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Volumn 19, Issue 11, 2006, Pages 1180-1184

Limit cycle uniqueness for a class of planar dynamical systems

Author keywords

Li nard equation; Limit cycle; Lotka Volterra; Rayleigh equation; Uniqueness

Indexed keywords

POSITION CONTROL; THEOREM PROVING; VELOCITY;

EID: 33745672473     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2005.09.017     Document Type: Article
Times cited : (25)

References (6)
  • 1
    • 0011561819 scopus 로고
    • Non-existence, uniqueness of limit cycles and center problem in a system that includes predator-prey systems and generalized Liénard equations
    • Gasull A., and Guillamon A. Non-existence, uniqueness of limit cycles and center problem in a system that includes predator-prey systems and generalized Liénard equations. Differential Equations Dynam. Systems 3 (1995) 345-366
    • (1995) Differential Equations Dynam. Systems , vol.3 , pp. 345-366
    • Gasull, A.1    Guillamon, A.2
  • 2
    • 33745646263 scopus 로고    scopus 로고
    • T. Carletti, G. Villari, A note on existence and uniqueness of limit cycles for Liénard systems, Univ. di Firenze, 2003, 16 (preprint)
  • 3
    • 0242371742 scopus 로고    scopus 로고
    • On the uniqueness and nonexistence of limit cycles for predator-prey systems
    • Xiao D., and Zhang Z. On the uniqueness and nonexistence of limit cycles for predator-prey systems. Nonlinearity 16 (2003) 1185-1201
    • (2003) Nonlinearity , vol.16 , pp. 1185-1201
    • Xiao, D.1    Zhang, Z.2
  • 4
    • 18944393278 scopus 로고
    • Some remarks on the uniqueness of the periodic solutions for Liénard equation
    • Villari G. Some remarks on the uniqueness of the periodic solutions for Liénard equation. Boll. Unione Mat. Ital. Serie VI IV (1985) 173-182
    • (1985) Boll. Unione Mat. Ital. Serie VI , vol.IV , pp. 173-182
    • Villari, G.1
  • 5
    • 33745666756 scopus 로고
    • Boundedness theorems for some second-order differential equations
    • Cartwright M.L., and Swinnerton-Dyer H.P.F. Boundedness theorems for some second-order differential equations. Differ. Equ. 14 11 (1979) 1378-1406
    • (1979) Differ. Equ. , vol.14 , Issue.11 , pp. 1378-1406
    • Cartwright, M.L.1    Swinnerton-Dyer, H.P.F.2
  • 6
    • 0002070351 scopus 로고
    • On a dynamical system in the Liénard plane. Necessary and sufficient conditions for the intersection with the vertical isocline and applications
    • Villari G., and Zanolin F. On a dynamical system in the Liénard plane. Necessary and sufficient conditions for the intersection with the vertical isocline and applications. Funkcial. Ekvac. 33 1 (1990) 19-38
    • (1990) Funkcial. Ekvac. , vol.33 , Issue.1 , pp. 19-38
    • Villari, G.1    Zanolin, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.