-
5
-
-
64549122624
-
-
Poincaré H. Les methods nouvelles de la mécanique celeste, vols. 1-3. Paris: Gauthier-Villas; 1892, 1893, 1894 [Translation: new methods of celestial mechanics. USA: NASA; 1967].
-
Poincaré H. Les methods nouvelles de la mécanique celeste, vols. 1-3. Paris: Gauthier-Villas; 1892, 1893, 1894 [Translation: new methods of celestial mechanics. USA: NASA; 1967].
-
-
-
-
7
-
-
84968473058
-
Proof of Poincaré's geometric theorem
-
Birkhoff G.D. Proof of Poincaré's geometric theorem. Trans Am Math Soc 14 (1913) 14-22
-
(1913)
Trans Am Math Soc
, vol.14
, pp. 14-22
-
-
Birkhoff, G.D.1
-
8
-
-
0000024406
-
Dyanamical systems with two degrees of freedom
-
Birkhoff G.D. Dyanamical systems with two degrees of freedom. Trans Am Math Soc 18 (1917) 199-300
-
(1917)
Trans Am Math Soc
, vol.18
, pp. 199-300
-
-
Birkhoff, G.D.1
-
9
-
-
34250588943
-
Surface transformation and their dynamical application
-
Birkhoff G.D. Surface transformation and their dynamical application. Acta Math 43 (1922) 1-119
-
(1922)
Acta Math
, vol.43
, pp. 1-119
-
-
Birkhoff, G.D.1
-
10
-
-
30244449696
-
Fraquency demultiplication
-
van der Pol B., and van der Mark J. Fraquency demultiplication. Nature 120 (1927) 363-364
-
(1927)
Nature
, vol.120
, pp. 363-364
-
-
van der Pol, B.1
van der Mark, J.2
-
12
-
-
0000057066
-
A second order differential equation with singular solutions
-
Levision N. A second order differential equation with singular solutions. Ann Math 50 (1949) 127-153
-
(1949)
Ann Math
, vol.50
, pp. 127-153
-
-
Levision, N.1
-
13
-
-
84863474962
-
A general equation for relaxation osicillations
-
Levision N., and Smith O.K. A general equation for relaxation osicillations. Duke Math J 9 (1942) 287-403
-
(1942)
Duke Math J
, vol.9
, pp. 287-403
-
-
Levision, N.1
Smith, O.K.2
-
14
-
-
0000241853
-
Deterministic nonperiodic flow
-
Lorenz E.N. Deterministic nonperiodic flow. J Atmos Sci 20 (1963) 130-141
-
(1963)
J Atmos Sci
, vol.20
, pp. 130-141
-
-
Lorenz, E.N.1
-
15
-
-
0003095125
-
Nonlinear oscillation in equations with delays
-
Hoppenstadt K. (Ed), AMS, Providence, RI
-
Hale J.K. Nonlinear oscillation in equations with delays. In: Hoppenstadt K. (Ed). Nonlinear oscillations in biology (1979), AMS, Providence, RI 157-185
-
(1979)
Nonlinear oscillations in biology
, pp. 157-185
-
-
Hale, J.K.1
-
16
-
-
84974185478
-
Flows in center manifold for scalar functional differential equations
-
Hale J.K. Flows in center manifold for scalar functional differential equations. Proc R Soc Edinburgh 101A (1985) 193-201
-
(1985)
Proc R Soc Edinburgh
, vol.101 A
, pp. 193-201
-
-
Hale, J.K.1
-
17
-
-
0001114217
-
Counting roots of the characteristic equation for linear delay-differential systems
-
Hassard B.D. Counting roots of the characteristic equation for linear delay-differential systems. J Diff Eq 136 (1997) 222-235
-
(1997)
J Diff Eq
, vol.136
, pp. 222-235
-
-
Hassard, B.D.1
-
18
-
-
0000840164
-
Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
-
Faria T., and Magalhaes L.T. Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation. J Diff Eq 122 (1995) 181-200
-
(1995)
J Diff Eq
, vol.122
, pp. 181-200
-
-
Faria, T.1
Magalhaes, L.T.2
-
19
-
-
0000708147
-
Periodic solutions of the sunflower equation: over(x, ̈) + a / r over(x, ̇) + (br) sin x (t - r) = 0
-
