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Volumn 199, Issue 2, 2007, Pages 378-383

Towards a computer-assisted proof for chaos in a forced damped pendulum equation

Author keywords

Chaos; Differential equations; Interval method; Pendulum

Indexed keywords

CHAOTIC BEHAVIOUR; COMPUTATIONAL PROOF; INTERVAL METHOD; TRAJECTORY PROPERTIES;

EID: 33749673297     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.08.046     Document Type: Article
Times cited : (14)

References (10)
  • 1
    • 33749671592 scopus 로고    scopus 로고
    • B. Bánhelyi, T. Csendes, B.M. Garay, Optimization and the Miranda approach in detecting horseshoe-type chaos by computer, in preparation, available at 〈www.inf.u-szeged.hu/∼csendes/henon2.pdf〉.
  • 2
    • 33749682317 scopus 로고    scopus 로고
    • T. Csendes, B.M. Garay, B. Bánhelyi, A verified optimization technique to locate chaotic regions of a Hénon system, in preparation, available at 〈http://www.inf.u-szeged.hu/∼csendes/henon.pdf〉.
  • 3
    • 0001201892 scopus 로고    scopus 로고
    • Computer assisted proof of chaos in the Lorenz equations
    • Galias Z., and Zgliczynski P. Computer assisted proof of chaos in the Lorenz equations. Physica D 115 (1998) 165-188
    • (1998) Physica D , vol.115 , pp. 165-188
    • Galias, Z.1    Zgliczynski, P.2
  • 4
    • 0033240392 scopus 로고    scopus 로고
    • The forced damped pendulum: chaos, complication and control
    • Hubbard J.H. The forced damped pendulum: chaos, complication and control. Amer. Math. Monthly 8 (1999) 741-758
    • (1999) Amer. Math. Monthly , vol.8 , pp. 741-758
    • Hubbard, J.H.1
  • 5
    • 33749653355 scopus 로고    scopus 로고
    • O. Knüppel, PROFIL-Programmer's Runtime Optimized Fast Interval Library, Bericht 93.4., Technische Universität Hamburg-Harburg, 1993.
  • 6
    • 33749677735 scopus 로고    scopus 로고
    • N. Nedialkov, VNODE, A validated solver for initial value problems for ordinary differential equations 〈 http://www.cas.mcmaster.ca/∼nedialk/Software/VNODE/VNODE.shtml〉.
  • 7
    • 0001029040 scopus 로고
    • Rigorous chaos verification in discrete dynamical systems
    • Neumaier A., and Rage T. Rigorous chaos verification in discrete dynamical systems. Physica D 67 (1993) 327-346
    • (1993) Physica D , vol.67 , pp. 327-346
    • Neumaier, A.1    Rage, T.2
  • 8
    • 33749678679 scopus 로고    scopus 로고
    • ODE ARHITECT, an ODE illustration program, Wiley, New York, 1999.
  • 9
    • 0000561907 scopus 로고
    • Rigorous verification of chaos in a molecular model
    • Rage T., Neumaier A., and Schlier C. Rigorous verification of chaos in a molecular model. Phys. Rev. E 50 (1994) 2682-2688
    • (1994) Phys. Rev. E , vol.50 , pp. 2682-2688
    • Rage, T.1    Neumaier, A.2    Schlier, C.3
  • 10
    • 23044451012 scopus 로고    scopus 로고
    • Computer assisted proof of the horseshoe dynamics in the Hénon map
    • Zgliczynski P. Computer assisted proof of the horseshoe dynamics in the Hénon map. Random Comput. Dynamics 5 (1997) 1-17
    • (1997) Random Comput. Dynamics , vol.5 , pp. 1-17
    • Zgliczynski, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.