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Volumn , Issue , 2013, Pages 5234-5239

A spectral operator-theoretic framework for global stability

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; LYAPUNOV FUNCTIONS; NUMERICAL METHODS;

EID: 84902341187     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2013.6760712     Document Type: Conference Paper
Times cited : (75)

References (15)
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  • 3
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    • Spectral signature of the pitchfork bifurcation: Liouville equation approach
    • P. Gaspard, G. Nicolis, A. Provata, and S. Tasaki. Spectral signature of the pitchfork bifurcation: Liouville equation approach. Physical Review E, 51(1):74, 1995.
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    • Gaspard, P.1    Nicolis, G.2    Provata, A.3    Tasaki, S.4
  • 4
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    • P. Gaspard and S. Tasaki. Liouvillian dynamics of the hopf bifurcation. Physical Review E, 64(5):056232, 2001.
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    • Gaspard, P.1    Tasaki, S.2
  • 6
    • 84869508251 scopus 로고    scopus 로고
    • Linearization in the large of nonlinear systems and koopman operator spectrum
    • Y. Lan and I. Mezic. Linearization in the large of nonlinear systems and Koopman operator spectrum. Physica D, 242:42-53, 2013.
    • (2013) Physica D , vol.242 , pp. 42-53
    • Lan, Y.1    Mezic, I.2
  • 8
    • 84866924926 scopus 로고    scopus 로고
    • On the use of fourier averages to compute the global isochrons of (quasi)periodic dynamics
    • A. Mauroy and I. Mezic. On the use of Fourier averages to compute the global isochrons of (quasi)periodic dynamics. Chaos, 22(3):033112, 2012.
    • (2012) Chaos , vol.22 , Issue.3 , pp. 033112
    • Mauroy, A.1    Mezic, I.2
  • 9
    • 84885371274 scopus 로고    scopus 로고
    • Isostables, isochrons, and koopman spectrum for the action-angle representation of stable fixed point dynamics
    • October
    • A. Mauroy, I. Mezic, and J. Moehlis. Isostables, isochrons, and Koopman spectrum for the action-angle representation of stable fixed point dynamics. Physica D, 261:19-30, October 2013.
    • (2013) Physica D , vol.261 , pp. 19-30
    • Mauroy, A.1    Mezic, I.2    Moehlis, J.3
  • 10
    • 21844455782 scopus 로고    scopus 로고
    • Spectral properties of dynamical systems, model reduction and decompositions
    • I. Mezic. Spectral properties of dynamical systems, model reduction and decompositions. Nonlinear Dynamics, 41(1-3):309-325, 2005.
    • (2005) Nonlinear Dynamics , vol.41 , Issue.1-3 , pp. 309-325
    • Mezic, I.1
  • 11
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    • Analysis of fluid flows via spectral properties of koopman operator
    • January
    • I. Mezic. Analysis of fluid flows via spectral properties of Koopman operator. Annual Review of Fluid Mechanics, 45, January 2013.
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    • Mezic, I.1
  • 14
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    • A dual to lyapunov's stability theorem
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    • Lyapunov measure for almost everywhere stability
    • U. Vaidya and P. G. Mehta. Lyapunov measure for almost everywhere stability. IEEE Transactions on Automatic Control, 53(1):307-323, 2008.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.