메뉴 건너뛰기




Volumn 39, Issue 2, 2003, Pages 224-231

A note on bifurcations of motions in the Lorentz system

Author keywords

Bifurcation; Chaos; Limit cycle; Lorenz equations

Indexed keywords

COORDINATE SYSTEMS; LORENZ EQUATIONS;

EID: 0038323199     PISSN: 10637095     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1023921901316     Document Type: Article
Times cited : (9)

References (18)
  • 2
    • 0346446010 scopus 로고    scopus 로고
    • On homoclinic trajectories in the Lorentz system
    • G. A. Leonov, "On homoclinic trajectories in the Lorentz system," Vestn. SPb. Univ., Mat. Mekh. Astron., No. 1, 13-20 (1999).
    • (1999) Vestn. SPb. Univ., Mat. Mekh. Astron. , vol.1 , pp. 13-20
    • Leonov, G.A.1
  • 7
    • 0001842302 scopus 로고    scopus 로고
    • Homoclinic and heteroclinic orbits to a cycle in a tri-trophic food chain
    • M. P. Boer, B. W. Kooi, and S. A. L. M. Kooijman, "Homoclinic and heteroclinic orbits to a cycle in a tri-trophic food chain," J. Vath. Biol., 39, No. 1, 19-38 (1999).
    • (1999) J. Vath. Biol. , vol.39 , Issue.1 , pp. 19-38
    • Boer, M.P.1    Kooi, B.W.2    Kooijman, S.A.L.M.3
  • 8
    • 0030540448 scopus 로고    scopus 로고
    • Lorenz equations. 1. Existence and nonexistence of homoclinic orbits
    • X. Chen, "Lorenz equations. 1. Existence and nonexistence of homoclinic orbits," SIAM J. Math. Anal., 27, No. 4, 1057-1069 (1996).
    • (1996) SIAM J. Math. Anal. , vol.27 , Issue.4 , pp. 1057-1069
    • Chen, X.1
  • 9
    • 0030140607 scopus 로고    scopus 로고
    • A shooting approach to chaos in the Lorenz equations
    • S. P. Hastings and W. C. Troy, "A shooting approach to chaos in the Lorenz equations," J. Differ. Equat., 127, No. 1, 41-53 (1996).
    • (1996) J. Differ. Equat. , vol.127 , Issue.1 , pp. 41-53
    • Hastings, S.P.1    Troy, W.C.2
  • 10
    • 21944436625 scopus 로고    scopus 로고
    • Liapynov's direct method in estimates of the fractal dimension of attractors
    • G. A. Leonov and S. A. Lyasko, "Liapynov's direct method in estimates of the fractal dimension of attractors," Differ. Equat., 33, No. 1, 67-74 (1997).
    • (1997) Differ. Equat. , vol.33 , Issue.1 , pp. 67-74
    • Leonov, G.A.1    Lyasko, S.A.2
  • 11
    • 0032243948 scopus 로고    scopus 로고
    • Dynamic principle of symmetry
    • A. A. Martynyuk and N. V. Nikitina, "Dynamic principle of symmetry," Int. Appl. Mech., 34, No. 11, 1158-1164 (1998).
    • (1998) Int. Appl. Mech. , vol.34 , Issue.11 , pp. 1158-1164
    • Martynyuk, A.A.1    Nikitina, N.V.2
  • 12
    • 0035537346 scopus 로고    scopus 로고
    • Regular and chaotic motions of mathematical pendulums
    • A. A. Martynyuk and N. V. Nikitina, "Regular and chaotic motions of mathematical pendulums," Int. Appl. Mech., 37, No. 3, 407-413 (2001).
    • (2001) Int. Appl. Mech. , vol.37 , Issue.3 , pp. 407-413
    • Martynyuk, A.A.1    Nikitina, N.V.2
  • 13
    • 0036445721 scopus 로고    scopus 로고
    • On an approximate solution of the Van der Pol equations with a large parameter
    • A.A. Martynyuk and N. V. Nikitina, "On an approximate solution of the Van der Pol equations with a large parameter," Int. Appl. Mech., 38, No. 8, 1017-1023 (2002).
    • (2002) Int. Appl. Mech. , vol.38 , Issue.8 , pp. 1017-1023
    • Martynyuk, A.A.1    Nikitina, N.V.2
  • 14
    • 0036937132 scopus 로고    scopus 로고
    • On approximate representation of periodic motions at a saddle point
    • A. A. Martynyuk and N. V. Nikitina, "On approximate representation of periodic motions at a saddle point," Int. Appl. Mech., 38, No. 9, 1138-1144 (2002).
    • (2002) Int. Appl. Mech. , vol.38 , Issue.9 , pp. 1138-1144
    • Martynyuk, A.A.1    Nikitina, N.V.2
  • 16
    • 0003293377 scopus 로고
    • The Lorenz equation: Bifurcation, chaos and strange attractors
    • C. Sparrow, "The Lorenz equation: bifurcation, chaos and strange attractors," Appl. Math. Sci., 41, 217-232 (1982).
    • (1982) Appl. Math. Sci. , vol.41 , pp. 217-232
    • Sparrow, C.1
  • 17
    • 0032027324 scopus 로고    scopus 로고
    • Analytic approximation of the homoclinic orbits of the Lorenz system
    • A. F. Vakakis and M. F. A. V. Azeez, "Analytic approximation of the homoclinic orbits of the Lorenz system," Nonlin. Dynam., 15, No. 3, 245-257 (1998).
    • (1998) Nonlin. Dynam. , vol.15 , Issue.3 , pp. 245-257
    • Vakakis, A.F.1    Azeez, M.F.A.V.2
  • 18
    • 0347000606 scopus 로고    scopus 로고
    • Chaotic control systems
    • T. L. V. Vincent, "Chaotic control systems," Nonlin. Dynam. Syst. Theor., 1, No. 2, 205-218 (2001).
    • (2001) Nonlin. Dynam. Syst. Theor. , vol.1 , Issue.2 , pp. 205-218
    • Vincent, T.L.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.