Alfredo S.S. Periodic solutions of the sunflower equation: over(x, ̈) + a / r over(x, ̇) + (br) sin x (t - r) = 0. Quart Appl Math 4 (1978) 468-478
-
(1978)
Quart Appl Math
, vol.4
, pp. 468-478
-
-
Alfredo, S.S.1
-
20
-
-
0002087534
-
Oscillations of the sunflower equation
-
Kulenovic M.R.S., and Ladas G. Oscillations of the sunflower equation. Quart Appl Math 46 (1988) 23-28
-
(1988)
Quart Appl Math
, vol.46
, pp. 23-28
-
-
Kulenovic, M.R.S.1
Ladas, G.2
-
21
-
-
0009413447
-
Hopf bifurcation of sunflower equation
-
Wei J.J. Hopf bifurcation of sunflower equation. Acta Math Appl Sinica 19 (1996) 73-79
-
(1996)
Acta Math Appl Sinica
, vol.19
, pp. 73-79
-
-
Wei, J.J.1
-
22
-
-
0000291028
-
A bifurcation problem for a functional differential equation of finitely retarded
-
Chafee N. A bifurcation problem for a functional differential equation of finitely retarded. J Math Anal Appl 35 (1971) 312-348
-
(1971)
J Math Anal Appl
, vol.35
, pp. 312-348
-
-
Chafee, N.1
-
23
-
-
0003106575
-
Nonlinear dynamics in a laser with a negative delayed feedback
-
Gricorieva E., Kashckenko S., Loiko N., and Samson A. Nonlinear dynamics in a laser with a negative delayed feedback. Physica D 59 (1992) 297-319
-
(1992)
Physica D
, vol.59
, pp. 297-319
-
-
Gricorieva, E.1
Kashckenko, S.2
Loiko, N.3
Samson, A.4
-
24
-
-
0027604031
-
Feedback and delays in neurological diseases: a modeling study using dynamical systems
-
Beuter A., Bélair J., and Labrie C. Feedback and delays in neurological diseases: a modeling study using dynamical systems. Bull Math Biol 55 (1993) 525-541
-
(1993)
Bull Math Biol
, vol.55
, pp. 525-541
-
-
Beuter, A.1
Bélair, J.2
Labrie, C.3
-
25
-
-
0028517922
-
Stability and bifurcations of equilibria in a multiple delay differential equation
-
Belair J., and Champell S.A. Stability and bifurcations of equilibria in a multiple delay differential equation. SIAM J Appl Math 54 (1994) 1402-1424
-
(1994)
SIAM J Appl Math
, vol.54
, pp. 1402-1424
-
-
Belair, J.1
Champell, S.A.2
-
26
-
-
0030081051
-
Frustration, stability and delay-induced oscillations in a neural network model
-
Belair J., Champell S.A., and van den Driessche P. Frustration, stability and delay-induced oscillations in a neural network model. SIAM J Appl Math 56 (1996) 245-255
-
(1996)
SIAM J Appl Math
, vol.56
, pp. 245-255
-
-
Belair, J.1
Champell, S.A.2
van den Driessche, P.3
-
27
-
-
0030102662
-
Systems of differential delay equations: floquet multiplies and discrete Lyapunov functions
-
Mallet-Paret J., and Sell G.R. Systems of differential delay equations: floquet multiplies and discrete Lyapunov functions. J Diff Eq 125 (1996) 385-440
-
(1996)
J Diff Eq
, vol.125
, pp. 385-440
-
-
Mallet-Paret, J.1
Sell, G.R.2
-
28
-
-
14944380614
-
Global robust exponential stability analysis for interval neural networks with time-varying delays
-
Li C.D., Liao X.F., Zhang R., and Prasad A. Global robust exponential stability analysis for interval neural networks with time-varying delays. Chaos, Solitons and Fractals 25 (2005) 751-757
-
(2005)
Chaos, Solitons and Fractals
, vol.25
, pp. 751-757
-
-
Li, C.D.1
Liao, X.F.2
Zhang, R.3
Prasad, A.4
-
29
-
-
20444483673
-
Global robust stability analysis of neural networks with discrete time delays
-
Arik S. Global robust stability analysis of neural networks with discrete time delays. Chaos, Solitons and Fractals 26 (2005) 1407-1414
