메뉴 건너뛰기




Volumn 3, Issue , 2007, Pages

Phase space of rolling solutions of the tippe top

Author keywords

Integrals of motion; Nonholonomic dynamics; Rigid body; Rolling sphere; Tippe top

Indexed keywords


EID: 84889234797     PISSN: None     EISSN: 18150659     Source Type: Journal    
DOI: 10.3842/SIGMA.2007.041     Document Type: Article
Times cited : (12)

References (14)
  • 2
    • 0007019737 scopus 로고
    • On motion of heavy rigid body of revolution on horizontal plane, Proc. of the Physical Sciences
    • Chaplygin S.A., On motion of heavy rigid body of revolution on horizontal plane, Proc. of the Physical Sciences, Section of the Society of Amateurs of Natural Sciences 9 1897, no. 1, 10-16.
    • (1897) Section of The Society of Amateurs of Natural Sciences , vol.9 , Issue.1 , pp. 10-16
    • Chaplygin, S.A.1
  • 3
    • 1542356076 scopus 로고    scopus 로고
    • On a ball's rolling on a horizontal plane
    • Chaplygin S.A., On a ball's rolling on a horizontal plane, Regul. Chaotic Dyn. 7 2002, 131-148.
    • (2002) Regul. Chaotic Dyn , vol.7 , pp. 131-148
    • Chaplygin, S.A.1
  • 4
    • 0039474939 scopus 로고
    • The tippe top revisited
    • Cohen R.J., The tippe top revisited, Amer. J. Phys. 45 1977, 12-17.
    • (1977) Amer. J. Phys , vol.45 , pp. 12-17
    • Cohen, R.J.1
  • 5
    • 2442567242 scopus 로고
    • A new analysis of the tippe top: Asymptotic states and Liapunov stability
    • chao-dyn/9501008
    • Ebenfeld S., Scheck F., A new analysis of the tippe top: asymptotic states and Liapunov stability, Ann. Physics 243 1995, 195-217, chao-dyn/9501008.
    • (1995) Ann. Physics. , vol.243 , pp. 195-217
    • Ebenfeld, S.1    Scheck, F.2
  • 6
    • 0034404237 scopus 로고    scopus 로고
    • Constants of motion for nonslipping tippe tops and other tops with rounded pegs
    • Gray C.G., Nickel B.G, Constants of motion for nonslipping tippe tops and other tops with rounded pegs, Amer. J. Phys. 68 1999, 821-828.
    • (1999) Amer. J. Phys. , vol.68 , pp. 821-828
    • Gray, C.G.1    Nickel, B.G.2
  • 7
    • 0026405841 scopus 로고
    • Qualitative investigation of the dynamics of a top on a plane with friction
    • Karapetyan A.V., Qualitative investigation of the dynamics of a top on a plane with friction, J. Appl. Math. Mech. 55 1991, 563-565.
    • (1991) J. Appl. Math. Mech. , vol.55 , pp. 563-565
    • Karapetyan, A.V.1
  • 8
    • 0011136543 scopus 로고
    • On the specific character of the application of Routh's theory to systems with differential constraints
    • Karapetyan A.V., On the specific character of the application of Routh's theory to systems with differential constraints, J. Appl. Math. Mech. 58 1994, 387-392.
    • (1994) J. Appl. Math. Mech. , vol.58 , pp. 387-392
    • Karapetyan, A.V.1
  • 9
    • 52549130527 scopus 로고    scopus 로고
    • On the generalized Chaplygin integral
    • Kuleshov A.S., On the generalized Chaplygin integral, Regul. Chaotic Dyn. 6 2001, 227-232.
    • (2001) Regul. Chaotic Dyn. , vol.6 , pp. 227-232
    • Kuleshov, A.S.1
  • 11
    • 33645577433 scopus 로고
    • Qualitative analysis of the motion of a rigid body of revolution on an absolutely rough plane
    • Moshchuk N.K., Qualitative analysis of the motion of a rigid body of revolution on an absolutely rough plane, J. Appl. Math. Mech. 52 1988, 159-165.
    • (1988) J. Appl. Math. Mech. , vol.52 , pp. 159-165
    • Moshchuk, N.K.1
  • 14
    • 23644455850 scopus 로고    scopus 로고
    • Construction of Poincaŕe-Chetaev and Smale bifurcation diagrams for conservative nonholonomic systems with symmetry
    • Zobova A.A., Karapetyan A.V., Construction of Poincaŕe-Chetaev and Smale bifurcation diagrams for conservative nonholonomic systems with symmetry, J. Appl. Math. Mech. 69 2005, 183-194.
    • (2005) J. Appl. Math. Mech. , vol.69 , pp. 183-194
    • Zobova, A.A.1    Karapetyan, A.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.