Direct integration method and first integrals for three-dimensional Lotka-Volterra systems

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 255, Issue 4-6, 1999, Pages 253-258

  Gao, Puyun ^a  

^a NATIONAL UNIVERSITY OF DEFENSE TECHNOLOGY   (China)

Author keywords

Direct integration method; Integrability; Lotka volterra system; Non chaotic

Indexed keywords

BIOLOGICAL SYSTEMS; INTEGRATION;

DIRECT INTEGRATION METHOD; FIRST INTEGRAL; INTEGRABILITY; LOTKA-VOLTERRA SYSTEMS; NON-CHAOTIC;

CONTROL SYSTEMS;

EID: 0347246620     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(99)00193-0     Document Type: Article

References (13)

1. W.E. Lamb, Phys. Rev. A 134 (1964) 1429.
2. G. Lavai, R. Pellat, Plasms physics, proceedings of summer school of theoretical physics, Gordon and Breach, New York, 1975.
3. F.H. Busse, Transition to turbulence via the statistical Limit cycle route in synergetics, Springer-Verlag, Berlin, 1978.
4. A.L. Lotka, Element of mathematical biology, Dover, New York, 1956.
5. J. Hofbauer, K. Sigrnund, The theory of evolution and dynamical systems, Cambridge University Press, Cambridge, 1988.
6. J.-M. Strelcyn, Phys. Lett. A133 (1988) 207.
7. B. Grammaticos, J. Moulin-Ollagnier, A. Ramani, J.-M. Strelcyn, S. Wojciechowski, Phys. A163 (1990) 683.
8. M. Plank, Nonlinearity 9 (1996) 887.
9. L. Cairo, M.R. Feix, J. Math. Phys. 33 (1992) 2440.
10. L. Brening, Phys. Lett. A133 (1988) 378.
11. Y. Nutku, Phys. Lett. A145 (1990) 27.
12. H. Gümral, Y. Nutku, J. Math. Phys. 34 (1993) 12.
13. P. Gao, Z. Liu, Phys. Lett. A244 (1998) 49.