-
(2005)
Chaos, Solitons and Fractals
, vol.26
, pp. 1407-1414
-
-
Arik, S.1
-
30
-
-
13544253749
-
Parameter mismatches, variable delay times and synchronization in time-delayed systems
-
Shahverdiev E.M., Nuriev R.A., Hashimov R.H., and Shore K.A. Parameter mismatches, variable delay times and synchronization in time-delayed systems. Chaos, Solitons and Fractals 25 (2005) 325-331
-
(2005)
Chaos, Solitons and Fractals
, vol.25
, pp. 325-331
-
-
Shahverdiev, E.M.1
Nuriev, R.A.2
Hashimov, R.H.3
Shore, K.A.4
-
31
-
-
3142680394
-
Hopf bifurcation in a control system for the Washout filter-based delayed neural equation
-
Zhou S.D., Liao X.F., Wu Z.F., and Wong K.W. Hopf bifurcation in a control system for the Washout filter-based delayed neural equation. Chaos, Solitons and Fractals 23 (2005) 101-115
-
(2005)
Chaos, Solitons and Fractals
, vol.23
, pp. 101-115
-
-
Zhou, S.D.1
Liao, X.F.2
Wu, Z.F.3
Wong, K.W.4
-
32
-
-
0036462768
-
Fractals in small-world networks with time-delay
-
Yang X.S. Fractals in small-world networks with time-delay. Chaos, Solitons and Fractals 13 (2002) 215-219
-
(2002)
Chaos, Solitons and Fractals
, vol.13
, pp. 215-219
-
-
Yang, X.S.1
-
33
-
-
0033130661
-
Hopf bifurcation of time-delay Liénard equations
-
Xu J., and Lu Q.S. Hopf bifurcation of time-delay Liénard equations. Int J Bifur Chaos 9 (1999) 939-951
-
(1999)
Int J Bifur Chaos
, vol.9
, pp. 939-951
-
-
Xu, J.1
Lu, Q.S.2
-
34
-
-
0037947648
-
Effects of time delayed position feedback on a van der Pol-Duffing oscillator
-
Xu J., and Chung K.W. Effects of time delayed position feedback on a van der Pol-Duffing oscillator. Physica D 180 (2003) 17-39
-
(2003)
Physica D
, vol.180
, pp. 17-39
-
-
Xu, J.1
Chung, K.W.2
-
35
-
-
4944225831
-
Delay-reduced bifurcation in an nonautonmous system with delayed velocity feedbacks
-
Xu J., and Yu P. Delay-reduced bifurcation in an nonautonmous system with delayed velocity feedbacks. Int J Bifur Chaos 14 (2004) 2777-2798
-
(2004)
Int J Bifur Chaos
, vol.14
, pp. 2777-2798
-
-
Xu, J.1
Yu, P.2
-
36
-
-
15544383672
-
Classification and computation of non-resonant double hopf bifurcations and solutions in delayed van der Pol-Duffing System
-
Zhang Y.Y., and Xu J. Classification and computation of non-resonant double hopf bifurcations and solutions in delayed van der Pol-Duffing System. Int J Nonlinear Sci Numer Simul 6 (2005) 69-74
-
(2005)
Int J Nonlinear Sci Numer Simul
, vol.6
, pp. 69-74
-
-
Zhang, Y.Y.1
Xu, J.2
-
37
-
-
64549122185
-
Delay reduced double Hopf bifurcation in a limit cycle oscillator: extension of a perturbation-incremental method
-
Xu J., and Chung K.W. Delay reduced double Hopf bifurcation in a limit cycle oscillator: extension of a perturbation-incremental method. Dynam Contin Impul Syst B 11a (2004) 136-143
-
(2004)
Dynam Contin Impul Syst B
, vol.11 a
, pp. 136-143
-
-
Xu, J.1
Chung, K.W.2
-
38
-
-
0043179007
-
Study of double Hopf bifurcation and chaos for an oscillator with time delayed feedback
-
Yu P., Yuan Y., and Xu J. Study of double Hopf bifurcation and chaos for an oscillator with time delayed feedback. Comun Nonlinear Sci Numer Simul 7 (2002) 69-91
-
(2002)
Comun Nonlinear Sci Numer Simul
, vol.7
, pp. 69-91
-
-
Yu, P.1
Yuan, Y.2
Xu, J.3
-
39
-
-
34250315551
-
Continuous control of chaos by self-controlling feedback
