메뉴 건너뛰기




Volumn 28, Issue 5, 2006, Pages 1306-1313

Determination of periodic orbits of nonlinear oscillators by means of piecewise-linearization methods

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DEGREES OF FREEDOM (MECHANICS); DIFFERENCE EQUATIONS; LINEARIZATION; NONLINEAR CONTROL SYSTEMS; PROBLEM SOLVING;

EID: 29144506145     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.08.203     Document Type: Article
Times cited : (8)

References (24)
  • 1
    • 0003555632 scopus 로고
    • Krieger Publishing Company Huntington, New York
    • N. Minorsky Nonlinear oscillations 1974 Krieger Publishing Company Huntington, New York
    • (1974) Nonlinear Oscillations
    • Minorsky, N.1
  • 3
    • 0037401787 scopus 로고    scopus 로고
    • A numerical technique to predict periodic and quasi-periodic response of nonlinear dynamic systems
    • S. Sarkar, and K. Venkatraman A numerical technique to predict periodic and quasi-periodic response of nonlinear dynamic systems Comput Struct 81 2003 1383 1393
    • (2003) Comput Struct , vol.81 , pp. 1383-1393
    • Sarkar, S.1    Venkatraman, K.2
  • 4
    • 15744389129 scopus 로고    scopus 로고
    • Sensitivity analysis of oscillatory (bio)chemical systems
    • D.E. Zak, J. Stelling, and F.J. Doyle III Sensitivity analysis of oscillatory (bio)chemical systems Comput Chem Eng 29 2005 663 673
    • (2005) Comput Chem Eng , vol.29 , pp. 663-673
    • Zak, D.E.1    Stelling, J.2    Iii, J.D.F.3
  • 6
    • 0035593964 scopus 로고    scopus 로고
    • On stability of solutions to linear systems with periodic coefficients
    • G.V. Demidenko, and I.I. Matveeva On stability of solutions to linear systems with periodic coefficients Siberian Math J 42 2001 282 296
    • (2001) Siberian Math J , vol.42 , pp. 282-296
    • Demidenko, G.V.1    Matveeva, I.I.2
  • 10
    • 24944528640 scopus 로고    scopus 로고
    • Piecewise-linearized methods for oscillators with limit cycles
    • J.I. Ramos Piecewise-linearized methods for oscillators with limit cycles Chaos, Solitons & Fractals 27 2006 1229 1238
    • (2006) Chaos, Solitons & Fractals , vol.27 , pp. 1229-1238
    • Ramos, J.I.1
  • 11
    • 14944364752 scopus 로고    scopus 로고
    • Localization of periodic orbits of polynomial vector fields of even degree by linear functions
    • K.E. Starkov Localization of periodic orbits of polynomial vector fields of even degree by linear functions Chaos, Solitons & Fractals 25 2005 621 627
    • (2005) Chaos, Solitons & Fractals , vol.25 , pp. 621-627
    • Starkov, K.E.1
  • 12
    • 15344344661 scopus 로고    scopus 로고
    • On computing periodic orbits
    • M. Tadi On computing periodic orbits J Sound Vibr 283 2005 495 506
    • (2005) J Sound Vibr , vol.283 , pp. 495-506
    • Tadi, M.1
  • 13
    • 7244234215 scopus 로고    scopus 로고
    • Special optimized Runge-Kutta methods for IVPs with oscillating solutions
    • Z.A. Anastassi, and T.E. Simos Special optimized Runge-Kutta methods for IVPs with oscillating solutions Int J Modern Phys C 15 2005 1 15
    • (2005) Int J Modern Phys C , vol.15 , pp. 1-15
    • Anastassi, Z.A.1    Simos, T.E.2
  • 14
    • 18044362753 scopus 로고    scopus 로고
    • A trigonometrically-fitted method for long-time integration of orbital problems
    • T.E. Simos A trigonometrically-fitted method for long-time integration of orbital problems Math Comput Modell 40 2004 1263 1272
    • (2004) Math Comput Modell , vol.40 , pp. 1263-1272
    • Simos, T.E.1
  • 15
    • 77958409581 scopus 로고
    • Symmetric multistep methods for periodic initial value problems
    • J.D. Lambert, and I.A. Watson Symmetric multistep methods for periodic initial value problems J Inst Math Appl 18 1976 189 202
    • (1976) J Inst Math Appl , vol.18 , pp. 189-202
    • Lambert, J.D.1    Watson, I.A.2
  • 16
    • 1242264941 scopus 로고    scopus 로고
    • A two-step explicit P-stable method of high phase-lag order for second order IVPs
    • Q. Li, and X. Wu A two-step explicit P-stable method of high phase-lag order for second order IVPs Appl Math Comput 151 2004 17 26
    • (2004) Appl Math Comput , vol.151 , pp. 17-26
    • Li, Q.1    Wu, X.2
  • 17
    • 17444390469 scopus 로고    scopus 로고
    • On the stability of a two-step method for solving periodic IVPs
    • Q. Li On the stability of a two-step method for solving periodic IVPs Appl Math Comput 165 2005 37 44
    • (2005) Appl Math Comput , vol.165 , pp. 37-44
    • Li, Q.1
  • 18
    • 0344799642 scopus 로고
    • Rational Runge-Kutta methods for solving systems of ordinary differential equations
    • A. Wambecq Rational Runge-Kutta methods for solving systems of ordinary differential equations Computing 20 1978 333 342
    • (1978) Computing , vol.20 , pp. 333-342
    • Wambecq, A.1
  • 19
    • 84968509237 scopus 로고
    • Acceleration techniques for iterated vector and matrix problems
    • P. Wynn Acceleration techniques for iterated vector and matrix problems Math Comput 16 1962 301 322
    • (1962) Math Comput , vol.16 , pp. 301-322
    • Wynn, P.1
  • 20
    • 0002904201 scopus 로고
    • Unconditionally stable methods for parabolic equations
    • E. Hairer Unconditionally stable methods for parabolic equations Numer Math 35 1980 57 68
    • (1980) Numer Math , vol.35 , pp. 57-68
    • Hairer, E.1
  • 21
    • 0034140908 scopus 로고    scopus 로고
    • The vector form of a sixth-order A-stable explicit one-step method for stiff problems
    • X.-Y. Wu, and J.-L. Xia The vector form of a sixth-order A-stable explicit one-step method for stiff problems Comput Math Appl 39 2000 247 257
    • (2000) Comput Math Appl , vol.39 , pp. 247-257
    • Wu, X.-Y.1    Xia, J.-L.2
  • 24
    • 17644408375 scopus 로고    scopus 로고
    • A second-order scheme for integration of one-dimensional dynamic systems
    • H. Ma, and Q.-H. Qin A second-order scheme for integration of one-dimensional dynamic systems Comput Math Appl 49 2005 239 252
    • (2005) Comput Math Appl , vol.49 , pp. 239-252
    • Ma, H.1    Qin, Q.-H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.