메뉴 건너뛰기




Volumn 34, Issue 17, 2001, Pages 3561-3575

Stability properties of a general class of nonlinear dynamical systems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0035805451     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/17/304     Document Type: Article
Times cited : (13)

References (16)
  • 1
    • 0001342148 scopus 로고
    • Complete factorization and analytic solutions of generalized Lotka-Volterra equations
    • Brenig L 1988 Complete factorization and analytic solutions of generalized Lotka-Volterra equations Phys. Lett. A 133 378-82
    • (1988) Phys. Lett. A , vol.133 , pp. 378-382
    • Brenig, L.1
  • 2
    • 0000124854 scopus 로고
    • Universal canonical formats for time-continuous dynamical systems
    • Brenig L and Goriely A 1989 Universal canonical formats for time-continuous dynamical systems Phys. Rev. A 40 4119-22
    • (1989) Phys. Rev. A , vol.40 , pp. 4119-4122
    • Brenig, L.1    Goriely, A.2
  • 3
    • 0034678311 scopus 로고    scopus 로고
    • Boundedness of solutions and Lyapunov functions in quasi-polynomial dynamical systems
    • Figueiredo A, Gléria I M and Rocha Filho T M 2000 Boundedness of solutions and Lyapunov functions in quasi-polynomial dynamical systems Phys. Lett. A 268 335-41
    • (2000) Phys. Lett. A , vol.268 , pp. 335-341
    • Figueiredo, A.1    Gléria, I.M.2    Rocha Filho, T.M.3
  • 4
    • 0032371704 scopus 로고    scopus 로고
    • Algebraic structures and invariants manifolds of differential systems
    • Figueiredo A, Rocha Filho T M and Brenig L 1998 Algebraic structures and invariants manifolds of differential systems J. Math. Phys. 39 2929-46
    • (1998) J. Math. Phys. , vol.39 , pp. 2929-2946
    • Figueiredo, A.1    Rocha Filho, T.M.2    Brenig, L.3
  • 5
    • 0032785721 scopus 로고    scopus 로고
    • Necessary conditions for the existence of quasi-polynomial invariants: The quasi-polynomial and Lotka-Volterra systems
    • _1999 Necessary conditions for the existence of quasi-polynomial invariants: the quasi-polynomial and Lotka-Volterra systems Physica A 262 158-79
    • (1999) Physica A , vol.262 , pp. 158-179
  • 9
    • 0003201619 scopus 로고
    • Problème général de la stabilité du mouvement
    • Princeton: Princeton University Press
    • Lyapunov A M 1949 Problème général de la stabilité du mouvement Ann. Math. Stud, vol 17 (Princeton: Princeton University Press)
    • (1949) Ann. Math. Stud , vol.17
    • Lyapunov, A.M.1
  • 10
    • 0000268789 scopus 로고
    • Nonlinear aspects of competition between three species
    • May R and Leonard W J 1975 Nonlinear aspects of competition between three species SIAM J. Appl. Math. 29 243-53
    • (1975) SIAM J. Appl. Math. , vol.29 , pp. 243-253
    • May, R.1    Leonard, W.J.2
  • 11
    • 0001239247 scopus 로고    scopus 로고
    • Unified approach to Hamiltonian systems, gradient systems, and systems with Lyapunov functions or first integrals
    • McLachan R I, Quispel GRW and Robidoux N 1998 Unified approach to Hamiltonian systems, gradient systems, and systems with Lyapunov functions or first integrals Phys. Rev. Lett. 81 2399-403
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 2399-2403
    • McLachan, R.I.1    Quispel, G.R.W.2    Robidoux, N.3
  • 12
    • 0033106021 scopus 로고    scopus 로고
    • Embedding recurrent neural-networks into prey-predator models
    • Moreau Y, Loueis S, Vandewalle J and Brenig L 1999 Embedding recurrent neural-networks into prey-predator models Neural Networks 12 237-45
    • (1999) Neural Networks , vol.12 , pp. 237-245
    • Moreau, Y.1    Loueis, S.2    Vandewalle, J.3    Brenig, L.4
  • 13
    • 48749139394 scopus 로고
    • Solution of the stability problem for a class of generalized Volterra prey-predator systems
    • Redheffer R and Walter W 1984 Solution of the stability problem for a class of generalized Volterra prey-predator systems J. Diff. Eqns 52 245-63
    • (1984) J. Diff. Eqns , vol.52 , pp. 245-263
    • Redheffer, R.1    Walter, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.