-
1
-
-
0001870459
-
The dynamics of the Hénon map
-
Benedicks M., Carleson L.: The dynamics of the Hénon map. Ann. of Math. (2) 133, 73-169 (1991).
-
(1991)
Ann. Of Math
, vol.133
, Issue.2
, pp. 73-169
-
-
Benedicks, M.1
Carleson, L.2
-
2
-
-
33845317713
-
Sinai-Bowen-Ruelle measures for certain Henon maps
-
Benedicks M., Young L.-S.: Sinai-Bowen-Ruelle measures for certain Henon maps. Invent. Math. 112, 541-576 (1993).
-
(1993)
Invent. Math.
, vol.112
, pp. 541-576
-
-
Benedicks, M.1
Young, L.-S.2
-
3
-
-
77957302333
-
-
R. Bowen, Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms. Lecture Notes in Mathematics 470, Springer-Verlag, New York, 1975.
-
-
-
-
4
-
-
0013501719
-
The ergodic theory of Axiom A flows
-
Bowen R., Ruelle D.: The ergodic theory of Axiom A flows. Invent. Math. 29, 181-202 (1975).
-
(1975)
Invent. Math.
, vol.29
, pp. 181-202
-
-
Bowen, R.1
Ruelle, D.2
-
5
-
-
0000386549
-
On nonlinear differential equations of the second order
-
Cartwright M. L., Littlewood J. E.: On nonlinear differential equations of the second order. J. London Math. Soc. 20, 180-189 (1945).
-
(1945)
J. London Math. Soc.
, vol.20
, pp. 180-189
-
-
Cartwright, M.L.1
Littlewood, J.E.2
-
6
-
-
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. 1, 445-466 (1961).
-
(1961)
Biophys. J.
, vol.1
, pp. 445-466
-
-
Fitzhugh, R.1
-
7
-
-
77957295825
-
-
J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. Applied Mathematical Sciences 42, Springer-Verlag, New York, 1983.
-
-
-
-
9
-
-
58149392828
-
Horseshoes in the forced van der Pol system
-
Haiduc R.: Horseshoes in the forced van der Pol system. Nonlinearity 22, 213-237 (2009).
-
(2009)
Nonlinearity
, vol.22
, pp. 213-237
-
-
Haiduc, R.1
-
10
-
-
77957313490
-
-
M. W. Hirsch, C. C. Pugh and M. Shub, Invariant Manifolds. Lecture Notes in Mathematics 583, Springer-Verlag, New York, 1977.
-
-
-
-
11
-
-
0001048955
-
The metric entropy of diffeomorphisms
-
Ledrappier F., Young L.-S.: The metric entropy of diffeomorphisms. Ann. of Math. (2) 122, 509-574 (1985).
-
(1985)
Ann. Of Math
, vol.122
, Issue.2
, pp. 509-574
-
-
Ledrappier, F.1
Young, L.-S.2
-
12
-
-
0002887375
-
Qualitative analysis of the periodically forced relaxation oscillations
-
Levi M.: Qualitative analysis of the periodically forced relaxation oscillations. Mem. Amer. Math. Soc. 32, 1-147 (1981).
-
(1981)
Mem. Amer. Math. Soc.
, vol.32
, pp. 1-147
-
-
Levi, M.1
-
13
-
-
0000057066
-
A second order differential equation with singular solutions
-
Levinson N.: A second order differential equation with singular solutions. Ann. of Math. (2) 50, 127-153 (1949).
-
(1949)
Ann. Of Math
, vol.50
, Issue.2
, pp. 127-153
-
-
Levinson, N.1
-
14
-
-
43049129652
-
Shear-induced chaos
-
Lin K. K., Young L.-S.: Shear-induced chaos. Nonlinearity 21, 899-922 (2008).
-
(2008)
Nonlinearity
, vol.21
, pp. 899-922
-
-
Lin, K.K.1
Young, L.-S.2
-
15
-
-
77957292461
-
-
K. Lu, Q. Wang and L.-S. Young, Strange attractors for periodically forced parabolic equations. Preprint.
-
-
-
-
16
-
-
51249183577
-
Absolutely continuous measures for certain maps of an interval
-
Misiurewciz M.: Absolutely continuous measures for certain maps of an interval. Publ. Math. Inst. Hautes Études Sci. 53, 17-51 (1981).
-
(1981)
Publ. Math. Inst. Hautes Études Sci.
, vol.53
, pp. 17-51
-
-
Misiurewciz, M.1
-
17
-
-
77957299464
-
-
S. Newhouse, Lectures on dynamical systems. In: Dynamical Systems (C. I. M. E. Summer School, Bressanone, 1978), Progr. Math. 8, Birkhäuser Boston, Mass., 1980, 1-114.
-
-
-
-
18
-
-
0000543733
-
A multiplicative ergodic theorem: Liapunov characteristic numbers for dynamical systems
-
Oseledec V. I.: A multiplicative ergodic theorem: Liapunov characteristic numbers for dynamical systems. Trans. Moscow Math. Soc. 19, 197-231 (1968).
