-
1
-
-
0022661079
-
Local feedback stabilization and bifurcation control: I. Hopf bifurcation
-
Abed, E.H., Fu, J.H., Local feedback stabilization and bifurcation control: I. Hopf bifurcation. Systems Control Lett. 7 (1986), 11-17.
-
(1986)
Systems Control Lett.
, vol.7
, pp. 11-17
-
-
Abed, E.H.1
Fu, J.H.2
-
2
-
-
0002945544
-
Loss of stability of self-oscillations close to resonance and versal deformations of equivariant vector fields
-
Arnold, V.I., Loss of stability of self-oscillations close to resonance and versal deformations of equivariant vector fields. Funct. Anal. Appl. 11 (1977), 85-92.
-
(1977)
Funct. Anal. Appl.
, vol.11
, pp. 85-92
-
-
Arnold, V.I.1
-
3
-
-
0000495631
-
On the number of limit cycles which appear with the variation of coefficients from an equilibrium position of focus or center type
-
Bautin, N.N., On the number of limit cycles which appear with the variation of coefficients from an equilibrium position of focus or center type. Mat. Sb. (N.S.) 30:72 (1952), 181-196.
-
(1952)
Mat. Sb. (N.S.)
, vol.30
, Issue.72
, pp. 181-196
-
-
Bautin, N.N.1
-
4
-
-
0034346768
-
Controlling oscillation amplitudes via feedback
-
Berns, D., Moiola, J.L., Chen, G.R., Controlling oscillation amplitudes via feedback. Internat. J. Bifur. Chaos 10 (2000), 2815-2822.
-
(2000)
Internat. J. Bifur. Chaos
, vol.10
, pp. 2815-2822
-
-
Berns, D.1
Moiola, J.L.2
Chen, G.R.3
-
5
-
-
0003031024
-
Stability of periodic orbits controlled by time-delay feedback
-
Bleich, M.E., Socolar, J.E.S., Stability of periodic orbits controlled by time-delay feedback. Phys. Lett. A 210 (1996), 87-94.
-
(1996)
Phys. Lett. A
, vol.210
, pp. 87-94
-
-
Bleich, M.E.1
Socolar, J.E.S.2
-
6
-
-
0001662452
-
Linear time-delay feedback control of a pathological rhythm in a cardiac conduction model
-
Brandt, M.E., Shih, H.T., Chen, G.R., Linear time-delay feedback control of a pathological rhythm in a cardiac conduction model. Phys. Rev. E 56 (1997), 1334-1337.
-
(1997)
Phys. Rev. E
, vol.56
, pp. 1334-1337
-
-
Brandt, M.E.1
Shih, H.T.2
Chen, G.R.3
-
7
-
-
0003646853
-
Controlling Chaos and Bifurcation in Engineering and Systems
-
CRC Press Boca Raton, FL
-
Chen, G.R., Controlling Chaos and Bifurcation in Engineering and Systems. 2000, CRC Press, Boca Raton, FL.
-
(2000)
-
-
Chen, G.R.1
-
8
-
-
0003467884
-
From Chaos to Order
-
World Scientific Singapore
-
Chen, G.R., Dong, X., From Chaos to Order. 1998, World Scientific, Singapore.
-
(1998)
-
-
Chen, G.R.1
Dong, X.2
-
9
-
-
0142221185
-
Dynamical Analysis, Control and Synchronization of Lorenz Families
-
Chinese Science Press Beijing
-
Chen, G.R., Lü, J.H., Dynamical Analysis, Control and Synchronization of Lorenz Families. 2003, Chinese Science Press, Beijing.
-
(2003)
-
-
Chen, G.R.1
Lü, J.H.2
-
10
-
-
0039013985
-
Bifurcation control: Theories, methods, and applications
-
Chen, G.R., Moiola, J.L., Wang, H.O., Bifurcation control: Theories, methods, and applications. Internat. J. Bifur. Chaos 10 (2000), 511-548.
-
(2000)
Internat. J. Bifur. Chaos
, vol.10
, pp. 511-548
-
-
Chen, G.R.1
Moiola, J.L.2
Wang, H.O.3
-
11
-
-
0142031027
-
Linear recursion formulas of quantities of singular point and applications
-
Chen, H.B., Liu, Y.R., Linear recursion formulas of quantities of singular point and applications. Appl. Math. Comput. 148 (2004), 163-171.
-
(2004)
Appl. Math. Comput.
, vol.148
, pp. 163-171
-
-
Chen, H.B.1
Liu, Y.R.2
-
12
-
-
85023006195
-
Center and isochronous center at infinity in a class of planar systems
-
Discrete and Impulsive Systems, Series B: Applications and Algorithms, in press
-
Chen, H.B., Liu, Y.R., Yu, P., 2006. Center and isochronous center at infinity in a class of planar systems. In: Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications and Algorithms, in press.
-
(2006)
Dynamics of Continuous
-
-
Chen, H.B.1
Liu, Y.R.2
Yu, P.3
-
13
-
-
19144367571
-
Controlling and anti-controlling Hopf bifurcations in discrete maps using polynomial functions
-
Chen, Z., Yu, P., Controlling and anti-controlling Hopf bifurcations in discrete maps using polynomial functions. Chaos Solitons Fractals 25 (2005), 1231-1248.
