-
1
-
-
0031258009
-
-
H.D.I. Abarbanel, N.F. Rulkov, and M.M. SushchikRobustness and stability of synchronized chaos: an illustrative model, IEEE Trans. Circuits Syst. I, 44(10) (1997), pp. 867-873.
-
H.D.I. Abarbanel, N.F. Rulkov, and M.M. SushchikRobustness and stability of synchronized chaos: an illustrative model, IEEE Trans. Circuits Syst. I, 44(10) (1997), pp. 867-873.
-
-
-
-
2
-
-
0035139439
-
Synchronization ofRdssler and Chen chaotic dynamical systems using active control
-
H.N. Agiza and M.T. Yassen, Synchronization ofRdssler and Chen chaotic dynamical systems using active control,Phys. Lett. A 278(4) (2001), pp. 191-197.
-
(2001)
Phys. Lett. A
, vol.278
, Issue.4
, pp. 191-197
-
-
Agiza, H.N.1
Yassen, M.T.2
-
3
-
-
0027340050
-
Chaos reduces species extinction by amplifying local population noise
-
J.C. Allen, W.M. Schaffer, and D. Rosko, Chaos reduces species extinction by amplifying local population noise, Nature 364 (1993), pp. 229-232.
-
(1993)
Nature
, vol.364
, pp. 229-232
-
-
Allen, J.C.1
Schaffer, W.M.2
Rosko, D.3
-
4
-
-
33744891845
-
-
Phys. Lett. A1
-
P. Ashwin, J. Buescu, and I. Stewart, Bubbling of attractors and synchronization of chaotic oscillators, Phys. Lett. A1 93(2) (1994), pp. 126-139.
-
(1994)
Bubbling of attractors and synchronization of chaotic oscillators
, vol.93
, Issue.2
, pp. 126-139
-
-
Ashwin, P.1
Buescu, J.2
Stewart, I.3
-
5
-
-
0036833066
-
Study of a Leslie?Gower-type tritrophic population model
-
M.A. Aziz-Alaoui, Study of a Leslie?Gower-type tritrophic population model, Chaos Solitons Fractals 14(8)(2002), pp. 1275-1293.
-
(2002)
Chaos Solitons Fractals
, vol.14
, Issue.8
, pp. 1275-1293
-
-
Aziz-Alaoui, M.A.1
-
6
-
-
0034560406
-
Chaos and phase synchronization in ecological systems
-
B. Blasius and L. Stone, Chaos and phase synchronization in ecological systems, Int. J. Bifur. Chaos 10(10) (2000), pp. 2361-2380.
-
(2000)
Int. J. Bifur. Chaos
, vol.10
, Issue.10
, pp. 2361-2380
-
-
Blasius, B.1
Stone, L.2
-
7
-
-
0030620649
-
Chaotic dynamics in an insect population
-
R.F. Costantino, R.A. Desharnais, J.M. Cushing, and B. Dennis,Chaotic dynamics in an insect population, Science 275 (1997), pp. 389-391.
-
(1997)
Science
, vol.275
, pp. 389-391
-
-
Costantino, R.F.1
Desharnais, R.A.2
Cushing, J.M.3
Dennis, B.4
-
8
-
-
0030912759
-
Controlling spatial chaos in metapopulations with long-range dispersal
-
M. Doebeli, and G.D. Ruxton, Controlling spatial chaos in metapopulations with long-range dispersal, Bull. Math. Biol. 59(3) (1997), pp. 497-515.
-
(1997)
Bull. Math. Biol
, vol.59
, Issue.3
, pp. 497-515
-
-
Doebeli, M.1
Ruxton, G.D.2
-
9
-
-
0036722199
-
Chaos in three species ratio dependent food chain
-
S. Gakkhar and R.K. Naji, Chaos in three species ratio dependent food chain, Chaos Solitons Fractals 14(5) (2002), pp. 771-778.
