메뉴 건너뛰기




Volumn 463, Issue 2077, 2007, Pages 113-130

The Hide, Skeldon, Acheson dynamo revisited

Author keywords

Bifurcations; Dynamo models; Unstable periodic orbits

Indexed keywords


EID: 34047167580     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2006.1758     Document Type: Article
Times cited : (9)

References (20)
  • 1
    • 0039966926 scopus 로고
    • Recycling of strange sets: I. Cycle expansions
    • doi:10.1088/0951-7715/3/2/005
    • Artuso, R., Aurell, E. & Cvitanovic, P. 1990a Recycling of strange sets: I. Cycle expansions. Nonlinearity 3, 325-359. (doi:10.1088/0951-7715/3/2/005)
    • (1990) Nonlinearity , vol.3 , pp. 325-359
    • Artuso, R.1    Aurell, E.2    Cvitanovic, P.3
  • 2
    • 18344381399 scopus 로고
    • Recycling of strange sets: II. Applications
    • doi:10.1088/0951-7715/3/2/006
    • Artuso, R., Aurell, E. & Cvitanovic, P. 1990a Recycling of strange sets: II. Applications. Nonlinearity 3, 361-386. (doi:10.1088/0951-7715/3/2/006)
    • (1990) Nonlinearity , vol.3 , pp. 361-386
    • Artuso, R.1    Aurell, E.2    Cvitanovic, P.3
  • 3
    • 22444455689 scopus 로고    scopus 로고
    • Topological analysis of chaotic dynamical systems
    • doi:10.1103/RevModPhys.70.1455
    • Gilmore, R. 1998 Topological analysis of chaotic dynamical systems. Rev. Mod. Phys. 70, 1455-1530. (doi:10.1103/RevModPhys.70.1455)
    • (1998) Rev. Mod. Phys , vol.70 , pp. 1455-1530
    • Gilmore, R.1
  • 5
    • 0034238848 scopus 로고    scopus 로고
    • On the biasing effect of a battery on a self-exciting Faraday disk homopolar dynamo loaded with a linear series motor
    • doi:10.1142/S0218127400001146
    • Goldbrum, P., Moroz, I. M. & Hide, R. 2000 On the biasing effect of a battery on a self-exciting Faraday disk homopolar dynamo loaded with a linear series motor. Int. J. Bifurcat. Chaos 10, 1875-1885. (doi:10.1142/S0218127400001146)
    • (2000) Int. J. Bifurcat. Chaos , vol.10 , pp. 1875-1885
    • Goldbrum, P.1    Moroz, I.M.2    Hide, R.3
  • 6
    • 0001654924 scopus 로고
    • On the numerical computation of Poincaré maps
    • doi:10.1016/0167-2789(82)90034-3
    • Hénon, M. 1982 On the numerical computation of Poincaré maps. Physica D 5, 412-414. (doi:10.1016/0167-2789(82)90034-3)
    • (1982) Physica D , vol.5 , pp. 412-414
    • Hénon, M.1
  • 7
    • 0031390578 scopus 로고    scopus 로고
    • Nonlinear quenching of current fluctuations in a self-exciting homopolar dynamo
    • Hide, R. 1997a Nonlinear quenching of current fluctuations in a self-exciting homopolar dynamo. Nonlin. Process. Geophys. 4, 201-205.
    • (1997) Nonlin. Process. Geophys , vol.4 , pp. 201-205
    • Hide, R.1
  • 8
    • 0031421442 scopus 로고    scopus 로고
    • The nonlinear differential equations governing a hierarchy of self-exciting coupled Faraday-disk homopolar dynamos
    • doi:10.1016/S0031-9201(97)00038-1
    • Hide, R. 1997b The nonlinear differential equations governing a hierarchy of self-exciting coupled Faraday-disk homopolar dynamos. Phys. Earth Plan. Int. 103, 281-291. (doi:10.1016/S0031-9201(97)00038-1)
    • (1997) Phys. Earth Plan. Int , vol.103 , pp. 281-291
    • Hide, R.1
  • 9
    • 0346964835 scopus 로고    scopus 로고
    • Effects due to induced azimuthal eddy currents in the self-exciting Faraday disk homopolar dynamo with a nonlinear series motor: I. Two special cases
    • doi:10.1016/S0167-2789(99)00107-4
    • Hide, R. & Moroz, I. M. 1999 Effects due to induced azimuthal eddy currents in the self-exciting Faraday disk homopolar dynamo with a nonlinear series motor: I. Two special cases. Physica D 134, 287-301. (doi:10.1016/S0167-2789(99)00107-4)
    • (1999) Physica D , vol.134 , pp. 287-301
    • Hide, R.1    Moroz, I.M.2
  • 10
    • 33746750100 scopus 로고    scopus 로고
    • A study of two novel self-exciting single-disk homopolar dynamos: Theory
    • Hide, R., Skeldon, A. C. & Acheson, D. J. 1996 A study of two novel self-exciting single-disk homopolar dynamos: theory. Proc. R. Soc. A 452, 1369-1395.
    • (1996) Proc. R. Soc. A , vol.452 , pp. 1369-1395