-
(2005)
Chaos Solitons Fractals
, vol.25
, pp. 1231-1248
-
-
Chen, Z.1
Yu, P.2
-
14
-
-
25844509464
-
Hopf bifurcation control for an Internet congestion model
-
Chen, Z., Yu, P., Hopf bifurcation control for an Internet congestion model. Internat. J. Bifur. Chaos 15:8 (2005), 2643-2651.
-
(2005)
Internat. J. Bifur. Chaos
, vol.15
, Issue.8
, pp. 2643-2651
-
-
Chen, Z.1
Yu, P.2
-
15
-
-
0022811435
-
The double scroll family
-
Chua, L.O., Komuro, M., Matsumoto, T., The double scroll family. IEEE Trans. Circuits Syst. 33 (1986), 1073-1118.
-
(1986)
IEEE Trans. Circuits Syst.
, vol.33
, pp. 1073-1118
-
-
Chua, L.O.1
Komuro, M.2
Matsumoto, T.3
-
16
-
-
12044251580
-
Circuit implementation of synchronized chaos with applications to communications
-
Cuomo, K.M., Oppenheim, A.V., Circuit implementation of synchronized chaos with applications to communications. Phys. Rev. Lett. 71 (1993), 65-68.
-
(1993)
Phys. Rev. Lett.
, vol.71
, pp. 65-68
-
-
Cuomo, K.M.1
Oppenheim, A.V.2
-
17
-
-
0037871826
-
Global stability of congestion controller for the Internet
-
Deb, S., Srikant, R., Global stability of congestion controller for the Internet. IEEE Trans. Automat. Control 48 (2003), 1055-1060.
-
(2003)
IEEE Trans. Automat. Control
, vol.48
, pp. 1055-1060
-
-
Deb, S.1
Srikant, R.2
-
18
-
-
36749119936
-
Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction
-
Field, R.J., Noyes, R.M., Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction. J. Chem. Phys. 60 (1974), 1877-1884.
-
(1974)
J. Chem. Phys.
, vol.60
, pp. 1877-1884
-
-
Field, R.J.1
Noyes, R.M.2
-
19
-
-
0034313576
-
Effective chaotic orbit tracker: A perdition-based digital redesign approach
-
Gua, S.M., Shieh, L.S., Chen, G.R., Lin, C.F., Effective chaotic orbit tracker: A perdition-based digital redesign approach. IEEE Trans. Circuits Syst. 47 (2000), 1557-1570.
-
(2000)
IEEE Trans. Circuits Syst.
, vol.47
, pp. 1557-1570
-
-
Gua, S.M.1
Shieh, L.S.2
Chen, G.R.3
Lin, C.F.4
-
20
-
-
0003478288
-
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
-
4th ed. Springer-Verlag New York
-
Guckenheimer, J., Holmes, P., Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields. 4th ed., 1993, Springer-Verlag, New York.
-
(1993)
-
-
Guckenheimer, J.1
Holmes, P.2
-
21
-
-
0004156763
-
Synergetics, An Introduction, Nonequilibrium Phase Transitions and Self-Organization in Physics, Chemistry and Biology
-
3rd ed. Springer-Verlag Berlin
-
Haken, H., Synergetics, An Introduction, Nonequilibrium Phase Transitions and Self-Organization in Physics, Chemistry and Biology. 3rd ed., 1983, Springer-Verlag, Berlin.
-
(1983)
-
-
Haken, H.1
-
22
-
-
0003492055
-
Introduction Functional Differential Equations
-
Springer-Verlag New York
-
Hale, J., Lunel, S., Introduction Functional Differential Equations. 1993, Springer-Verlag, New York.
-
(1993)
-
-
Hale, J.1
Lunel, S.2
-
23
-
-
0012780336
-
Liapunov constants and Hopf cyclicity of Liénard systems
-
Han, M., Liapunov constants and Hopf cyclicity of Liénard systems. Ann. Differential Equations 5:2 (1999), 113-126.
-
(1999)
Ann. Differential Equations
, vol.5
, Issue.2
, pp. 113-126
-
-
Han, M.1
-
24
-
-
0033240334
-
The Rikitake two-disk dynamo system and domains with periodic orbits
-
Hardy, Y., Steeb, W.H., The Rikitake two-disk dynamo system and domains with periodic orbits. Internat. J. Theoret. Phys. 38 (1999), 2413-2417.
-
(1999)
Internat. J. Theoret. Phys.
, vol.38
, pp. 2413-2417
-
-
Hardy, Y.1
Steeb, W.H.2
-
25
-
-
0003973149
-
Theory and Applications of Hopf Bifurcation
-
Cambridge Univ. Press Cambridge
-
Hassard, B.D., Kazarinoff, N.D., Wan, Y.-H., Theory and Applications of Hopf Bifurcation. 1981, Cambridge Univ. Press, Cambridge.
-
(1981)
-
-
Hassard, B.D.1
Kazarinoff, N.D.2
Wan, Y.-H.3
-
26
-
-
0000832248
-
Mathematical problems
-
(M. Newton, transl.)
-
Hilbert, D., Mathematical problems. (M. Newton, transl.) Bull. Amer. Math. Soc. 8 (1902), 437-479.
