-
1
-
-
6144229366
-
From attractor to chaotic saddle: A tale of transverse instability
-
P. ASHWIN, J. BUESCU, AND I. STEWART, From attractor to chaotic saddle: A tale of transverse instability, Nonlinearity, 9 (1996), pp. 703-737.
-
(1996)
Nonlinearity
, vol.9
, pp. 703-737
-
-
ASHWIN, P.1
BUESCU, J.2
STEWART, I.3
-
2
-
-
34250112778
-
On the concept of attractors
-
J. MILNOR, On the concept of attractors, Commun. Math. Phys., 99 (1985), pp. 177-195.
-
(1985)
Commun. Math. Phys
, vol.99
, pp. 177-195
-
-
MILNOR, J.1
-
3
-
-
0003594964
-
-
Cambridge University Press, Cambridge, UK
-
A. PIKOVSKY, M. ROSENBLUM, AND J. KURTHS, Synchronization: A Universal Concept in Nonlinear Sciences, Cambridge University Press, Cambridge, UK, 2001.
-
(2001)
Synchronization: A Universal Concept in Nonlinear Sciences
-
-
PIKOVSKY, A.1
ROSENBLUM, M.2
KURTHS, J.3
-
6
-
-
0038396314
-
-
Phys. Rev. E, 67 , article 026209
-
Y. H. CHEN, G. RANGARAJAN, AND M. DING, General stability analysis of synchronized dynamics in coupled systems, Phys. Rev. E, 67 (2003), article 026209.
-
(2003)
General stability analysis of synchronized dynamics in coupled systems
-
-
CHEN, Y.H.1
RANGARAJAN, G.2
DING, M.3
-
7
-
-
2542431567
-
-
Phys. Rev. Lett, 92 , article 144101
-
F. M. ATAY, J. JOST, AND A. WENDE, Delays, connection topology, and synchronization of coupled chaotic maps, Phys. Rev. Lett., 92 (2004), article 144101.
-
(2004)
Delays, connection topology, and synchronization of coupled chaotic maps
-
-
ATAY, F.M.1
JOST, J.2
WENDE, A.3
-
8
-
-
6444234243
-
Synchronization of linearly coupled networks with discrete time systems
-
W. LU AND T. CHEN, Synchronization of linearly coupled networks with discrete time systems, Phys. D, 198 (2004), pp. 148-168.
-
(2004)
Phys. D
, vol.198
, pp. 148-168
-
-
LU, W.1
CHEN, T.2
-
9
-
-
22544454677
-
Synchronization in networks of nonlinear dynamical systems coupled via a directed graph
-
C. W. WU, Synchronization in networks of nonlinear dynamical systems coupled via a directed graph, Nonlinearity, 18 (2005), pp. 1057-1064.
-
(2005)
Nonlinearity
, vol.18
, pp. 1057-1064
-
-
WU, C.W.1
-
10
-
-
33947580864
-
Global synchronization of linearly coupled Lipschitz map lattices with a directed graph
-
W. LU AND T. CHEN, Global synchronization of linearly coupled Lipschitz map lattices with a directed graph, IEEE Trans. Circuits Syst. II Express Briefs, 54 (2007), pp. 136-140.
-
(2007)
IEEE Trans. Circuits Syst. II Express Briefs
, vol.54
, pp. 136-140
-
-
LU, W.1
CHEN, T.2
-
11
-
-
4644244041
-
Consensus problems in networks of agents with switching topology and time-delays
-
R. OLFATI-SABER AND R. M. MURRAY, Consensus problems in networks of agents with switching topology and time-delays, IEEE Trans. Automat. Control, 49 (2004), pp. 1520-1533.
-
(2004)
IEEE Trans. Automat. Control
, vol.49
, pp. 1520-1533
-
-
OLFATI-SABER, R.1
MURRAY, R.M.2
-
13
-
-
0001730998
-
Novel type of phase transitions in a system of self-driven particles
-
T. VICSEK, A. CZIRÓK, E. BEN- JACOB, I. COHEN, AND O. SCHOCHET, Novel type of phase transitions in a system of self-driven particles, Phys. Rev. Lett, 75 (1995), pp. 1226-1229.
