메뉴 건너뛰기




Volumn 8, Issue 8, 1998, Pages 1675-1684

Parametric resonant control of chaos

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0040085032     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127498001340     Document Type: Review
Times cited : (23)

References (26)
  • 1
    • 0041192177 scopus 로고
    • Destochastization of a system with a strange attractor by parametric interaction
    • Alexeev, V. V. & Loskutov, A. Yu. [1987] "Destochasti-zation of a system with a strange attractor by parametric interaction," Dokl. Akad. Nauk SSSR 293, 1346-1349.
    • (1987) Dokl. Akad. Nauk SSSR , vol.293 , pp. 1346-1349
    • Alexeev, V.V.1    Loskutov, A.Yu.2
  • 4
    • 35949037738 scopus 로고
    • Kolmogorov entropy and numerical experiments
    • Benettin, G., Galgani, L. & Strelcyn, J. M. [1976] "Kolmogorov entropy and numerical experiments," Phys. Rev. A14, 2338-2345.
    • (1976) Phys. Rev. , vol.A14 , pp. 2338-2345
    • Benettin, G.1    Galgani, L.2    Strelcyn, J.M.3
  • 5
    • 85035223464 scopus 로고    scopus 로고
    • Riemannian theory of Hamiltonian chaos and Lyapunov exponents
    • Casetti, L., Clementi, C. & Pettini, M. [1996] "Riemannian theory of Hamiltonian chaos and Lyapunov exponents," Phys. Rev. E54, 5969-5984.
    • (1996) Phys. Rev. , vol.E54 , pp. 5969-5984
    • Casetti, L.1    Clementi, C.2    Pettini, M.3
  • 6
    • 0000042390 scopus 로고    scopus 로고
    • Geometric description of chaos in two-degrees of freedom Hamiltonian systems
    • Cerruti-Sola, M. & Pettini, M. [1996] "Geometric description of chaos in two-degrees of freedom Hamiltonian systems," Phys. Rev. E53, 179-188.
    • (1996) Phys. Rev. , vol.E53 , pp. 179-188
    • Cerruti-Sola, M.1    Pettini, M.2
  • 7
    • 0012097571 scopus 로고
    • A universal instability of many-dimensional oscillator systems
    • Chirikov, B. V. [1979] "A universal instability of many-dimensional oscillator systems," Phys. Rep. 52, 263-379.
    • (1979) Phys. Rep. , vol.52 , pp. 263-379
    • Chirikov, B.V.1
  • 8
    • 0141478640 scopus 로고
    • From chaos to order - Perspectives and methodologies in controlling chaotic nonlinear dynamical systems
    • Chen, G. & Dong, X. [1993] "From chaos to order - Perspectives and methodologies in controlling chaotic nonlinear dynamical systems," Int. J. Bifurcation and Chaos 3, 1363-1409.
    • (1993) Int. J. Bifurcation and Chaos , vol.3 , pp. 1363-1409
    • Chen, G.1    Dong, X.2
  • 9
    • 0001649056 scopus 로고
    • Experimental evidence of suppression of chaos by resonant parametric perturbations
    • Fronzoni, L., Giocondo, M. & Pettini, M. [1991] "Experimental evidence of suppression of chaos by resonant parametric perturbations," Phys. Rev. A43, 6483-6487.
    • (1991) Phys. Rev. , vol.A43 , pp. 6483-6487
    • Fronzoni, L.1    Giocondo, M.2    Pettini, M.3
  • 11
    • 0021408761 scopus 로고
    • Elimination of stochasticity in stellarators
    • Hanson, J. D. & Cary, J. R. [1984] "Elimination of stochasticity in stellarators," Phys. Fluids 27, 767-769.
    • (1984) Phys. Fluids , vol.27 , pp. 767-769
    • Hanson, J.D.1    Cary, J.R.2
  • 13
    • 9644266471 scopus 로고
    • Suppression of chaos by resonant parametric perturbations