-
(1902)
Bull. Amer. Math. Soc.
, vol.8
, pp. 437-479
-
-
Hilbert, D.1
-
28
-
-
0002674020
-
Abzweigung einer periodischen Losung von stationaren Losung einers differential-systems
-
3-22
-
Hopf, E., Abzweigung einer periodischen Losung von stationaren Losung einers differential-systems. Ber. Math. Phys. Kl. Sachs Acad. Wiss. Leipzig 94 (1942), 1-22 Ber. Math. Phys. Kl. Sachs Acad. Wiss. Leipzig, 95, 1942 3-22.
-
(1942)
Ber. Math. Phys. Kl. Sachs Acad. Wiss. Leipzig
, vol.94
, pp. 1-22
-
-
Hopf, E.1
-
29
-
-
0026390187
-
A cubic system with eight small-amplitude limit cycles
-
James, E.M., Lloyd, N.G., A cubic system with eight small-amplitude limit cycles. IMA J. Appl. Math. 47 (1991), 163-171.
-
(1991)
IMA J. Appl. Math.
, vol.47
, pp. 163-171
-
-
James, E.M.1
Lloyd, N.G.2
-
30
-
-
0035699247
-
End-to-end congestion control for the Internet: Delays and stability
-
Johari, R., Tan, D.K.H., End-to-end congestion control for the Internet: Delays and stability. IEEE/ACM Trans. Networking 9 (2001), 818-832.
-
(2001)
IEEE/ACM Trans. Networking
, vol.9
, pp. 818-832
-
-
Johari, R.1
Tan, D.K.H.2
-
32
-
-
0032027247
-
Rate control in communication networks: Shadow prices, proportional fairness and stability
-
Kelly, F.P., Maulloo, A., Tan, D., Rate control in communication networks: Shadow prices, proportional fairness and stability. J. Oper. Res. Soc. 49 (1998), 237-252.
-
(1998)
J. Oper. Res. Soc.
, vol.49
, pp. 237-252
-
-
Kelly, F.P.1
Maulloo, A.2
Tan, D.3
-
33
-
-
0038241447
-
Necessary and sufficient conditions for the existence of center
-
Kukles, I.S., Necessary and sufficient conditions for the existence of center. Dokl. Akad. Nauk 42 (1944), 160-163.
-
(1944)
Dokl. Akad. Nauk
, vol.42
, pp. 160-163
-
-
Kukles, I.S.1
-
34
-
-
0035640984
-
Bound for attractors and the existence of homoclinic orbits in the Lorenz system
-
Leonov, G., Bound for attractors and the existence of homoclinic orbits in the Lorenz system. J. Appl. Math. 65 (2001), 19-32.
-
(2001)
J. Appl. Math.
, vol.65
, pp. 19-32
-
-
Leonov, G.1
-
35
-
-
84984076276
-
A tractor localization of the Lorenz system
-
Leonov, G.A., Bunin, A., Koksch, N., A tractor localization of the Lorenz system. ZAMM Z. Angew. Math. Mech. 67 (1987), 649-656.
-
(1987)
ZAMM Z. Angew. Math. Mech.
, vol.67
, pp. 649-656
-
-
Leonov, G.A.1
Bunin, A.2
Koksch, N.3
-
36
-
-
0039573139
-
Attraktoreingrenzung fur Nichtlineare System
-
Teubner Leipzig
-
Leonov, G.A., Reitmann, V., Attraktoreingrenzung fur Nichtlineare System. 1987, Teubner, Leipzig.
-
(1987)
-
-
Leonov, G.A.1
Reitmann, V.2
-
37
-
-
0041621579
-
Hopf bifurcation in an Internet congestion control model
-
Li, C.G., Chen, G.R., Liao, X.F., Yu, J.B., Hopf bifurcation in an Internet congestion control model. Chaos Solitons Fractals 19 (2004), 853-862.
-
(2004)
Chaos Solitons Fractals
, vol.19
, pp. 853-862
-
-
Li, C.G.1
Chen, G.R.2
Liao, X.F.3
Yu, J.B.4
-
38
-
-
4243055985
-
Estimating the bounds for the Lorenz family of chaotic systems
-
Li, D., Lu, J., Wu, X., Chen, G.R., Estimating the bounds for the Lorenz family of chaotic systems. Chaos Solitons Fractals 23 (2005), 529-534.
-
(2005)
Chaos Solitons Fractals
, vol.23
, pp. 529-534
-
-
Li, D.1
Lu, J.2
Wu, X.3
Chen, G.R.4
-
39
-
-
0037246396
-
Hilbert's 16th problem and bifurcations of planar polynomial vector fields
-
Li, J.B., Hilbert's 16th problem and bifurcations of planar polynomial vector fields. Internat. J. Bifur. Chaos 13 (2003), 47-106.
-
(2003)
Internat. J. Bifur. Chaos
, vol.13
, pp. 47-106
-
-
Li, J.B.1
-
40
-
-
84896693675
-
Some lower bounds for H(n) in Hilbert's 16th problem
-
Li, J.B., Chan, H.S.Y., Chung, K.W., Some lower bounds for H(n) in Hilbert's 16th problem. Qual. Theory Dyn. Syst. 3 (2002), 345-360.