-
(1995)
Phys. Rev. Lett
, vol.75
, pp. 1226-1229
-
-
VICSEK, T.1
CZIRÓK, A.2
BEN- JACOB, E.3
COHEN, I.4
SCHOCHET, O.5
-
14
-
-
12944293796
-
Stability of multiagent systems with time dependent communication links
-
L. MOREAU, Stability of multiagent systems with time dependent communication links, IEEE Trans. Automat. Control, 50 (2005), pp. 169-182.
-
(2005)
IEEE Trans. Automat. Control
, vol.50
, pp. 169-182
-
-
MOREAU, L.1
-
15
-
-
21344466279
-
A time-varying complex dynamical network model and its controlled synchronization criterion
-
J. H. LU AND G. CHEN, A time-varying complex dynamical network model and its controlled synchronization criterion, IEEE Trans. Automat. Control, 50 (2005), pp. 841-846.
-
(2005)
IEEE Trans. Automat. Control
, vol.50
, pp. 841-846
-
-
LU, J.H.1
CHEN, G.2
-
16
-
-
3042858242
-
Connection graph stability method for synchronized coupled chaotic systems
-
I. V. BELYKH, V. N. BELYKH, AND M. HASLER, Connection graph stability method for synchronized coupled chaotic systems, Phys. D, 195 (2004), pp. 159-187.
-
(2004)
Phys. D
, vol.195
, pp. 159-187
-
-
BELYKH, I.V.1
BELYKH, V.N.2
HASLER, M.3
-
17
-
-
33644881136
-
Sufficient conditions for fast switching synchronization in time-varying network topologies
-
D. J. STILWELL, E. M. BOLLT, AND D. G. ROBERSON, Sufficient conditions for fast switching synchronization in time-varying network topologies, SIAM J. Appl. Dyn. Syst., 5 (2006), pp. 140-156.
-
(2006)
SIAM J. Appl. Dyn. Syst
, vol.5
, pp. 140-156
-
-
STILWELL, D.J.1
BOLLT, E.M.2
ROBERSON, D.G.3
-
18
-
-
84974281204
-
Weak ergodicity in nonhomogeneous Markov chains
-
J. HAJNAL, Weak ergodicity in nonhomogeneous Markov chains, Proc. Camb. Phil. Soc., 54 (1958), pp. 233-246.
-
(1958)
Proc. Camb. Phil. Soc
, vol.54
, pp. 233-246
-
-
HAJNAL, J.1
-
19
-
-
0039437125
-
The ergodic properties of nonhomogeneous finite Markov chains
-
J. HAJNAL, The ergodic properties of nonhomogeneous finite Markov chains, Proc. Camb. Phil. Soc., 52 (1956), pp. 67-77.
-
(1956)
Proc. Camb. Phil. Soc
, vol.52
, pp. 67-77
-
-
HAJNAL, J.1
-
20
-
-
47149086317
-
A geometric approach to ergodic nonhomogeneous Markov chains
-
Wavelet Analysis and Multiresolution Methods Urbana-Champaign, IL, Dekker, New York
-
J. SHEN, A geometric approach to ergodic nonhomogeneous Markov chains, in Wavelet Analysis and Multiresolution Methods (Urbana-Champaign, IL, 1999), Lecture Notes in Pure and Appl. Math. 212, Dekker, New York, 2000, pp. 341-366.
-
(1999)
Lecture Notes in Pure and Appl. Math
, vol.212
, pp. 341-366
-
-
SHEN, J.1
-
21
-
-
84941375215
-
Über Differentialungleichungen
-
P. BOHL, Über Differentialungleichungen, J. Reine Angew. Math., 144 (1913), pp. 284-313.
-
(1913)
J. Reine Angew. Math
, vol.144
, pp. 284-313
-
-
BOHL, P.1
-
22
-
-
0012707747
-
Lyapunov Exponents and Smooth Ergodic Theory
-
AMS, Providence, RI
-
L. BARREIRA AND Y. B. PESIN, Lyapunov Exponents and Smooth Ergodic Theory, University Lecture Series, AMS, Providence, RI, 2001.
-
(2001)
University Lecture Series
-
-
BARREIRA, L.1
PESIN, Y.B.2
-
23
-
-
21444453897
-
The Lyapunov spectrum of families of time-varying matrices
-
F. COLONIUS AND W. KLIEMANN, The Lyapunov spectrum of families of time-varying matrices, Trans. Amer. Math. Soc., 348 (1996), pp. 4398-4408.
