-
8
-
-
0001743171
-
On Devaney's definition of chaos
-
J. Banks, J. Brooks, G. Cairns, G. Davis and P. Stacey (1992) On Devaney's definition of chaos. Amer. Math. Monthly 99 332.
-
(1992)
Amer. Math. Monthly
, vol.99
, pp. 332
-
-
Bank, J.1
Brook, J.2
Cairn, G.3
Davi, G.4
Stace, P.5
-
10
-
-
0001881608
-
Knotted periodic orbits in dynamical systems I: Lorenz's equations
-
J.S. Birman and R.F. Williams (1983) Knotted periodic orbits in dynamical systems I: Lorenz's equations. Topology 22 47.
-
(1983)
Topology
, vol.22
, pp. 47
-
-
Birma, J.S.1
William, R.F.2
-
14
-
-
84882146475
-
Math texts and digestion
-
K. Devaney (2002) Math texts and digestion. J. Obesity 23 1.8.
-
(2002)
J. Obesity
, vol.23
, pp. 1.8
-
-
Devane, K.1
-
16
-
-
0025388272
-
Oscillator death in systems of coupled neural oscillators
-
G.B. Ermentrout and N. Kopell (1990) Oscillator death in systems of coupled neural oscillators. SIAM J. Appl. Math. 50 125.
-
(1990)
SIAM J. Appl. Math.
, vol.50
, pp. 125
-
-
Ermentrou, G.B.1
Kopel, N.2
-
18
-
-
53349102813
-
Impulses and physiological states in theoretical models of nerve membrane
-
R. Fitzhugh (1961) Impulses and physiological states in theoretical models of nerve membrane. Biophys. J. 1 445.
-
(1961)
Biophys. J.
, vol.1
, pp. 445
-
-
Fitzhug, R.1
-
19
-
-
2942646686
-
An unfolding theory approach to bursting in fast-slow systems
-
Bristol: Institute Physic
-
M. Golubitsky, K. Josić and T. Kaper (2001) An unfolding theory approach to bursting in fast-slow systems. Global Theory of Dynamical Systems Bristol: Institute Physics 277.
-
(2001)
Global Theory of Dynamical Systems
, pp. 277
-
-
Golubitsk, M.1
Josić, K.2
Kape, T.3
-
20
-
-
0009217230
-
The anisotropic Kepler problem in two dimensions
-
M. Gutzwiller (1973) The anisotropic Kepler problem in two dimensions. J. Math. Phys. 14 139.
-
(1973)
J. Math. Phys.
, vol.14
, pp. 139
-
-
Gutzwille, M.1
-
21
-
-
51649168546
-
Structural stability of Lorenz attractors
-
J. Guckenheimer and R.F. Williams (1979) Structural stability of Lorenz attractors. Publ. Math. IHES. 50 59.
-
(1979)
Publ. Math. IHES.
, vol.50
, pp. 59
-
-
Guckenheime, J.1
William, R.F.2
-
23
-
-
35649001607
-
A quantitative description of membrane current and its application to conduction and excitation in nerves
-
A.L. Hodgkin and A.F. Huxley (1952) A quantitative description of membrane current and its application to conduction and excitation in nerves. J. Physiol. 117 500.
-
(1952)
J. Physiol.
, vol.117
, pp. 500
-
-
Hodgki, A.L.1
Huxle, A.F.2
-
25
-
-
0033421670
-
Chaos, Cantor sets, and hyperbolicity for the logistic maps
-
R. Kraft (1999) Chaos, Cantor sets, and hyperbolicity for the logistic maps. Amer. Math. Monthly 106 400.
-
(1999)
Amer. Math. Monthly
, vol.106
, pp. 400
-
-
Kraf, R.1
-
26
-
-
21344491754
-
On periodic orbits and homoclinic bifurcations in Chua's circuit with a smooth nonlinearity
-
A. Khibnik, D. Roose and L. Chua (1993) On periodic orbits and homoclinic bifurcations in Chua's circuit with a smooth nonlinearity. Intl. J. Bifurcation and Chaos 3 363.