-
(2002)
Qual. Theory Dyn. Syst.
, vol.3
, pp. 345-360
-
-
Li, J.B.1
Chan, H.S.Y.2
Chung, K.W.3
-
41
-
-
0001171535
-
Bifurcations of limit cycles forming compound eyes in the cubic system
-
Li, J.B., Huang, Q., Bifurcations of limit cycles forming compound eyes in the cubic system. Chinese Ann. Math. Ser. B 8 (1987), 391-403.
-
(1987)
Chinese Ann. Math. Ser. B
, vol.8
, pp. 391-403
-
-
Li, J.B.1
Huang, Q.2
-
43
-
-
0001211762
-
Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system
-
Li, J.B., Liu, Z., Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system. Publ. Mat. 35 (1991), 487-506.
-
(1991)
Publ. Mat.
, vol.35
, pp. 487-506
-
-
Li, J.B.1
Liu, Z.2
-
44
-
-
0002809570
-
Rotation symmetry groups of planar Hamiltonian systems
-
Li, J.B., Zhao, X.H., Rotation symmetry groups of planar Hamiltonian systems. Ann. Differential Equations 5 (1989), 25-33.
-
(1989)
Ann. Differential Equations
, vol.5
, pp. 25-33
-
-
Li, J.B.1
Zhao, X.H.2
-
45
-
-
0003566231
-
Absolute Stability of Nonlinear Control Systems
-
Kluwer Academic–China Science Press Beijing
-
Liao, X.X., Absolute Stability of Nonlinear Control Systems. 1993, Kluwer Academic–China Science Press, Beijing.
-
(1993)
-
-
Liao, X.X.1
-
46
-
-
0004174956
-
Mathematical Theory and Application of Stability
-
2nd ed. Huazhong Normal Univ. Press Wuhan
-
Liao, X.X., Mathematical Theory and Application of Stability. 2nd ed., 2001, Huazhong Normal Univ. Press, Wuhan.
-
(2001)
-
-
Liao, X.X.1
-
47
-
-
0037246535
-
Chaos synchronization of general Lurie system via time-delay feedback control
-
Liao, X.X., Chen, G.R., Chaos synchronization of general Lurie system via time-delay feedback control. Internat. J. Bifur. Chaos 13 (2003), 207-213.
-
(2003)
Internat. J. Bifur. Chaos
, vol.13
, pp. 207-213
-
-
Liao, X.X.1
Chen, G.R.2
-
48
-
-
0346500442
-
On feedback-controlled synchronization of chaotic systems
-
Liao, X.X., Chen, G.R., On feedback-controlled synchronization of chaotic systems. Internat. J. Systems Sci. 43 (2003), 453-461.
-
(2003)
Internat. J. Systems Sci.
, vol.43
, pp. 453-461
-
-
Liao, X.X.1
Chen, G.R.2
-
49
-
-
30344448156
-
Analysis on the global exponent synchronization of Chua's circuit using absolute stability theory
-
Liao, X.X., Yu, P., Analysis on the global exponent synchronization of Chua's circuit using absolute stability theory. Internat. J. Bifur. Chaos 15:12 (2005), 3687-3881.
-
(2005)
Internat. J. Bifur. Chaos
, vol.15
, Issue.12
, pp. 3687-3881
-
-
Liao, X.X.1
Yu, P.2
-
50
-
-
0003566155
-
Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell-Type Structures
-
Noordhoff Leyden, The Netherlands
-
Librescu, L., Elastostatics and Kinetics of Anisotropic and Heterogeneous Shell-Type Structures. 1975, Noordhoff, Leyden, The Netherlands.
-
(1975)
-
-
Librescu, L.1
-
51
-
-
0000833107
-
Etude des oscillations entretenues
-
Liénard, A., Etude des oscillations entretenues. Rev. Générale de lÉlectricité 23 (1928), 901-912.
-
(1928)
Rev. Générale de lÉlectricité
, vol.23
, pp. 901-912
-
-
Liénard, A.1
-
52
-
-
3042571812
-
On the singularity values of complex autonomous differential systems
-
Liu, Y., Li, J., On the singularity values of complex autonomous differential systems. Sci. China Ser. A 3 (1989), 245-255.
-
(1989)
Sci. China Ser. A
, vol.3
, pp. 245-255
-
-
Liu, Y.1
Li, J.2
-
53
-
-
13644284844
-
A cubic system with twelve small amplitude limit cycles
-
Liu, Y.R., Huang, W.T., A cubic system with twelve small amplitude limit cycles. Bull. Sci. Math. 129 (2005), 83-98.
-
(2005)
Bull. Sci. Math.
, vol.129
, pp. 83-98
-
-
Liu, Y.R.1
Huang, W.T.2
-
54
-
-
0000878257
-
Some cubic systems with several limit cycles
-
Lloyd, N.G., Blows, T.R., Kalenge, M.C., Some cubic systems with several limit cycles. Nonlinearity 1 (1988), 653-669.
-
(1988)
Nonlinearity
, vol.1
, pp. 653-669
-
-
Lloyd, N.G.1
Blows, T.R.2
Kalenge, M.C.3
-
55
-
-
0000241853
-
Deterministic nonperiodic flow
-
Lorenz, E.N., Deterministic nonperiodic flow. J. Atmospheric Sci. 20 (1963), 130-141.