    • Lima, R. & Pettini, M. [1990] "Suppression of chaos by resonant parametric perturbations," Phys. Rev. A41, 726-733.
    • (1990) Phys. Rev. , vol.A41 , pp. 726-733
    • Lima, R.1    Pettini, M.2
  • 14
    • 23644443617 scopus 로고
    • Reply to comment on suppression of chaos by resonant parametric perturbations
    • Lima, R. and Pettini, M. [1993] "Reply to comment on suppression of chaos by resonant parametric perturbations," Phys. Rev. E47, 4630-4631.
    • (1993) Phys. Rev. , vol.E47 , pp. 4630-4631
    • Lima, R.1    Pettini, M.2
  • 17
    • 85033902879 scopus 로고
    • A horseshoe in the dynamics of a forced beam
    • ed. Helleman, R. H. G. (The New York Academy of Science, NY)
    • Marsden, J. E. & Holmes, P. J. [1980] "A horseshoe in the dynamics of a forced beam," in Nonlinear Dynamics, ed. Helleman, R. H. G. (The New York Academy of Science, NY).
    • (1980) Nonlinear Dynamics
    • Marsden, J.E.1    Holmes, P.J.2
  • 20
    • 0001143034 scopus 로고
    • Chaotic diffusion across a magnetic field in a model of electrostatic turbulent plasma
    • and references quoted therein
    • Pettini, M. et al. [1988] "Chaotic diffusion across a magnetic field in a model of electrostatic turbulent plasma," Phys. Rev. A38, 344-363, and references quoted therein.
    • (1988) Phys. Rev. , vol.A38 , pp. 344-363
    • Pettini, M.1
  • 21
    • 0004834421 scopus 로고
    • Controlling chaos through parametric excitations
    • eds. Lima, R., Streit, L. & Vilela-Mendes, R. V. (Springer-Verlag, NY)
    • Pettini, M. [1988] "Controlling chaos through parametric excitations," in Dynamics and Stochastic processes, eds. Lima, R., Streit, L. & Vilela-Mendes, R. V. (Springer-Verlag, NY), pp. 242-250.
    • (1988) Dynamics and Stochastic Processes , pp. 242-250
    • Pettini, M.1
  • 22
    • 5544287621 scopus 로고
    • Geometrical hints for a nonperturbative approach to Hamiltonian dynamics
    • and general references quoted therein
    • Pettini, M. [1993] "Geometrical hints for a nonperturbative approach to Hamiltonian dynamics," Phys. Rev. E47, 828-850, and general references quoted therein.
    • (1993) Phys. Rev. , vol.E47 , pp. 828-850
    • Pettini, M.1
  • 23
    • 21844500455 scopus 로고
    • On the Riemannian description of chaotic instability in Hamiltonian dynamics
    • Pettini, M. & Valdettaro, R. [1995] "On the Riemannian description of chaotic instability in Hamiltonian dynamics," Chaos 5, 646-652.
    • (1995) Chaos , vol.5 , pp. 646-652
    • Pettini, M.1    Valdettaro, R.2
  • 24
    • 0000510199 scopus 로고
    • Destruction of magnetic surfaces by magnetic field irregularities
    • Rosenbluth, M. N., Sagdeev, R. Z., Taylor, J. B. & Zaslavsky, G. M. [1966] "Destruction of magnetic surfaces by magnetic field irregularities," Nucl. Fusion 6, 297-300.
    • (1966) Nucl. Fusion , vol.6 , pp. 297-300
    • Rosenbluth, M.N.1    Sagdeev, R.Z.2    Taylor, J.B.3    Zaslavsky, G.M.4
  • 26
    • 0003138476 scopus 로고
    • Stability of dynamical systems
    • Zeeman, E. C. [1988] "Stability of dynamical systems," Nonlinearity 1, 115-155.
    • (1988) Nonlinearity , vol.1 , pp. 115-155
    • Zeeman, E.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.