-
(1993)
Intl. J. Bifurcation and Chaos
, vol.3
, pp. 363
-
-
Khibni, A.1
Roos, D.2
Chu, L.3
-
27
-
-
0001676886
-
Experimental and modeling study of oscillations in the chlorine dioxide–iodine–malonic acid reaction
-
I. Lengyel, G. Rabai and I. Epstein (1990) Experimental and modeling study of oscillations in the chlorine dioxide–iodine–malonic acid reaction. J. Amer. Chem. Soc. 112 9104.
-
(1990)
J. Amer. Chem. Soc.
, vol.112
, pp. 9104
-
-
Lengye, I.1
Raba, G.2
Epstei, I.3
-
29
-
-
0000241853
-
Deterministic nonperiodic flow
-
E. Lorenz (1963) Deterministic nonperiodic flow. J. Atmos. Sci. 20 130.
-
(1963)
J. Atmos. Sci.
, vol.20
, pp. 130
-
-
Loren, E.1
-
32
-
-
0344430688
-
Triple collision in the collinear three body problem
-
R. McGehee (1974) Triple collision in the collinear three body problem. Inventiones Math. 27 191.
-
(1974)
Inventiones Math.
, vol.27
, pp. 191
-
-
McGehe, R.1
-
33
-
-
0001810822
-
Chaotic dynamics near triple collision
-
R. Moeckel (1989) Chaotic dynamics near triple collision. Arch. Rational Mech. Anal. 107 37.
-
(1989)
Arch. Rational Mech. Anal.
, vol.107
, pp. 37
-
-
Moecke, R.1
-
35
-
-
6344238035
-
An active pulse transmission line stimulating nerve axon
-
J.S. Nagumo, S. Arimoto and S. Yoshizawa (1962) An active pulse transmission line stimulating nerve axon. Proc. IRE 50 2061.
-
(1962)
Proc. IRE
, vol.50
, pp. 2061
-
-
Nagum, J.S.1
Arimot, S.2
Yoshizaw, S.3
-
36
-
-
49549126801
-
An equation for continuous chaos
-
O.E. Rössler (1976) An equation for continuous chaos. Phys. Lett. A 57 397.
-
(1976)
Phys. Lett. A
, vol.57
, pp. 397
-
-
Rössle, O.E.1
-
39
-
-
0035873112
-
Kawahara dynamics in dispersive media
-
G. Schneider and C.E. Wayne (2001) Kawahara dynamics in dispersive media. Physica D 152 384.
-
(2001)
Physica D
, vol.152
, pp. 384
-
-
Schneide, G.1
Wayn, C.E.2
-
40
-
-
0001234956
-
A case of the existence of a countable set of periodic motions
-
L.P. Shilnikov (1965) A case of the existence of a countable set of periodic motions. Sov. Math. Dokl. 6 163.
-
(1965)
Sov. Math. Dokl.
, vol.6
, pp. 163
-
-
Shilniko, L.P.1
-
41
-
-
4244116032
-
Chua's circuit: rigorous results and future problems
-
L.P. Shilnikov (1994) Chua's circuit: rigorous results and future problems. Int. J. Bifurcation and Chaos 4 489.
-
(1994)
Int. J. Bifurcation and Chaos
, vol.4
, pp. 489
-
-
Shilniko, L.P.1
-
43
-
-
0002737270
-
Diffeomorphisms with many periodic points
-
Princeton: Princeton University Pres
-
S. Smale (1965) Diffeomorphisms with many periodic points. Differential and Combinatorial Topology Princeton: Princeton University Press 63.
-
(1965)
Differential and Combinatorial Topology
, pp. 63
-
-
Smal, S.1
-
47
-
-
0000378837
-
The prehistory of the Belousov-Zhabotinsky reaction
-
A.T. Winfree (1984) The prehistory of the Belousov-Zhabotinsky reaction. J. Chem. Educ. 61 661.
-
(1984)
J. Chem. Educ.
, vol.61
, pp. 661
-
-
Winfre, A.T.1
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