-
(1963)
J. Atmospheric Sci.
, vol.20
, pp. 130-141
-
-
Lorenz, E.N.1
-
56
-
-
0004154108
-
The Essence of Chaos
-
Univ. of Washington Press
-
Lorenz, E.N., The Essence of Chaos. 1993, Univ. of Washington Press.
-
(1993)
-
-
Lorenz, E.N.1
-
57
-
-
0036322672
-
Controlling Chen attractor using feedback function based on parameters identification
-
Lü, J.H., Zhou, T., Zhang, S., Controlling Chen attractor using feedback function based on parameters identification. Chinese Phys. 11 (2002), 12-16.
-
(2002)
Chinese Phys.
, vol.11
, pp. 12-16
-
-
Lü, J.H.1
Zhou, T.2
Zhang, S.3
-
58
-
-
0009932373
-
Dynamical Systems with Applications Using Maple
-
Birkhäuser Boston
-
Lynch, S., Dynamical Systems with Applications Using Maple. 2004, Birkhäuser, Boston.
-
(2004)
-
-
Lynch, S.1
-
59
-
-
0009530005
-
Criteria for center of a differential equation
-
Malkin, K.E., Criteria for center of a differential equation. Volg. Mat. Sb. 2 (1964), 87-91.
-
(1964)
Volg. Mat. Sb.
, vol.2
, pp. 87-91
-
-
Malkin, K.E.1
-
60
-
-
85023123205
-
-
Maple 10, Maplesoft, Waterloo, Canada
-
Maple 10, 2005. Maplesoft, Waterloo, Canada.
-
(2005)
-
-
-
61
-
-
0036749318
-
Flutter, post-flutter and control of a supersonic 2-D lifting surface
-
Marzocca, P., Librescu, L., Silva, W.A., Flutter, post-flutter and control of a supersonic 2-D lifting surface. J. Guidance Control Dynamics 25 (2002), 962-970.
-
(2002)
J. Guidance Control Dynamics
, vol.25
, pp. 962-970
-
-
Marzocca, P.1
Librescu, L.2
Silva, W.A.3
-
62
-
-
46449112630
-
The Way the World Calculates
-
Wolfram Research UK
-
Mathematica, The Way the World Calculates. 2004, Wolfram Research, UK.
-
(2004)
-
-
Mathematica1
-
63
-
-
0021710645
-
A chaotic attractor from Chua's circuit
-
Matsumoto, T., A chaotic attractor from Chua's circuit. IEEE Trans. Circuits Syst. 31 (1984), 1055-1058.
-
(1984)
IEEE Trans. Circuits Syst.
, vol.31
, pp. 1055-1058
-
-
Matsumoto, T.1
-
64
-
-
0001834849
-
On the stability of the center for time periodic perturbations
-
Melnikov, V.K., On the stability of the center for time periodic perturbations. Trans. Moscow Math. Soc. 12 (1963), 1-57.
-
(1963)
Trans. Moscow Math. Soc.
, vol.12
, pp. 1-57
-
-
Melnikov, V.K.1
-
65
-
-
0004128190
-
Methods of Normal Forms
-
Wiley New York
-
Nayfeh, A.H., Methods of Normal Forms. 1993, Wiley, New York.
-
(1993)
-
-
Nayfeh, A.H.1
-
66
-
-
0030543166
-
Bifurcations in a power system model
-
Nayfeh, A.H., Harb, A.M., Chin, C.M., Bifurcations in a power system model. Internat. J. Bifur. Chaos 14 (1996), 497-512.
-
(1996)
Internat. J. Bifur. Chaos
, vol.14
, pp. 497-512
-
-
Nayfeh, A.H.1
Harb, A.M.2
Chin, C.M.3
-
67
-
-
0039625018
-
Dynamic differentials of stress and coping
-
Neufeld, R.W.J., Dynamic differentials of stress and coping. Psychological Review 106 (1999), 385-397.
-
(1999)
Psychological Review
, vol.106
, pp. 385-397
-
-
Neufeld, R.W.J.1
-
68
-
-
0003504682
-
Self-Organization in Nonequilibrium Systems
-
Wiley New York
-
Nicolis, G., Prigogine, I., Self-Organization in Nonequilibrium Systems. 1977, Wiley, New York.
-
(1977)
-
-
Nicolis, G.1
Prigogine, I.2
-
69
-
-
4243489552
-
Controlling chaos
-
Ott, E., Grebogi, C., Yorke, J.A., Controlling chaos. Phys. Rev. Lett. 64 (1990), 1096-1199.
-
(1990)
Phys. Rev. Lett.
, vol.64
, pp. 1096-1199
-
-
Ott, E.1
Grebogi, C.2
Yorke, J.A.3
-
70
-
-
0343689904
-
Synchronization in chaotic circuits
-
Pecora, L.M., Carroll, T.L., Synchronization in chaotic circuits. Phys. Rev. Lett. 64 (1990), 821-824.
-
(1990)
Phys. Rev. Lett.
