-
8
-
-
0001743171
-
On Devaney's definition of chaos
-
Banks J., Brooks J., Cairns G., Davis G., Stacey P. On Devaney's definition of chaos. Amer. Math. Monthly 1992, 99:332.
-
(1992)
Amer. Math. Monthly
, vol.99
, pp. 332
-
-
Banks, J.1
Brooks, J.2
Cairns, G.3
Davis, G.4
Stacey, P.5
-
9
-
-
0004237425
-
-
Brooks/Cole, Pacific Grove, CA
-
Blanchard P., Devaney R.L., Hall G.R. Differential Equations 2002, Brooks/Cole, Pacific Grove, CA.
-
(2002)
Differential Equations
-
-
Blanchard, P.1
Devaney, R.L.2
Hall, G.R.3
-
10
-
-
0001881608
-
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
-
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
-
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
-
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
-
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
-
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
-
22
-
-
0003478288
-
-
Springer-Verlag, New York
-
Guckenheimer J., Holmes P. Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields 1983, Springer-Verlag, New York.
-
(1983)
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
-
-
Guckenheimer, J.1
Holmes, P.2
-
23
-
-
35649001607
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
37
-
-
0004043484
-
-
CRC Press, Boca Raton, FL
-
Robinson C. Dynamical Systems: Stability, Symbolic Dynamics, and Chaos 1995, CRC Press, Boca Raton, FL.
-
(1995)
Dynamical Systems: Stability, Symbolic Dynamics, and Chaos
-
-
Robinson, C.1
-
39
-
-
0035873112
-
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
-
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
-
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
-
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
-
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
|