-
(1996)
Trans. Amer. Math. Soc
, vol.348
, pp. 4398-4408
-
-
COLONIUS, F.1
KLIEMANN, W.2
-
24
-
-
84966219276
-
Products of indecomposable, aperiodic, stochastic matrices
-
J. WOLFWITZ, Products of indecomposable, aperiodic, stochastic matrices, Proc. Amer. Math. Soc., 14 (1963), pp. 733-737.
-
(1963)
Proc. Amer. Math. Soc
, vol.14
, pp. 733-737
-
-
WOLFWITZ, J.1
-
26
-
-
0001996785
-
On the concept of attractor: Correction and remarks
-
J. MILNOR, On the concept of attractor: Correction and remarks, Commun. Math. Phys., 102 (1985), pp. 517-519.
-
(1985)
Commun. Math. Phys
, vol.102
, pp. 517-519
-
-
MILNOR, J.1
-
27
-
-
0001219086
-
Sets of matrices all infinite product, of which converge
-
I. DAUBECHIES AND J. C. LAGARIAS, Sets of matrices all infinite product, of which converge, Linear Algebra Appl., 161 (1992), pp. 227-263.
-
(1992)
Linear Algebra Appl
, vol.161
, pp. 227-263
-
-
DAUBECHIES, I.1
LAGARIAS, J.C.2
-
29
-
-
33750991862
-
Network synchronization: Spectral versus statistical properties
-
F. M. ATAY, T. BIYIKOGLU, AND J. JOST, Network synchronization: Spectral versus statistical properties, Phys. D, 224 (2006), pp. 35-41.
-
(2006)
Phys. D
, vol.224
, pp. 35-41
-
-
ATAY, F.M.1
BIYIKOGLU, T.2
JOST, J.3
-
30
-
-
9644300965
-
Computing the joint spectral radius
-
G. GRIPENBERG, Computing the joint spectral radius, Linear Algebra Appl., 234 (1996), pp. 43-60.
-
(1996)
Linear Algebra Appl
, vol.234
, pp. 43-60
-
-
GRIPENBERG, G.1
-
31
-
-
0034414416
-
Characterization of joint spectral radius via trace
-
Q. CHEN AND X. ZHOU, Characterization of joint spectral radius via trace, Linear Algebra Appl., 315 (2000), pp. 175-188.
-
(2000)
Linear Algebra Appl
, vol.315
, pp. 175-188
-
-
CHEN, Q.1
ZHOU, X.2
-
32
-
-
31144467253
-
Estimates for the joint spectral radius
-
X. ZHOU, Estimates for the joint spectral radius, Appl. Math. Comput., 172 (2006), pp. 332-348.
-
(2006)
Appl. Math. Comput
, vol.172
, pp. 332-348
-
-
ZHOU, X.1
-
34
-
-
0000543733
-
A multiplicative ergodic theorem. Characteristic Ljapunov, exponents of dynamical systems
-
V. I. OSELEDEC. A multiplicative ergodic theorem. Characteristic Ljapunov, exponents of dynamical systems, Trans. Moscow Math. Soc. 19 (1968), pp. 197-231.
-
(1968)
Trans. Moscow Math. Soc
, vol.19
, pp. 197-231
-
-
OSELEDEC, V.I.1
-
35
-
-
0000288315
-
Computation of a few Lyapunov exponents for continuous and discrete dynamical systems
-
L. DIECI AND E. S. VAN VLECK, Computation of a few Lyapunov exponents for continuous and discrete dynamical systems, Appl. Numer. Math., 17 (1995), pp. 275-291.
-
(1995)
Appl. Numer. Math
, vol.17
, pp. 275-291
-
-
DIECI, L.1
VAN VLECK, E.S.2
-
36
-
-
3042936780
-
Zeta function for the Lyapunov exponent of a product of random matrices
-
R. MAINIERI, Zeta function for the Lyapunov exponent of a product of random matrices. Phys. Rev. Lett., 68 (1992), pp. 1965-1968.
-
(1992)
Phys. Rev. Lett
, vol.68
, pp. 1965-1968
-
-
MAINIERI, R.1
-
37
-
-
0038483826
-
Emergence of scaling in random networks
-
A.-L. BARABASI AND R. ALBERT, Emergence of scaling in random networks, Science, 286 (1999), pp. 509-512.
-
(1999)
Science
, vol.286
, pp. 509-512
-
-
BARABASI, A.-L.1
ALBERT, R.2
|