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Volumn 241, Issue 4, 2001, Pages 653-679

A generalized local linearization principle for non-linear dynamical systems

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; DIFFERENTIAL EQUATIONS; LINEARIZATION; OSCILLATORS (MECHANICAL); PHASE SPACE METHODS; STATE SPACE METHODS; TOPOLOGY;

EID: 0035810072     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2000.3306     Document Type: Article
Times cited : (7)

References (22)
  • 5
    • 0002738282 scopus 로고
    • Combination tones of single-degree-of-freedom systems with quadratic and cubic non-linearities
    • NAYFEH A. H. Combination tones of single-degree-of-freedom systems with quadratic and cubic non-linearities. Journal of Sound and Vibration. 88:1984;1-10.
    • (1984) Journal of Sound and Vibration , vol.88 , pp. 1-10
    • Nayfeh, A.H.1
  • 6
    • 0019668332 scopus 로고
    • Amplitude incremental variational principle for nonlinear vibration of elastic systems
    • LAU S. L., CHEUNG Y. K. Amplitude incremental variational principle for nonlinear vibration of elastic systems. Journal of Applied Mechanics. 48:1981;959-964.
    • (1981) Journal of Applied Mechanics , vol.48 , pp. 959-964
    • Lau, S.L.1    Cheung, Y.K.2
  • 8
    • 0026998433 scopus 로고
    • A second order approximate analytical solution of a simple pendulum by the process analysis method
    • LIAO S. J. A second order approximate analytical solution of a simple pendulum by the process analysis method. Journal of Applied Mechanics. 59:1992;970-975.
    • (1992) Journal of Applied Mechanics , vol.59 , pp. 970-975
    • Liao, S.J.1
  • 9
    • 0001650860 scopus 로고
    • Chaos in numerical analysis of ordinary differential equations
    • YAMAGUTI M., USHIKI S. Chaos in numerical analysis of ordinary differential equations. Physica D. 3:1981;618-626.
    • (1981) Physica D , vol.3 , pp. 618-626
    • Yamaguti, M.1    Ushiki, S.2
  • 10
    • 0000305898 scopus 로고
    • Computational chaos: A prelude to computational instability
    • LORENZ E. N. Computational chaos: a prelude to computational instability. Physica D. 35:1989;299-317.
    • (1989) Physica D , vol.35 , pp. 299-317
    • Lorenz, E.N.1
  • 11
    • 0000987662 scopus 로고    scopus 로고
    • New approaches for the study of non-linear oscillators
    • IYENGAR R. N., ROY D. New approaches for the study of non-linear oscillators. Journal of Sound and Vibration. 211:1998;843-875.
    • (1998) Journal of Sound and Vibration , vol.211 , pp. 843-875
    • Iyengar, R.N.1    Roy, D.2
  • 12
    • 0000987661 scopus 로고    scopus 로고
    • Extensions of the phase space linearization (PSL) technique for non-linear oscillators
    • IYENGAR R. N., ROY D. Extensions of the phase space linearization (PSL) technique for non-linear oscillators. Journal of Sound and Vibration. 211:1998;877-906.
    • (1998) Journal of Sound and Vibration , vol.211 , pp. 877-906
    • Iyengar, R.N.1    Roy, D.2
  • 13
    • 0000047493 scopus 로고    scopus 로고
    • Phase space linearization for non-linear oscillators: Deterministic and stochastic system
    • ROY D. Phase space linearization for non-linear oscillators: deterministic and stochastic system. Journal of Sound and Vibration. 231:2000;307-341.
    • (2000) Journal of Sound and Vibration , vol.231 , pp. 307-341
    • Roy, D.1
  • 18


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.