    • Hide, R.1    Skeldon, A.C.2    Acheson, D.J.3
  • 11
    • 21844438555 scopus 로고
    • Phase description method to time averages in the Lorenz system
    • doi:10.1143/PTP.76.335
    • Koga, S. 1986 Phase description method to time averages in the Lorenz system. Prog. Theor. Phys. 76, 335-355. (doi:10.1143/PTP.76.335)
    • (1986) Prog. Theor. Phys , vol.76 , pp. 335-355
    • Koga, S.1
  • 12
    • 0000241853 scopus 로고
    • Deterministic non-periodic flow
    • doi:10.1175/1520-0469(1963)020!0130:DNFO2.0.CO;2
    • Lorenz, E. N. 1963 Deterministic non-periodic flow. J. Atmos. Sci. 20, 130-141. (doi:10.1175/1520-0469(1963)020!0130:DNFO2.0.CO;2)
    • (1963) J. Atmos. Sci , vol.20 , pp. 130-141
    • Lorenz, E.N.1
  • 13
    • 0035626987 scopus 로고    scopus 로고
    • On the behaviour of a self-exciting Faraday disk homopolar dynamo with battery in the presence of an external magnetic field
    • doi:10.1142/ S0218127401002948
    • Moroz, I. M. 2001a On the behaviour of a self-exciting Faraday disk homopolar dynamo with battery in the presence of an external magnetic field. Int. J. Bifurcat. Chaos 11, 1695-1705. (doi:10.1142/ S0218127401002948)
    • (2001) Int. J. Bifurcat. Chaos , vol.11 , pp. 1695-1705
    • Moroz, I.M.1
  • 14
    • 0035657217 scopus 로고    scopus 로고
    • Self-exciting Faraday disk homopolar dynamos
    • doi:10.1142/S0218127401004017
    • Moroz, I. M. 2001b Self-exciting Faraday disk homopolar dynamos. Int. J. Bifurcat. Chaos 11, 2961-2975. (doi:10.1142/S0218127401004017)
    • (2001) Int. J. Bifurcat. Chaos , vol.11 , pp. 2961-2975
    • Moroz, I.M.1
  • 15
    • 0036815812 scopus 로고    scopus 로고
    • On the behaviour of a self-exciting Faraday disk homopolar dynamo with a variable nonlinear series motor
    • doi:10.1142/S0218127402005728
    • Moroz, I. M. 2002 On the behaviour of a self-exciting Faraday disk homopolar dynamo with a variable nonlinear series motor. Int. J. Bifurcat. Chaos 12, 2123-2135. (doi:10.1142/S0218127402005728)
    • (2002) Int. J. Bifurcat. Chaos , vol.12 , pp. 2123-2135
    • Moroz, I.M.1
  • 16
    • 0037252416 scopus 로고    scopus 로고
    • The Malkus-Robbins dynamo with a linear series motor
    • doi:10.1142/ S0218127403006431
    • Moroz, I. M. 2003 The Malkus-Robbins dynamo with a linear series motor. Int. J. Bifurcat. Chaos 13, 147-161. (doi:10.1142/ S0218127403006431)
    • (2003) Int. J. Bifurcat. Chaos , vol.13 , pp. 147-161
    • Moroz, I.M.1
  • 17
    • 4944224860 scopus 로고    scopus 로고
    • The Malkus-Robbins dynamo with a nonlinear motor
    • doi:10.1142/ S0218127404010928
    • Moroz, I. M. 2004 The Malkus-Robbins dynamo with a nonlinear motor. Int. J. Bifurcat. Chaos 14, 2885-2892. (doi:10.1142/ S0218127404010928)
    • (2004) Int. J. Bifurcat. Chaos , vol.14 , pp. 2885-2892
    • Moroz, I.M.1
  • 18
    • 21844474291 scopus 로고    scopus 로고
    • The extended Malkus-Robbins dynamo as a perturbed Lorenz system
    • doi:10.1007/s11071-005-2808-x
    • Moroz, I. M. 2005a The extended Malkus-Robbins dynamo as a perturbed Lorenz system. Nonlin. Dynam. 41, 191-210. (doi:10.1007/s11071-005-2808-x)
    • (2005) Nonlin. Dynam , vol.41 , pp. 191-210
    • Moroz, I.M.1
  • 19
    • 85020779142 scopus 로고    scopus 로고
    • Unstable periodic orbits of the perturbed Lorenz equations, 7-12 August
    • Moroz, I. M. 2005b Unstable periodic orbits of the perturbed Lorenz equations. In ENOC-2005, Eindhoven, Netherlands, 7-12 August 2005, pp. 886-890.
    • (2005) ENOC-2005, Eindhoven, Netherlands , pp. 886-890
    • Moroz, I.M.1
  • 20
    • 0000608244 scopus 로고    scopus 로고
    • On self-exciting coupled Faraday disk homopolar dynamos driving series motors
    • doi:10.1016/S0167-2789(97)00305-9
    • Moroz, I. M., Hide, R. & Soward, A. M. 1998 On self-exciting coupled Faraday disk homopolar dynamos driving series motors. Physica D 117, 128-144. (doi:10.1016/S0167-2789(97)00305-9)
    • (1998) Physica D , vol.117 , pp. 128-144
    • Moroz, I.M.1    Hide, R.2    Soward, A.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.