, vol.64
, pp. 821-824
-
-
Pecora, L.M.1
Carroll, T.L.2
-
71
-
-
5344269568
-
Driving systems with chaotic signals
-
Pecora, L.M., Carroll, T.L., Driving systems with chaotic signals. Phys. Rev. A 44 (1991), 2374-2378.
-
(1991)
Phys. Rev. A
, vol.44
, pp. 2374-2378
-
-
Pecora, L.M.1
Carroll, T.L.2
-
72
-
-
0003698819
-
Differential Equations and Dynamical Systems
-
Springer-Verlag New York
-
Perko, L.M., Differential Equations and Dynamical Systems. 2001, Springer-Verlag, New York.
-
(2001)
-
-
Perko, L.M.1
-
73
-
-
0037474503
-
A new Galerkin-based approach for accurate nonlinear normal modes through invariant manifolds
-
Pesheck, E., Pierre, C., Shaw, S.W., A new Galerkin-based approach for accurate nonlinear normal modes through invariant manifolds. J. Sound Vib. 249 (2002), 971-993.
-
(2002)
J. Sound Vib.
, vol.249
, pp. 971-993
-
-
Pesheck, E.1
Pierre, C.2
Shaw, S.W.3
-
75
-
-
49549126801
-
An equation for continuous chaos
-
Rössler, O.E., An equation for continuous chaos. Phys. Lett. A 57 (1976), 397-398.
-
(1976)
Phys. Lett. A
, vol.57
, pp. 397-398
-
-
Rössler, O.E.1
-
76
-
-
84985456277
-
Continuous chaos – four prototype equations
-
Rössler, O.E., Continuous chaos – four prototype equations. Ann. (NY) Acad. Sci. 316 (1979), 376-392.
-
(1979)
Ann. (NY) Acad. Sci.
, vol.316
, pp. 376-392
-
-
Rössler, O.E.1
-
77
-
-
0003787997
-
-
G. Baier M. Klein World Scientific Singapore
-
Rössler, O.E., Baier, G., Klein, M., (eds.) A Chaotic Hierarchy, 1991, World Scientific, Singapore.
-
(1991)
A Chaotic Hierarchy
-
-
Rössler, O.E.1
-
78
-
-
0036350895
-
Chaos stabilization: An inverse optimal control approach
-
Sanchez, E.N., Peren, J.P., Martizez, M., Chen, G.R., Chaos stabilization: An inverse optimal control approach. Latin Amer. Appl. Res.: Int. J. 32 (2002), 111-114.
-
(2002)
Latin Amer. Appl. Res.: Int. J.
, vol.32
, pp. 111-114
-
-
Sanchez, E.N.1
Peren, J.P.2
Martizez, M.3
Chen, G.R.4
-
79
-
-
0027911991
-
Normal modes for non-linear vibratory systems
-
Shaw, S.W., Pierre, C., Normal modes for non-linear vibratory systems. J. Sound Vib. 164 (1993), 85-124.
-
(1993)
J. Sound Vib.
, vol.164
, pp. 85-124
-
-
Shaw, S.W.1
Pierre, C.2
-
80
-
-
0346040258
-
Bifurcation analysis of an inverted pendulum with delayed feedback control near a triple-zero eigenvalue singularity
-
Sieber, J., Krauskopf, B., Bifurcation analysis of an inverted pendulum with delayed feedback control near a triple-zero eigenvalue singularity. Nonlinearity 17 (2004), 85-103.
-
(2004)
Nonlinearity
, vol.17
, pp. 85-103
-
-
Sieber, J.1
Krauskopf, B.2
-
81
-
-
0002587254
-
Mathematical problems for the next century
-
Smale, S., Mathematical problems for the next century. Math. Intelligencer 20 (1998), 7-15.
-
(1998)
Math. Intelligencer
, vol.20
, pp. 7-15
-
-
Smale, S.1
-
82
-
-
0036339934
-
Time delayed repetitive learning control for chaotic systems
-
Song, Y.X., Yu, X.H., Chen, G.R., Xu, J.X., Tian, Y.P., Time delayed repetitive learning control for chaotic systems. Internat. J. Bifur. Chaos 12 (2002), 1057-1065.
-
(2002)
Internat. J. Bifur. Chaos
, vol.12
, pp. 1057-1065
-
-
Song, Y.X.1
Yu, X.H.2
Chen, G.R.3
Xu, J.X.4
Tian, Y.P.5
-
83
-
-
0041322255
-
Simplest dissipative chaotic flow
-
Sprott, J.C., Simplest dissipative chaotic flow. Phys. Lett. A 228 (1977), 271-274.
-
(1977)
Phys. Lett. A
, vol.228
, pp. 271-274
-
-
Sprott, J.C.1
-
85
-
-
0034738985
-
The Lorenz attractor exists
-
Stewart, L., The Lorenz attractor exists. Nature 406 (2002), 948-949.
-
(2002)
Nature
, vol.406
, pp. 948-949
-
-
Stewart, L.1
-
86
-
-
17044414484
-
A gallery of attractors from smooth Chua's equation
-
Tsuneda, A., A gallery of attractors from smooth Chua's equation. Internat. J. Bifur. Chaos 15:1 (2005), 1-49.