-
Pyragas K. Continuous control of chaos by self-controlling feedback. Phys Lett A 170 (1992) 421-428
-
(1992)
Phys Lett A
, vol.170
, pp. 421-428
-
-
Pyragas, K.1
-
40
-
-
0000000622
-
On a high order differential delay equation
-
Hale J.K., and Ivanov A.F. On a high order differential delay equation. J Math Anal Appl 170 (1993) 505-514
-
(1993)
J Math Anal Appl
, vol.170
, pp. 505-514
-
-
Hale, J.K.1
Ivanov, A.F.2
-
41
-
-
0030594503
-
On the existence and global bifurcation of periodic solutions to planar differential delay equations
-
Baptistini M.Z. On the existence and global bifurcation of periodic solutions to planar differential delay equations. J Diff Eq 127 (1996) 391-425
-
(1996)
J Diff Eq
, vol.127
, pp. 391-425
-
-
Baptistini, M.Z.1
-
42
-
-
0000209631
-
Discrete delay, distributed delay and stability switches
-
Cooke K.L., and Grossman Z. Discrete delay, distributed delay and stability switches. J Math Anal Appl 86 (1982) 592-627
-
(1982)
J Math Anal Appl
, vol.86
, pp. 592-627
-
-
Cooke, K.L.1
Grossman, Z.2
-
44
-
-
0001283921
-
Stability switches in linear scalar neutral delay equations
-
Freedman H.I., and Kuang Y. Stability switches in linear scalar neutral delay equations. Funkcialaj Ekvacioj 34 (1991) 187-209
-
(1991)
Funkcialaj Ekvacioj
, vol.34
, pp. 187-209
-
-
Freedman, H.I.1
Kuang, Y.2
-
45
-
-
0001509205
-
Integral averaging and bifurcations
-
Chow S., and Mallet-Paret J. Integral averaging and bifurcations. J Diff Eq 26 (1977) 112-159
-
(1977)
J Diff Eq
, vol.26
, pp. 112-159
-
-
Chow, S.1
Mallet-Paret, J.2
-
48
-
-
0019543781
-
Chaotically transitional phenomena in the forced negative resistance oscillator
-
Ueda Y., and Akamatsu N. Chaotically transitional phenomena in the forced negative resistance oscillator. IEEE Trans Circuit Syst CAS-28 (1981) 217-223
-
(1981)
IEEE Trans Circuit Syst
, vol.CAS-28
, pp. 217-223
-
-
Ueda, Y.1
Akamatsu, N.2
-
49
-
-
0038536493
-
Forced oscillations in nearly sinusoidal systems
-
Cartwright M.L. Forced oscillations in nearly sinusoidal systems. J Inst Elect Eng 95 (1949) 88-94
-
(1949)
J Inst Elect Eng
, vol.95
, pp. 88-94
-
-
Cartwright, M.L.1
-
50
-
-
0013322457
-
On the transformation of singularities and limit cycles of the variational equations of van der Pol
-
Gilles A.W. On the transformation of singularities and limit cycles of the variational equations of van der Pol. Quat J Mech Appl Math 7 (1954) 152-167
-
(1954)
Quat J Mech Appl Math
, vol.7
, pp. 152-167
-
-
Gilles, A.W.1
-
52
-
-
0002887375
-
Qualitative analysis of the periodically forced relaxation oscillations
-
Levin M. Qualitative analysis of the periodically forced relaxation oscillations. Mem AMS 214 (1981) 1-147
-
(1981)
Mem AMS
, vol.214
, pp. 1-147
-
-
Levin, M.1
-
53
-
-
0000766018
-
Delay-induced instabilities in nonlinear feedback systems
-
Wischert W., Wunderlin A., Pelster A., Olivier M., and Groslambert J. Delay-induced instabilities in nonlinear feedback systems. Phys Rev E 49 (1994) 203-219
-
(1994)
Phys Rev E
, vol.49
, pp. 203-219
-
-
Wischert, W.1
Wunderlin, A.2
Pelster, A.3
Olivier, M.4
Groslambert, J.5
-
54
-
-
0000131837
-
Delay-induced transitions in visually guided movements
-
Tass P., Kurths J., Rosenblum M.G., Guasti G., and Hefter H. Delay-induced transitions in visually guided movements. Phys Rev E 54 (1996) R2224-R2227
