메뉴 건너뛰기




Volumn 190, Issue 1, 2007, Pages 490-499

On the number of limit cycles of a cubic polynomials Hamiltonian system under quintic perturbation

Author keywords

Bifurcation; Detection functions; Hamiltonian system; Limit cycles

Indexed keywords

BIFURCATION (MATHEMATICS); FUNCTION EVALUATION; PERTURBATION TECHNIQUES; POLYNOMIAL APPROXIMATION; THEOREM PROVING;

EID: 34249790285     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.01.052     Document Type: Article
Times cited : (5)

References (15)
  • 1
    • 0002587254 scopus 로고    scopus 로고
    • Mathematical problems for the next century
    • Smale S. Mathematical problems for the next century. Math. Intell. 20 2 (1998) 7-15
    • (1998) Math. Intell. , vol.20 , Issue.2 , pp. 7-15
    • Smale, S.1
  • 3
    • 0037246396 scopus 로고    scopus 로고
    • Hilbert's 16th problem and bifurcations of planar polynomial vector fields
    • Li J. Hilbert's 16th problem and bifurcations of planar polynomial vector fields. Int. J. Bifurcat. Chaos 13 1 (2003) 47-106
    • (2003) Int. J. Bifurcat. Chaos , vol.13 , Issue.1 , pp. 47-106
    • Li, J.1
  • 4
    • 0001171535 scopus 로고
    • Bifurcations of limit cycles forming compound eyes in the cubic system
    • Li J., and Huang Q. Bifurcations of limit cycles forming compound eyes in the cubic system. Chin. Ann. Math. 8B 4 (1987) 391-403
    • (1987) Chin. Ann. Math. , vol.8 B , Issue.4 , pp. 391-403
    • Li, J.1    Huang, Q.2
  • 5
    • 0001211762 scopus 로고
    • Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system
    • Li J., and Liu Z. Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system. Publ. Math. 35 (1991) 487-506
    • (1991) Publ. Math. , vol.35 , pp. 487-506
    • Li, J.1    Liu, Z.2
  • 6
    • 0034326134 scopus 로고    scopus 로고
    • Bifurcation set and distribution of limit cycles for a class of cubic Hamiltonian system with higher-order perturbed terms
    • Cao H., Liu Z., and Jing Z. Bifurcation set and distribution of limit cycles for a class of cubic Hamiltonian system with higher-order perturbed terms. Chaos Soliton Fract. 11 (2000) 2293-2304
    • (2000) Chaos Soliton Fract. , vol.11 , pp. 2293-2304
    • Cao, H.1    Liu, Z.2    Jing, Z.3
  • 7
    • 0036885489 scopus 로고    scopus 로고
    • Fourteen limit cycles in a cubic Hamiltonian system with nine-order perturbed term
    • Tang M., and Hong X. Fourteen limit cycles in a cubic Hamiltonian system with nine-order perturbed term. Chaos Soliton Fract. 14 (2002) 1361-1369
    • (2002) Chaos Soliton Fract. , vol.14 , pp. 1361-1369
    • Tang, M.1    Hong, X.2
  • 8
    • 33746029093 scopus 로고    scopus 로고
    • Thirteen limit cycles for a class of Hamiltonian systems under seven-order perturbed terms
    • Tigan G. Thirteen limit cycles for a class of Hamiltonian systems under seven-order perturbed terms. Chaos Soliton Fract. 31 (2007) 480-488
    • (2007) Chaos Soliton Fract. , vol.31 , pp. 480-488
    • Tigan, G.1
  • 9
    • 17044415311 scopus 로고    scopus 로고
    • 2-equivariant perturbed planar Hamiltonian polynomial vector field
    • 2-equivariant perturbed planar Hamiltonian polynomial vector field. Int. J. Bifurcat. Chaos 15 1 (2005) 137-155
    • (2005) Int. J. Bifurcat. Chaos , vol.15 , Issue.1 , pp. 137-155
    • Li, J.1    Zhou, H.2
  • 10
    • 33747879137 scopus 로고    scopus 로고
    • On the zeros of Abelian integrals for a class Liénard systems
    • Zhang T., Tadé Moses O., and Tian Y. On the zeros of Abelian integrals for a class Liénard systems. Phys. Lett. A 358 (2006) 262-274
    • (2006) Phys. Lett. A , vol.358 , pp. 262-274
    • Zhang, T.1    Tadé Moses, O.2    Tian, Y.3
  • 11
    • 33748423721 scopus 로고    scopus 로고
    • On some open problems in planar differential systems and Hilbert's 16th problem
    • Jaume G. On some open problems in planar differential systems and Hilbert's 16th problem. Chaos Soliton Fract. 31 (2007) 1118-1134
    • (2007) Chaos Soliton Fract. , vol.31 , pp. 1118-1134
    • Jaume, G.1
  • 12
    • 0037246457 scopus 로고    scopus 로고
    • The same distribution of limit cycles in five perturbed cubic Hamiltonian systems
    • Liu Z., Yang Z., and Jiang T. The same distribution of limit cycles in five perturbed cubic Hamiltonian systems. Int. J. Bifurcat. Chaos 13 1 (2003) 243-249
    • (2003) Int. J. Bifurcat. Chaos , vol.13 , Issue.1 , pp. 243-249
    • Liu, Z.1    Yang, Z.2    Jiang, T.3
  • 13
    • 9644262430 scopus 로고    scopus 로고
    • 2-equivariant vector fields
    • 2-equivariant vector fields. Chaos Soliton Fract. 24 (2005) 329-348
    • (2005) Chaos Soliton Fract. , vol.24 , pp. 329-348
    • Yu, P.1    Han, M.2
  • 14
    • 33646127359 scopus 로고    scopus 로고
    • Bifurcations of limit cycles in a cubic system with cubic perturbations
    • Zang H., Zhang T., and Han M. Bifurcations of limit cycles in a cubic system with cubic perturbations. Appl. Math. Comput. 176 (2006) 341-358
    • (2006) Appl. Math. Comput. , vol.176 , pp. 341-358
    • Zang, H.1    Zhang, T.2    Han, M.3
  • 15
    • 33745116563 scopus 로고    scopus 로고
    • The number of limit cycles of cubic Hamiltonian system with perturbation
    • Wu C., and Xia Y. The number of limit cycles of cubic Hamiltonian system with perturbation. Nonlinear Anal.: Real World Appl. 7 (2006) 943-949
    • (2006) Nonlinear Anal.: Real World Appl. , vol.7 , pp. 943-949
    • Wu, C.1    Xia, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.