-
(2005)
Internat. J. Bifur. Chaos
, vol.15
, Issue.1
, pp. 1-49
-
-
Tsuneda, A.1
-
87
-
-
0000873906
-
On relaxation–oscillations
-
Van der Pol, B., On relaxation–oscillations. Philos. Mag. 2:7 (1926), 978-992.
-
(1926)
Philos. Mag.
, vol.2
, Issue.7
, pp. 978-992
-
-
Van der Pol, B.1
-
88
-
-
0029376196
-
Bifurcation control of a chaotic system
-
Wang, H.O., Abed, E.G., Bifurcation control of a chaotic system. Automatica 31 (1995), 1213-1226.
-
(1995)
Automatica
, vol.31
, pp. 1213-1226
-
-
Wang, H.O.1
Abed, E.G.2
-
89
-
-
33845876552
-
Hilbert's 16th Problem and Computation of Limit Cycles
-
Doctoral thesis, The University of Western Ontario, London, Ontario, Canada
-
Wang, S., 2005. Hilbert's 16th Problem and Computation of Limit Cycles. Doctoral thesis, The University of Western Ontario, London, Ontario, Canada.
-
(2005)
-
-
Wang, S.1
-
90
-
-
20444455852
-
Bifurcation of limit cycles in a quintic Hamiltonian system under sixth-order perturbation
-
Wang, S., Yu, P., Bifurcation of limit cycles in a quintic Hamiltonian system under sixth-order perturbation. Chaos Solitons Fractals 26:5 (2005), 1317-1335.
-
(2005)
Chaos Solitons Fractals
, vol.26
, Issue.5
, pp. 1317-1335
-
-
Wang, S.1
Yu, P.2
-
92
-
-
0003548726
-
Introduction to Applied Nonlinear Dynamical Systems and Chaos
-
Spring-Verlag New York
-
Wiggins, S., Introduction to Applied Nonlinear Dynamical Systems and Chaos. 1990, Spring-Verlag, New York.
-
(1990)
-
-
Wiggins, S.1
-
93
-
-
0010750897
-
Introduction to Neural Dynamics and Signal Transmission Delay
-
de Gruyter Berlin
-
Wu, J.H., Introduction to Neural Dynamics and Signal Transmission Delay. 2001, de Gruyter, Berlin.
-
(2001)
-
-
Wu, J.H.1
-
94
-
-
15744391372
-
Improving Security of Communication via Chaotic Synchronization
-
Doctoral thesis, The University of Western Ontario, London, Ontario, Canada
-
Yao, W., 2002. Improving Security of Communication via Chaotic Synchronization. Doctoral thesis, The University of Western Ontario, London, Ontario, Canada.
-
(2002)
-
-
Yao, W.1
-
95
-
-
4644277324
-
A new chaotic system for better secure communication
-
Yao, W., Essex, C., Yu, P., A new chaotic system for better secure communication. Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms 10 (2002), 221-234.
-
(2002)
Dyn. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms
, vol.10
, pp. 221-234
-
-
Yao, W.1
Essex, C.2
Yu, P.3
-
96
-
-
17744387337
-
Delayed stochastic differential model for quiet standing
-
Yao, W., Yu, P., Essex, C., Delayed stochastic differential model for quiet standing. Phys. Rev. E, 63, 2001, 021902.
-
(2001)
Phys. Rev. E
, vol.63
, pp. 021902
-
-
Yao, W.1
Yu, P.2
Essex, C.3
-
97
-
-
15844366745
-
Estimating chaotic parameter regimes by generalized competition modes approach
-
Yao, W., Yu, P., Essex, C., Estimating chaotic parameter regimes by generalized competition modes approach. Commun. Nonlinear Sci. Numer. Simul. 7 (2002), 197-205.
-
(2002)
Commun. Nonlinear Sci. Numer. Simul.
, vol.7
, pp. 197-205
-
-
Yao, W.1
Yu, P.2
Essex, C.3
-
98
-
-
33744725608
-
Competitive modes and their application
-
in press
-
Yao, W., Yu, P., Essex, C., Davison, M., 2006. Competitive modes and their application. Internat. J. Bifur. Chaos 16 (3), in press.
-
(2006)
Internat. J. Bifur. Chaos
, vol.16
, Issue.3
-
-
Yao, W.1
Yu, P.2
Essex, C.3
Davison, M.4
-
99
-
-
0001790023
-
Computation of normal forms via a perturbation technique
-
Yu, P., Computation of normal forms via a perturbation technique. J. Sound Vib. 211 (1998), 19-38.
-
(1998)
J. Sound Vib.
, vol.211
, pp. 19-38
-
-
Yu, P.1
-
100
-
-
0010417573
-
A method for computing center manifold and normal forms
-
World Scientific Singapore
-
Yu, P., A method for computing center manifold and normal forms. Proc. of Diff. Eqs., vol. 2, 2000, World Scientific, Singapore, 832-837.
-
(2000)
Proc. of Diff. Eqs.
, vol.2
, pp. 832-837
-
-
Yu, P.1
-
101
-
-
0035525675
-
Symbolic computation of normal forms for resonant double Hopf bifurcations using multiple time scales
-
Yu, P., Symbolic computation of normal forms for resonant double Hopf bifurcations using multiple time scales. J. Sound Vib. 274 (2001), 615-632.