-
(1996)
Phys Rev E
, vol.54
-
-
Tass, P.1
Kurths, J.2
Rosenblum, M.G.3
Guasti, G.4
Hefter, H.5
-
55
-
-
0031274692
-
Perturbation methods in nonlinear dynamics - applications to machining dynamics
-
Nayfeh A.H., Chin C.M., and Pratt J. Perturbation methods in nonlinear dynamics - applications to machining dynamics. J Manufact Sci Eng 119 (1997) 485-493
-
(1997)
J Manufact Sci Eng
, vol.119
, pp. 485-493
-
-
Nayfeh, A.H.1
Chin, C.M.2
Pratt, J.3
-
56
-
-
0037522527
-
Periodic solutions of Volterra's population with hereditary effects
-
Cushing J.M. Periodic solutions of Volterra's population with hereditary effects. SIAM J Appl Math 31 (1976) 251-263
-
(1976)
SIAM J Appl Math
, vol.31
, pp. 251-263
-
-
Cushing, J.M.1
-
57
-
-
0032165293
-
Robust stability for interval Hopfield neutral networks with time delay
-
Liao X., and Yu J. Robust stability for interval Hopfield neutral networks with time delay. IEEE Trans NN 9 (1998) 1042-1046
-
(1998)
IEEE Trans NN
, vol.9
, pp. 1042-1046
-
-
Liao, X.1
Yu, J.2
-
58
-
-
0034729056
-
Periodic oscillation and exponential stability of delayed CNNs
-
Cao J. Periodic oscillation and exponential stability of delayed CNNs. Phys Lett A 270 (2000) 157-163
-
(2000)
Phys Lett A
, vol.270
, pp. 157-163
-
-
Cao, J.1
-
59
-
-
0037860065
-
Numerical Hopf bifurcation for a class delay differential equations
-
Wulf V., and Ford N.J. Numerical Hopf bifurcation for a class delay differential equations. J Comput Appl Math 115 (2000) 601-616
-
(2000)
J Comput Appl Math
, vol.115
, pp. 601-616
-
-
Wulf, V.1
Ford, N.J.2
-
60
-
-
0034300314
-
Dynamics of a limit cycle oscillator under time delayed linear and nonlinear feedbacks
-
Reddy D.V.R., Sen A., and Johnston G.L. Dynamics of a limit cycle oscillator under time delayed linear and nonlinear feedbacks. Physica D 144 (2000) 335-357
-
(2000)
Physica D
, vol.144
, pp. 335-357
-
-
Reddy, D.V.R.1
Sen, A.2
Johnston, G.L.3
-
61
-
-
21844486044
-
Complex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback
-
Campbell S.A., Bélair J., Ohira T., and Milton J. Complex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback. Chaos 5 (1995) 640-645
-
(1995)
Chaos
, vol.5
, pp. 640-645
-
-
Campbell, S.A.1
Bélair, J.2
Ohira, T.3
Milton, J.4
-
62
-
-
34248352395
-
Limit cycles, tori, and complex dynamics in a second-order differential equations with delayed negative feedback
-
Campbell S.A., Bélair J., Ohira T., and Milton J. Limit cycles, tori, and complex dynamics in a second-order differential equations with delayed negative feedback. J Dynam Diff Eq 7 (1995) 213-236
-
(1995)
J Dynam Diff Eq
, vol.7
, pp. 213-236
-
-
Campbell, S.A.1
Bélair, J.2
Ohira, T.3
Milton, J.4
-
63
-
-
0028517922
-
Stability and bifurcations of equilibria in multiple-delayed differential equation
-
Bélair J., and Campbell S.A. Stability and bifurcations of equilibria in multiple-delayed differential equation. SIAM J Appl Math 54 (1994) 1402-1424
-
(1994)
SIAM J Appl Math
, vol.54
, pp. 1402-1424
-
-
Bélair, J.1
Campbell, S.A.2
-
64
-
-
0343689904
-
Synchronization in chaotic systems
-
Pecora L.M., and Carroll T.L. Synchronization in chaotic systems. Phys Rev Lett 64 (1990) 821-824
-
(1990)
Phys Rev Lett
, vol.64
, pp. 821-824
-
-
Pecora, L.M.1
Carroll, T.L.2
-
65
-
-
12044251580
-
Circuit implementation of synchronized chaos with applications to communications
