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Volumn , Issue , 2013, Pages

Differential Equations, Dynamical Systems, and an Introduction to Chaos

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EID: 85013961182     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/C2009-0-61160-0     Document Type: Book
Times cited : (394)

References (47)
  • 10
    • 0001881608 scopus 로고
    • Knotted periodic orbits in dynamical systems I: Lorenz's equations
    • Birman J.S., Williams R.F. Knotted periodic orbits in dynamical systems I: Lorenz's equations. Topology 1983, 22:47.
    • (1983) Topology , vol.22 , pp. 47
    • Birman, J.S.1    Williams, R.F.2
  • 14
    • 84882146475 scopus 로고    scopus 로고
    • Math texts and digestion
    • Devaney K. Math texts and digestion. J. Obesity 2002, 23:1.8.
    • (2002) J. Obesity , vol.23
    • Devaney, K.1
  • 16
    • 0025388272 scopus 로고
    • Oscillator death in systems of coupled neural oscillators
    • Ermentrout G.B., Kopell N. Oscillator death in systems of coupled neural oscillators. SIAM J. Appl. Math. 1990, 50:125.
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 125
    • Ermentrout, G.B.1    Kopell, N.2
  • 18
    • 53349102813 scopus 로고
    • Impulses and physiological states in theoretical models of nerve membrane
    • Fitzhugh R. Impulses and physiological states in theoretical models of nerve membrane. Biophys. J. 1961, 1:445.
    • (1961) Biophys. J. , vol.1 , pp. 445
    • Fitzhugh, R.1
  • 19
    • 2942646686 scopus 로고    scopus 로고
    • An unfolding theory approach to bursting in fast-slow systems
    • Institute Physics, Bristol
    • Golubitsky M., Josić K., Kaper T. An unfolding theory approach to bursting in fast-slow systems. Global Theory of Dynamical Systems 2001, 277. Institute Physics, Bristol.
    • (2001) Global Theory of Dynamical Systems , pp. 277
    • Golubitsky, M.1    Josić, K.2    Kaper, T.3
  • 20
    • 0009217230 scopus 로고
    • The anisotropic Kepler problem in two dimensions
    • Gutzwiller M. The anisotropic Kepler problem in two dimensions. J. Math. Phys. 1973, 14:139.
    • (1973) J. Math. Phys. , vol.14 , pp. 139
    • Gutzwiller, M.1
  • 23
    • 35649001607 scopus 로고
    • A quantitative description of membrane current and its application to conduction and excitation in nerves
    • Hodgkin A.L., Huxley A.F. A quantitative description of membrane current and its application to conduction and excitation in nerves. J. Physiol. 1952, 117:500.
    • (1952) J. Physiol. , vol.117 , pp. 500
    • Hodgkin, A.L.1    Huxley, A.F.2
  • 25
    • 0033421670 scopus 로고    scopus 로고
    • Chaos, Cantor sets, and hyperbolicity for the logistic maps
    • Kraft R. Chaos, Cantor sets, and hyperbolicity for the logistic maps. Amer. Math. Monthly 1999, 106:400.
    • (1999) Amer. Math. Monthly , vol.106 , pp. 400
    • Kraft, R.1
  • 26
    • 21344491754 scopus 로고
    • On periodic orbits and homoclinic bifurcations in Chua's circuit with a smooth nonlinearity
    • Khibnik A., Roose D., Chua L. On periodic orbits and homoclinic bifurcations in Chua's circuit with a smooth nonlinearity. Intl. J. Bifurcation and Chaos 1993, 3:363.
    • (1993) Intl. J. Bifurcation and Chaos , vol.3 , pp. 363
    • Khibnik, A.1    Roose, D.2    Chua, L.3
  • 27
    • 0001676886 scopus 로고
    • Experimental and modeling study of oscillations in the chlorine dioxide-iodine-malonic acid reaction
    • Lengyel I., Rabai G., Epstein I. Experimental and modeling study of oscillations in the chlorine dioxide-iodine-malonic acid reaction. J. Amer. Chem. Soc. 1990, 112:9104.
    • (1990) J. Amer. Chem. Soc. , vol.112 , pp. 9104
    • Lengyel, I.1    Rabai, G.2    Epstein, I.3
  • 29
    • 0000241853 scopus 로고
    • Deterministic nonperiodic flow
    • Lorenz E. Deterministic nonperiodic flow. J. Atmos. Sci. 1963, 20:130.
    • (1963) J. Atmos. Sci. , vol.20 , pp. 130
    • Lorenz, E.1
  • 32
    • 0344430688 scopus 로고
    • Triple collision in the collinear three body problem
    • McGehee R. Triple collision in the collinear three body problem. Inventiones Math. 1974, 27:191.
    • (1974) Inventiones Math. , vol.27 , pp. 191
    • McGehee, R.1
  • 33
    • 0001810822 scopus 로고
    • Chaotic dynamics near triple collision
    • Moeckel R. Chaotic dynamics near triple collision. Arch. Rational Mech. Anal. 1989, 107:37.
    • (1989) Arch. Rational Mech. Anal. , vol.107 , pp. 37
    • Moeckel, R.1
  • 35
    • 6344238035 scopus 로고
    • An active pulse transmission line stimulating nerve axon
    • Nagumo J.S., Arimoto S., Yoshizawa S. An active pulse transmission line stimulating nerve axon. Proc. IRE 1962, 50:2061.
    • (1962) Proc. IRE , vol.50 , pp. 2061
    • Nagumo, J.S.1    Arimoto, S.2    Yoshizawa, S.3
  • 36
    • 49549126801 scopus 로고
    • An equation for continuous chaos
    • Rössler O.E. An equation for continuous chaos. Phys. Lett. A 1976, 57:397.
    • (1976) Phys. Lett. A , vol.57 , pp. 397
    • Rössler, O.E.1
  • 39
    • 0035873112 scopus 로고    scopus 로고
    • Kawahara dynamics in dispersive media
    • Schneider G., Wayne C.E. Kawahara dynamics in dispersive media. Physica D 2001, 152:384.
    • (2001) Physica D , vol.152 , pp. 384
    • Schneider, G.1    Wayne, C.E.2
  • 40
    • 0001234956 scopus 로고
    • A case of the existence of a countable set of periodic motions
    • Shilnikov L.P. A case of the existence of a countable set of periodic motions. Sov. Math. Dokl. 1965, 6:163.
    • (1965) Sov. Math. Dokl. , vol.6 , pp. 163
    • Shilnikov, L.P.1
  • 41
    • 4244116032 scopus 로고
    • Chua's circuit: rigorous results and future problems
    • Shilnikov L.P. Chua's circuit: rigorous results and future problems. Int. J. Bifurcation and Chaos 1994, 4:489.
    • (1994) Int. J. Bifurcation and Chaos , vol.4 , pp. 489
    • Shilnikov, L.P.1
  • 43
    • 0002737270 scopus 로고
    • Diffeomorphisms with many periodic points
    • Princeton University Press, Princeton
    • Smale S. Diffeomorphisms with many periodic points. Differential and Combinatorial Topology 1965, 63. Princeton University Press, Princeton.
    • (1965) Differential and Combinatorial Topology , pp. 63
    • Smale, S.1
  • 47
    • 0000378837 scopus 로고
    • The prehistory of the Belousov-Zhabotinsky reaction
    • Winfree A.T. The prehistory of the Belousov-Zhabotinsky reaction. J. Chem. Educ. 1984, 61:661.
    • (1984) J. Chem. Educ. , vol.61 , pp. 661
    • Winfree, A.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.