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Volumn 240, Issue 3-4, 1997, Pages 586-621

New integrable cases of a Cremona transformation: A finite-order orbits analysis

Author keywords

Automorphisms of algebraic varieties; Birational transformations; Cremona transformation; Discrete dynamical systems; Elliptic curves; Integrable and non integrable mappings; Iterations; Non linear recursions

Indexed keywords

CHAOS THEORY; ITERATIVE METHODS; MATHEMATICAL MORPHOLOGY; MATRIX ALGEBRA;

EID: 0031166110     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(97)00165-9     Document Type: Article
Times cited : (13)

References (16)
  • 3
    • 0000501471 scopus 로고
    • Infinite discrete symmetry group for the Yang-Baxter equations: Spin models
    • M.P. Bellon, J.-M. Maillard, C.-M. Viallet, Infinite discrete symmetry group for the Yang-Baxter equations: spin models, Phys. Lett. A 157 (1991) 343-353.
    • (1991) Phys. Lett. A , vol.157 , pp. 343-353
    • Bellon, M.P.1    Maillard, J.-M.2    Viallet, C.-M.3
  • 4
    • 0007297807 scopus 로고
    • Infinite discrete symmetry group for the Yang-Baxter equations: Vertex models
    • M.P. Bellon, J.-M. Maillard, C.-M. Viallet, Infinite discrete symmetry group for the Yang-Baxter equations: vertex models, Phys. Lett. B 260 (1991) 87-100.
    • (1991) Phys. Lett. B , vol.260 , pp. 87-100
    • Bellon, M.P.1    Maillard, J.-M.2    Viallet, C.-M.3
  • 5
    • 0000136587 scopus 로고
    • Rational mappings, arborescent iterations, and the symmetries of integrability
    • M.P. Bellon, J.-M. Maillard, C.-M. Viallet, Rational mappings, arborescent iterations, and the symmetries of integrability, Phys. Rev. Lett. 67 (1991) 1373-1376.
    • (1991) Phys. Rev. Lett. , vol.67 , pp. 1373-1376
    • Bellon, M.P.1    Maillard, J.-M.2    Viallet, C.-M.3
  • 6
  • 8
    • 0007162904 scopus 로고
    • Integrable mappings and polynomial growth
    • S. Boukraa, J.-M. Maillard, G. Rollet, Integrable mappings and polynomial growth, Physica A 208 (1994) 115-175.
    • (1994) Physica A , vol.208 , pp. 115-175
    • Boukraa, S.1    Maillard, J.-M.2    Rollet, G.3
  • 10
    • 21844505428 scopus 로고
    • Discrete symmetry groups of vertex models in statistical mechanics
    • S. Boukraa, J.-M. Maillard, G. Rollet, Discrete symmetry groups of vertex models in statistical mechanics, J. Stat. Phys. 78 (1995) 1195-1251.
    • (1995) J. Stat. Phys. , vol.78 , pp. 1195-1251
    • Boukraa, S.1    Maillard, J.-M.2    Rollet, G.3
  • 11
    • 0007295508 scopus 로고
    • Automorphisms of algebraic varieties and Yang-Baxter equations
    • J.M. Maillard, Automorphisms of algebraic varieties and Yang-Baxter equations, J. Math. Phys. 27 (1986) 2776.
    • (1986) J. Math. Phys. , vol.27 , pp. 2776
    • Maillard, J.M.1
  • 13
    • 0001001511 scopus 로고
    • Singularity, complexity, and quasi-integrability of rational mappings
    • C.M. Viallet, G. Falqui, Singularity, complexity, and quasi-integrability of rational mappings, Comm. Math. Phys. 154 (1993) 111-125.
    • (1993) Comm. Math. Phys. , vol.154 , pp. 111-125
    • Viallet, C.M.1    Falqui, G.2
  • 14
    • 0141946000 scopus 로고    scopus 로고
    • On some rational Coxeter groups
    • American Mathematical Society, Providence, RI, Centre de Recherches Mathematiques
    • C.M. Viallet, On some rational Coxeter groups. In CRM Proc. Lecture Notes, vol. A144, American Mathematical Society, Providence, RI, 1996, 377-388, Centre de Recherches Mathematiques.
    • (1996) CRM Proc. Lecture Notes , vol.A144 , pp. 377-388
    • Viallet, C.M.1
  • 15
    • 0007230746 scopus 로고
    • Factorization properties of birational mappings
    • S. Boukraa, J.-M. Maillard, Factorization properties of birational mappings, Physica A 220 (1995) 403-470.
    • (1995) Physica A , vol.220 , pp. 403-470
    • Boukraa, S.1    Maillard, J.-M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.