-
Cuomo K.M., and 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
-
66
-
-
0033229303
-
Chaotic communication using time-delayed optical systems
-
Gregory D.V., and Rajarshi R. Chaotic communication using time-delayed optical systems. Int J Bifur Chaos 9 (1999) 2129-2156
-
(1999)
Int J Bifur Chaos
, vol.9
, pp. 2129-2156
-
-
Gregory, D.V.1
Rajarshi, R.2
-
67
-
-
0003590065
-
-
Springer-Verlag, New York
-
Diekmann D., et al. Delay equations (1995), Springer-Verlag, New York
-
(1995)
Delay equations
-
-
Diekmann, D.1
-
71
-
-
0036845207
-
The dynamics of two coupled van der Pol oscillators with delay coupling
-
Wirkus S., and Rand R. The dynamics of two coupled van der Pol oscillators with delay coupling. Nonlinear Dynam 30 (2002) 205-221
-
(2002)
Nonlinear Dynam
, vol.30
, pp. 205-221
-
-
Wirkus, S.1
Rand, R.2
-
72
-
-
0033095735
-
Synthesis of synchronized chaotic systems based on observers
-
Ushio T. Synthesis of synchronized chaotic systems based on observers. Int J Bifur Chaos 9 (1999) 541-546
-
(1999)
Int J Bifur Chaos
, vol.9
, pp. 541-546
-
-
Ushio, T.1
-
73
-
-
0033353814
-
Dynamics of a cubic nonlinear vibration absorber
-
Oueini S.S., Chin C.M., and Nayfeh A.H. Dynamics of a cubic nonlinear vibration absorber. Nonlinear Dynam 20 (1999) 283-295
-
(1999)
Nonlinear Dynam
, vol.20
, pp. 283-295
-
-
Oueini, S.S.1
Chin, C.M.2
Nayfeh, A.H.3
-
74
-
-
4243685225
-
Half-period delayed feedback control for dynamical systems with symmetries
-
Nakajima H., and Ueda Y. Half-period delayed feedback control for dynamical systems with symmetries. Phys Rev E 58 (1998) 1757-1763
-
(1998)
Phys Rev E
, vol.58
, pp. 1757-1763
-
-
Nakajima, H.1
Ueda, Y.2
-
75
-
-
0035848144
-
Control of chaos via an unstable delayed feedback controller
-
Pyragas K. Control of chaos via an unstable delayed feedback controller. Phys Rev Lett 86 (2001) 2265-2268
-
(2001)
Phys Rev Lett
, vol.86
, pp. 2265-2268
-
-
Pyragas, K.1
-
76
-
-
0000374199
-
Mechanism of time-delayed feedback control
-
Just W., Bernard T., Ostheimer M., Reibold E., and Benner H. Mechanism of time-delayed feedback control. Phys Rev Lett 78 (1997) 203-206
-
(1997)
Phys Rev Lett
, vol.78
, pp. 203-206
-
-
Just, W.1
Bernard, T.2
Ostheimer, M.3
Reibold, E.4
Benner, H.5
-
77
-
-
5244259589
-
Delayed feedback control of periodic orbits in autonomous systems
-
Just W., Reckwerth D., Möckel J., Reibold E., and Benner H. Delayed feedback control of periodic orbits in autonomous systems. Phys Rev Lett 81 (1998) 562-565
-
(1998)
Phys Rev Lett
, vol.81
, pp. 562-565
-
-
Just, W.1
Reckwerth, D.2
Möckel, J.3
Reibold, E.4
Benner, H.5
-
78
-
-
0001491948
-
Influence of control loop latency on time-delayed feedback control
-
Just W., Reckwerth D., Reibold E., and Benner H. Influence of control loop latency on time-delayed feedback control. Phys Rev E 59 (1999) 2826-2829
-
(1999)
Phys Rev E
, vol.59
, pp. 2826-2829
-
-
Just, W.1
Reckwerth, D.2
Reibold, E.3
Benner, H.4
-
79
-
-
0000767198
-
Influence of stable Floquet exponents on time-delayed feedback control
-
Just W., Reibold E., Kacperski K., Fronczak P., Holyst J.A., and Benner H. Influence of stable Floquet exponents on time-delayed feedback control. Phys Rev E 61 (2000) 5045-5056
-
(2000)
Phys Rev E
, vol.61
, pp. 5045-5056
-
-
Just, W.1
Reibold, E.2
Kacperski, K.3