-
(1968)
Trans. Moscow Math. Soc.
, vol.19
, pp. 197-231
-
-
Oseledec, V.I.1
-
19
-
-
77949659246
-
From limit cycles to strange attractors
-
Ott W., Stenlund M.: From limit cycles to strange attractors. Comm. Math. Phys. 296, 215-249 (2010).
-
(2010)
Comm. Math. Phys.
, vol.296
, pp. 215-249
-
-
Ott, W.1
Stenlund, M.2
-
20
-
-
84961291543
-
Characteristic Lyapunov exponents and smooth ergodic theory
-
Pesin Ya. B.: Characteristic Lyapunov exponents and smooth ergodic theory. Russian Math. Surveys 32, 55-114 (1977).
-
(1977)
Russian Math. Surveys
, vol.32
, pp. 55-114
-
-
Pesin, Y.B.1
-
22
-
-
0000809231
-
A measure associated with Axiom-A attractors
-
Ruelle D.: A measure associated with Axiom-A attractors. Amer. J. Math. 98, 619-654 (1976).
-
(1976)
Amer. J. Math.
, vol.98
, pp. 619-654
-
-
Ruelle, D.1
-
23
-
-
51649166261
-
Ergodic theory of differentiable dynamical systems
-
Ruelle D.: Ergodic theory of differentiable dynamical systems. Publ. Math. Inst. Hautes Études Sci. 50, 27-58 (1979).
-
(1979)
Publ. Math. Inst. Hautes Études Sci.
, vol.50
, pp. 27-58
-
-
Ruelle, D.1
-
24
-
-
84956071330
-
Gibbs measure in ergodic theory
-
Sinai Ya. G.: Gibbs measure in ergodic theory. Russian Math. Surveys 27, 21-69 (1972).
-
(1972)
Russian Math. Surveys
, vol.27
, pp. 21-69
-
-
Sinai, Y.G.1
-
25
-
-
84968514104
-
Differentiable dynamical systems
-
Smale S.: Differentiable dynamical systems. Bull. Amer. Math. Soc. 73, 747-817 (1967).
-
(1967)
Bull. Amer. Math. Soc.
, vol.73
, pp. 747-817
-
-
Smale, S.1
-
26
-
-
30244449696
-
Frequency demultiplication
-
van der Pol B., van der Mark J.: Frequency demultiplication. Nature 120, 363-364 (1927).
-
(1927)
Nature
, vol.120
, pp. 363-364
-
-
van der Pol, B.1
van der Mark, J.2
-
27
-
-
77957320120
-
-
Q. Wang and W. Ott, Dissipative homoclinic loops and rank one chaos. Preprint.
-
-
-
-
28
-
-
0035531747
-
Strange attractors with one direction of instability
-
Wang Q., Young L.-S.: Strange attractors with one direction of instability. Comm. Math. Phys. 218, 1-97 (2001).
-
(2001)
Comm. Math. Phys.
, vol.218
, pp. 1-97
-
-
Wang, Q.1
Young, L.-S.2
-
29
-
-
0036117030
-
From invariant curves to strange attractors
-
Wang Q., Young L.-S.: From invariant curves to strange attractors. Comm. Math. Phys. 225, 275-304 (2002).
-
(2002)
Comm. Math. Phys.
, vol.225
, pp. 275-304
-
-
Wang, Q.1
Young, L.-S.2
-
30
-
-
0141792292
-
Strange attractors in periodically-kicked limit cycles and Hopf bifurcations
-
Wang Q., Young L.-S.: Strange attractors in periodically-kicked limit cycles and Hopf bifurcations. Comm. Math. Phys. 240, 509-529 (2003).
-
(2003)
Comm. Math. Phys.
, vol.240
, pp. 509-529
-
-
Wang, Q.1
Young, L.-S.2
-
31
-
-
43049124591
-
Toward a theory of rank one attractors
-
Wang Q., Young L.-S.: Toward a theory of rank one attractors. Ann. of Math. (2) 167, 349-480 (2008).
-
(2008)
Ann. Of Math
, vol.167
, Issue.2
, pp. 349-480
-
-
Wang, Q.1
Young, L.-S.2
-
32
-
-
77957316457
-
-
Q. Wang and L.-S. Young, Dynamical profile of a class of rank one attractors Preprint.
-
-
-
-
34
-
-
0141450378
-
What are SRB measures, and which dynamical systems have them?
-
Young L.-S.: What are SRB measures, and which dynamical systems have them?. J. Statist. Phys. 108, 733-754 (2002).
-
(2002)
J. Statist. Phys.
, vol.108
, pp. 733-754
-
-
Young, L.-S.1
-
35
-
-
0000027441
-
The simplest case of a strange attractor
-
Zaslavsky G.: The simplest case of a strange attractor. Phys. Lett. A 69, 145-147 (1978).
-
(1978)
Phys. Lett. A
, vol.69
, pp. 145-147
-
-
Zaslavsky, G.1
|