-
(2001)
J. Sound Vib.
, vol.274
, pp. 615-632
-
-
Yu, P.1
-
102
-
-
9644256383
-
Limit cycles in 3rd-order planar system
-
Beijing, China, August 20-28
-
Yu, P., 2002. Limit cycles in 3rd-order planar system. In: International Congress of Mathematicians, Beijing, China, August 20-28.
-
(2002)
International Congress of Mathematicians
-
-
Yu, P.1
-
104
-
-
12744276247
-
Bifurcation dynamics in control systems
-
G.R. Chen D.J. Hill X. Yu Springer-Verlag Berlin
-
Yu, P., Bifurcation dynamics in control systems. Chen, G.R., Hill, D.J., Yu, X., (eds.) Bifurcation Control: Theory and Applications, 2003, Springer-Verlag, Berlin, 99-126.
-
(2003)
Bifurcation Control: Theory and Applications
, pp. 99-126
-
-
Yu, P.1
-
105
-
-
1942472224
-
Hopf bifurcation control using nonlinear feedback with polynomial functions
-
Yu, P., Chen, G.R., Hopf bifurcation control using nonlinear feedback with polynomial functions. Internat. J. Bifur. Chaos 14 (2004), 1683-1704.
-
(2004)
Internat. J. Bifur. Chaos
, vol.14
, pp. 1683-1704
-
-
Yu, P.1
Chen, G.R.2
-
106
-
-
85023080953
-
Symbolic computation of limit cycles associated with Hilbert's 16th problem
-
(revised version submitted for publication)
-
Yu, P., Corless, R., 2006. Symbolic computation of limit cycles associated with Hilbert's 16th problem. J. Symbolic Comput. (revised version submitted for publication).
-
(2006)
J. Symbolic Comput.
-
-
Yu, P.1
Corless, R.2
-
108
-
-
9644262430
-
2-equivariant vector fields
-
2-equivariant vector fields. Chaos Solitons Fractals 24:1 (2005), 329-348.
-
(2005)
Chaos Solitons Fractals
, vol.24
, Issue.1
, pp. 329-348
-
-
Yu, P.1
Han, M.2
-
109
-
-
24144462859
-
Twelve limit cycles in a cubic case of the 16th Hilbert problem
-
Yu, P., Han, M., Twelve limit cycles in a cubic case of the 16th Hilbert problem. Internat. J. Bifur. Chaos 15:7 (2005), 2191-2205.
-
(2005)
Internat. J. Bifur. Chaos
, vol.15
, Issue.7
, pp. 2191-2205
-
-
Yu, P.1
Han, M.2
-
110
-
-
33744722520
-
Globally attractive and positive invariant set of the Lorenz system
-
in press
-
Yu, P., Liao, X., 2006a. Globally attractive and positive invariant set of the Lorenz system. Internat. J. Bifur. Chaos 16 (3), in press.
-
(2006)
Internat. J. Bifur. Chaos
, vol.16
, Issue.3
-
-
Yu, P.1
Liao, X.2
-
111
-
-
33845518527
-
New estimations for globally attractive and positive invariant set of the family of the Lorenz systems
-
submitted for publication
-
Yu, P., Liao, X., 2006b. New estimations for globally attractive and positive invariant set of the family of the Lorenz systems. Internat. J. Bifur. Chaos, submitted for publication.
-
(2006)
Internat. J. Bifur. Chaos
-
-
Yu, P.1
Liao, X.2
-
112
-
-
0043179007
-
Study of double Hopf bifurcation and chaos for an oscillator with time delayed feedback
-
Yu, P., Yuan, Y., Xu, J., Study of double Hopf bifurcation and chaos for an oscillator with time delayed feedback. Commun. Nonlinear Sci. Numer. Simul. 7 (2002), 69-91.
-
(2002)
Commun. Nonlinear Sci. Numer. Simul.
, vol.7
, pp. 69-91
-
-
Yu, P.1
Yuan, Y.2
Xu, J.3
-
113
-
-
0035372822
-
Vibration analysis on a thin plate with the aid of computation of normal forms
-
Yu, P., Zhang, W., Bi, Q., Vibration analysis on a thin plate with the aid of computation of normal forms. Internat. J. Non-Linear Mech. 36 (2001), 597-627.
-
(2001)
Internat. J. Non-Linear Mech.
, vol.36
, pp. 597-627
-
-
Yu, P.1
Zhang, W.2
Bi, Q.3
-
114
-
-
4944238379
-
Aeroelasticity of time-delayed feedback control of two-dimensional supersonic lifting surface
-
Yuan, Y., Yu, P., Librescu, L., Marzocca, P., Aeroelasticity of time-delayed feedback control of two-dimensional supersonic lifting surface. J. Guidance Control Dynamics 27 (2004), 795-803.
-
(2004)
J. Guidance Control Dynamics
, vol.27
, pp. 795-803
-
-
Yuan, Y.1
Yu, P.2
Librescu, L.3
Marzocca, P.4
-
115
-
-
0000113158
-
Eleven small limit cycles in a cubic vector field
-
Zoladek, H., Eleven small limit cycles in a cubic vector field. Nonlinearity 8 (1995), 843-860.
-
(1995)
Nonlinearity
, vol.8
, pp. 843-860
-
-
Zoladek, H.1
|