Fronczak, P.4
Holyst, J.A.5
Benner, H.6
-
80
-
-
0036339934
-
Time delayed repetitive learning control for chaotic systems
-
Song Y., Yu X., Chen G., Xu J., and Tian Y. Time delayed repetitive learning control for chaotic systems. Int J Bifur Chaos 8 (2002) 1057-1065
-
(2002)
Int J Bifur Chaos
, vol.8
, pp. 1057-1065
-
-
Song, Y.1
Yu, X.2
Chen, G.3
Xu, J.4
Tian, Y.5
-
81
-
-
0036337732
-
Delayed feedback control with state predictor for continuous-time chaotic systems
-
Nakajima H. Delayed feedback control with state predictor for continuous-time chaotic systems. Int J Bifur Chaos 12 (2002) 1067-1077
-
(2002)
Int J Bifur Chaos
, vol.12
, pp. 1067-1077
-
-
Nakajima, H.1
-
83
-
-
0035890834
-
Bifurcations in a planar system of differential delay equations modelling neural activity
-
Giannakopoulos F., and Zapp A. Bifurcations in a planar system of differential delay equations modelling neural activity. Physica D 159 (2001) 215-232
-
(2001)
Physica D
, vol.159
, pp. 215-232
-
-
Giannakopoulos, F.1
Zapp, A.2
-
84
-
-
0041570185
-
Illustrative applications of the theory of delay dynamical systems
-
Fofana M.S., Cabell B.Q., Vawter N., Usilton M.F., and Ryba P.B. Illustrative applications of the theory of delay dynamical systems. Math Comput Model 37 (2003) 1371-1382
-
(2003)
Math Comput Model
, vol.37
, pp. 1371-1382
-
-
Fofana, M.S.1
Cabell, B.Q.2
Vawter, N.3
Usilton, M.F.4
Ryba, P.B.5
-
86
-
-
0036922219
-
Multiple scales without center manifold reductions for delay differential equations near Hopf bifurcation
-
Das S.L., and Chatterjee A. Multiple scales without center manifold reductions for delay differential equations near Hopf bifurcation. Nonlinear Dynam 30 (2002) 323-335
-
(2002)
Nonlinear Dynam
, vol.30
, pp. 323-335
-
-
Das, S.L.1
Chatterjee, A.2
-
87
-
-
0035493290
-
The response of a parametrically excited van der Pol oscillator to a time delay state feedback
-
Maccari A. The response of a parametrically excited van der Pol oscillator to a time delay state feedback. Nonlinear Dynam 26 (2001) 105-119
-
(2001)
Nonlinear Dynam
, vol.26
, pp. 105-119
-
-
Maccari, A.1
-
88
-
-
0036502125
-
Periodic response and chaos in nonlinear systems with parametric excitation and time delay
-
Raghothama A., and Narayanan S. Periodic response and chaos in nonlinear systems with parametric excitation and time delay. Nonlinear Dynam 27 (2002) 341-365
-
(2002)
Nonlinear Dynam
, vol.27
, pp. 341-365
-
-
Raghothama, A.1
Narayanan, S.2
-
89
-
-
0019070376
-
A Poincaré-Lindstedt approach to bifurcation problems for differential-delay equations
-
Casal A., and Freedman M. A Poincaré-Lindstedt approach to bifurcation problems for differential-delay equations. IEEE Trans Automat Control AC-25 (1980) 967-973
-
(1980)
IEEE Trans Automat Control
, vol.AC-25
, pp. 967-973
-
-
Casal, A.1
Freedman, M.2
-
90
-
-
0039120726
-
Bifurcation and Hopf degeneracies in nonlinear feedback systems with time delay
-
Moiola J.L., Chiacchiarini H.G., and Desages A.C. Bifurcation and Hopf degeneracies in nonlinear feedback systems with time delay. Int J Bifur Chaos 6 (1996) 661-672
-
(1996)
Int J Bifur Chaos
, vol.6
, pp. 661-672
-
-
Moiola, J.L.1
Chiacchiarini, H.G.2
Desages, A.C.3
-
91
-
-
0000757329
-
A numerical technique for bifurcation problems in delay differential equations
-
