] M. C. Nucci, K. M. Tamizhmani, arXiv:1108.2301v1 [WoS]
  • [14] G.H. Paine, Bull. Math. Biol. 44, 749 (1982) [PubMed]
  • [15] G. Sardanashvily, J. Math. Phys. 39, 2714 (1998) http://dx.doi.org/10.1063/1.532416[Crossref]
  • [16] A. Sarkar, J. K. Bhattacharjee, S. Chakraborty, D. B. Banerjee, Eur. Phys. J. D, DOI 10.1140/epjd/e2011-20060-1 [Crossref]
  • [17] J. Struckmeier, J. Phys. A 38, 1257 (2005) http://dx.doi.org/10.1088/0305-4470/38/6/006[Crossref]
  • [18] S. L. Trubatch, A. Franco, J. Theor. Biol. 48, 299 (1974) http://dx.doi.org/10.1016/S0022-5193(74)80003-2[Crossref]
  • [19] B. S. Madhava Rao, Proceedings of the Benares Mathematical Society (New Series) 2, 53 (1940)
  • [20] E. T. Whittaker, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (Cambridge University Press, Cambridge, 1988)
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-012-0004-4
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.