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Volumn 7, Issue 2, 1996, Pages 257-269

A Nonlinear Dynamical Model for the Dynastic Cycle

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EID: 0000110568     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/0960-0779(95)00011-9     Document Type: Article
Times cited : (30)

References (11)
  • 1
    • 0001438453 scopus 로고
    • The dynastic cycle and the stationary state
    • D. Usher, The dynastic cycle and the stationary state, Am. Econ. Rev. 79, 1031-1044 (1989).
    • (1989) Am. Econ. Rev. , vol.79 , pp. 1031-1044
    • Usher, D.1
  • 2
    • 0028391861 scopus 로고
    • A differential game model of the dynastic cycle. II: 3D-canonical system with a stable limit cycle
    • G. Feichtinger and A. J. Novak, A differential game model of the dynastic cycle. II: 3D-canonical system with a stable limit cycle, J. Optimiz. Theory and Appl. 80, 407-423 (1994).
    • (1994) J. Optimiz. Theory and Appl. , vol.80 , pp. 407-423
    • Feichtinger, G.1    Novak, A.J.2
  • 3
    • 0002366911 scopus 로고
    • The functional response of predators to prey density and its role in mimicry and population regulation
    • C. S. Holling, The functional response of predators to prey density and its role in mimicry and population regulation, Mem. Entomol. Soc. Can. 45, 5-60 (1965).
    • (1965) Mem. Entomol. Soc. Can. , vol.45 , pp. 5-60
    • Holling, C.S.1
  • 4
    • 0001524531 scopus 로고
    • Exploitation in three trophic levels
    • M. L. Rosenzweig, Exploitation in three trophic levels, Am. Naturalist 107, 275-294 (1973).
    • (1973) Am. Naturalist , vol.107 , pp. 275-294
    • Rosenzweig, M.L.1
  • 5
    • 0025956240 scopus 로고
    • Chaos in a three-species food-chain
    • A. Hastings and T. Powell, Chaos in a three-species food-chain, Ecology 72, 896-903 (1991).
    • (1991) Ecology , vol.72 , pp. 896-903
    • Hastings, A.1    Powell, T.2
  • 6
    • 4544313738 scopus 로고
    • Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps
    • A. I. Khibnik, Yu. A. Kuznetsov, V. V. Levitin and E. V. Nikolaev, Continuation techniques and interactive software for bifurcation analysis of ODEs and iterated maps, Physica D 62, 360-370 (1993).
    • (1993) Physica D , vol.62 , pp. 360-370
    • Khibnik, A.I.1    Kuznetsov, Yu.A.2    Levitin, V.V.3    Nikolaev, E.V.4
  • 8
    • 0026169197 scopus 로고
    • A separation condition for the existence of limit cycles in slow-fast systems
    • S. Muratori and S. Rinaldi, A separation condition for the existence of limit cycles in slow-fast systems, Appl. Math. Modelling 15, 312-318 (1991).
    • (1991) Appl. Math. Modelling , vol.15 , pp. 312-318
    • Muratori, S.1    Rinaldi, S.2
  • 10
    • 0027072404 scopus 로고
    • Low- and high-frequency oscillations in three-dimensional food chain systems
    • S. Muratori and S. Rinaldi, Low- and high-frequency oscillations in three-dimensional food chain systems, SIAM J. Appl. Math. 52, 1688-1706 (1992).
    • (1992) SIAM J. Appl. Math. , vol.52 , pp. 1688-1706
    • Muratori, S.1    Rinaldi, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.