Doedel E.J., and Leung P.P.C. A numerical technique for bifurcation problems in delay differential equations. Congr Numer 34 (1982) 225-237
-
(1982)
Congr Numer
, vol.34
, pp. 225-237
-
-
Doedel, E.J.1
Leung, P.P.C.2
-
92
-
-
0023362493
-
Periodic solutions in a model of recurrent neural feedback
-
Castelfranco A.M., and Stech H.W. Periodic solutions in a model of recurrent neural feedback. SIAM J Appl Math 47 (1987) 573-588
-
(1987)
SIAM J Appl Math
, vol.47
, pp. 573-588
-
-
Castelfranco, A.M.1
Stech, H.W.2
-
93
-
-
34250250639
-
Effective computation of periodic orbits and bifurcation diagrams in delay equations
-
Hadeler K.P. Effective computation of periodic orbits and bifurcation diagrams in delay equations. Numer Math 34 (1980) 457-467
-
(1980)
Numer Math
, vol.34
, pp. 457-467
-
-
Hadeler, K.P.1
-
94
-
-
0031279807
-
Computation, continuation and bifurcation analysis of periodic solutions of delay differential equations
-
Luzyanina T.K., Engelborghs K., Lust K., and Roose D. Computation, continuation and bifurcation analysis of periodic solutions of delay differential equations. Int J Bifur Chaos 11 (1997) 2547-2560
-
(1997)
Int J Bifur Chaos
, vol.11
, pp. 2547-2560
-
-
Luzyanina, T.K.1
Engelborghs, K.2
Lust, K.3
Roose, D.4
-
95
-
-
0029771726
-
A perturbation-increamental method for strongly non-linear oscilltors
-
Chan H.S.Y., Chung K.W., and Xu Z. A perturbation-increamental method for strongly non-linear oscilltors. Int J Nonlinear Mech 31 (1996) 59-72
-
(1996)
Int J Nonlinear Mech
, vol.31
, pp. 59-72
-
-
Chan, H.S.Y.1
Chung, K.W.2
Xu, Z.3
-
96
-
-
0034747510
-
Some bifurcation diagrams for limit cycles of quadratic differential systems
-
Chan H.S.Y., Chung K.W., and Qi D.W. Some bifurcation diagrams for limit cycles of quadratic differential systems. Int J Bifur Chaos 11 (2001) 197-206
-
(2001)
Int J Bifur Chaos
, vol.11
, pp. 197-206
-
-
Chan, H.S.Y.1
Chung, K.W.2
Qi, D.W.3
-
97
-
-
0036575679
-
A perturbation-incremental method for strongly non-linear autonomous oscillators with many degrees of freedom
-
Chung K.W.C., et al. A perturbation-incremental method for strongly non-linear autonomous oscillators with many degrees of freedom. Nonlinear Dynam 28 (2002) 243-259
-
(2002)
Nonlinear Dynam
, vol.28
, pp. 243-259
-
-
Chung, K.W.C.1
-
98
-
-
0019526830
-
A FitzHuge differential-difference equation modeling recurrent neural feedback
-
Plant R.E. A FitzHuge differential-difference equation modeling recurrent neural feedback. SIAM J Appl Math 40 (1981) 150-162
-
(1981)
SIAM J Appl Math
, vol.40
, pp. 150-162
-
-
Plant, R.E.1
-
99
-
-
0039483059
-
Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
-
Engelborghs K., Luzyanina T., and Roose D. Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL. ACM Trans Math Softw 28 (2002) 1-21
-
(2002)
ACM Trans Math Softw
, vol.28
, pp. 1-21
-
-
Engelborghs, K.1
Luzyanina, T.2
Roose, D.3
-
100
-
-
0142153915
-
An efficient method for switching branches of period-doubling bifurcations of strongly non-linear autonomous oscillators with many degrees of freedom
-
Chung K.W.C., Chan C.L., and Xu J. An efficient method for switching branches of period-doubling bifurcations of strongly non-linear autonomous oscillators with many degrees of freedom. J Sound Vib 267 (2003) 787-808
-
(2003)
J Sound Vib
, vol.267
, pp. 787-808
-
-
Chung, K.W.C.1
Chan, C.L.2
Xu, J.3
|