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Volumn 8, Issue 12, 2002, Pages 1171-1191

A Darboux-type theory of integrability for discrete dynamical systems

Author keywords

Darboux integrability; Differential equations; Discrete dynamical system; Invariants

Indexed keywords


EID: 0036897492     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: 10.1080/1023619021000054042     Document Type: Article
Times cited : (20)

References (11)
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    • Darboux integrability for 3D Lotka-Volterra systems
    • L. Cairó and J. Llibre, Darboux integrability for 3D Lotka-Volterra systems, J. Phys. A, 33 (2000), 2395-2406.
    • (2000) J. Phys. A , vol.33 , pp. 2395-2406
    • Cairó, L.1    Llibre, J.2
  • 3
    • 0001583559 scopus 로고
    • Algorithms involving arithmetic and geometric means
    • B.C. Carlson, Algorithms involving arithmetic and geometric means, Am. Math. Mon., 78 (1971), 496-505.
    • (1971) Am. Math. Mon. , vol.78 , pp. 496-505
    • Carlson, B.C.1
  • 5
    • 0002792963 scopus 로고    scopus 로고
    • Algebraic aspects of integrability for polynomial systems
    • C. Christopher and J. Llibre, Algebraic aspects of integrability for polynomial systems, Qual. Theory Dyn. Syst., (1999), 71-96.
    • (1999) Qual. Theory Dyn. Syst. , pp. 71-96
    • Christopher, C.1    Llibre, J.2
  • 6
    • 0001870683 scopus 로고    scopus 로고
    • Integrability via invariant algebraic curves for planar polynomial differential systems
    • C. Christopher and J. Llibre, Integrability via invariant algebraic curves for planar polynomial differential systems, Ann. Differential Equations, (2000), 5-19.
    • (2000) Ann. Differential Equations , pp. 5-19
    • Christopher, C.1    Llibre, J.2
  • 9
    • 0002487294 scopus 로고
    • Behavior of the period of solution of certain plane autonomous systems near centres
    • W.S. Loud, Behavior of the period of solution of certain plane autonomous systems near centres, Contrib. Differential Equations, 3 (1964), 21-36.
    • (1964) Contrib. Differential Equations , vol.3 , pp. 21-36
    • Loud, W.S.1
  • 10
    • 0011873622 scopus 로고    scopus 로고
    • Algebraic non-integrability of the Cohen map
    • M. Rychlik and M. Torgerson, Algebraic non-integrability of the Cohen map, N.Y. J. Math., 4 (1998), 57-74.
    • (1998) N.Y. J. Math. , vol.4 , pp. 57-74
    • Rychlik, M.1    Torgerson, M.2
  • 11
    • 0000305889 scopus 로고    scopus 로고
    • On invariants for difference equations and systems of difference equations of rational form
    • R. Sahadevan, On invariants for difference equations and systems of difference equations of rational form, J. Math. Anal. Appl., 233 (1999), 498-507.
    • (1999) J. Math. Anal. Appl. , vol.233 , pp. 498-507
    • Sahadevan, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.