-
(2002)
Chaos Solitons Fractals
, vol.14
, Issue.5
, pp. 771-778
-
-
Gakkhar, S.1
Naji, R.K.2
-
10
-
-
0342592534
-
Control, synchrony and the persistence of chaotic populations
-
J.G.P. Gamarra, R.V. Solé, and D. Alonso, Control, synchrony and the persistence of chaotic populations, Chaos Solitons Fractals 12(2) (2001), pp. 235-249.
-
(2001)
Chaos Solitons Fractals
, vol.12
, Issue.2
, pp. 235-249
-
-
Gamarra, J.G.P.1
Solé, R.V.2
Alonso, D.3
-
11
-
-
0001299511
-
Spiral chaos in a predator?prey model
-
M.E. Gilpin, Spiral chaos in a predator?prey model, Am. Nat. 113 (1979), pp. 306-308.
-
(1979)
Am. Nat
, vol.113
, pp. 306-308
-
-
Gilpin, M.E.1
-
12
-
-
34548667998
-
Applications of chaos control techniques to a three-species food chain
-
A.A. Gomes, E. Manica, and M.C. Varriale, Applications of chaos control techniques to a three-species food chain, Chaos Solitons Fractals 35(3) (2008), pp. 432-441.
-
(2008)
Chaos Solitons Fractals
, vol.35
, Issue.3
, pp. 432-441
-
-
Gomes, A.A.1
Manica, E.2
Varriale, M.C.3
-
13
-
-
0025956240
-
Chaos in a three-species food chain
-
A. Hastings and T. Powell, Chaos in a three-species food chain, Ecology 72(3) (1991), pp. 896-903.
-
(1991)
Ecology
, vol.72
, Issue.3
, pp. 896-903
-
-
Hastings, A.1
Powell, T.2
-
14
-
-
0002366911
-
The functional response ofpredator to prey density and its role in mimicry and population regulation
-
C.S. Holling, The functional response ofpredator to prey density and its role in mimicry and population regulation, Mem. Entomo. Soc. Can. 45(1) (1965), pp. 1-60.
-
(1965)
Mem. Entomo. Soc. Can
, vol.45
, Issue.1
, pp. 1-60
-
-
Holling, C.S.1
-
16
-
-
0031237459
-
-
C.C. Hwang, J.Y. Hsieh, andR.S. Lin, A linear continuous feedback control of Chua's circuit, Chaos Solitons Fractals 8(9) (1997), pp. 1507-1515.
-
C.C. Hwang, J.Y. Hsieh, andR.S. Lin, A linear continuous feedback control of Chua's circuit, Chaos Solitons Fractals 8(9) (1997), pp. 1507-1515.
-
-
-
-
18
-
-
0036028189
-
Analysis of the dynamics of a realistic ecological model
-
C. Letellier, and M.A. Aziz-Alaoui, Analysis of the dynamics of a realistic ecological model, Chaos Solitons Fractals 13(1) (2002), pp. 95-107.
-
(2002)
Chaos Solitons Fractals
, vol.13
, Issue.1
, pp. 95-107
-
-
Letellier, C.1
Aziz-Alaoui, M.A.2
-
19
-
-
0032155291
-
Adaptive synchronization of two Lorenz systems
-
T. Liao, Adaptive synchronization of two Lorenz systems, Chaos Solitons Fractals 9(9) (1998), pp. 1555-1561.
-
(1998)
Chaos Solitons Fractals
, vol.9
, Issue.9
, pp. 1555-1561
-
-
Liao, T.1
-
20
-
-
1842581466
-
Dynamic complexities of a Holling I predator - prey model concerning periodic biological and chemical control
-
B. Liu, Y. Zhang, and L. Chen, Dynamic complexities of a Holling I predator - prey model concerning periodic biological and chemical control, Chaos Solitons Fractals 22(1) (2004), pp. 123-134.
-
(2004)
Chaos Solitons Fractals
, vol.22
, Issue.1
, pp. 123-134
-
-
Liu, B.1
Zhang, Y.2
Chen, L.3
-
21
-
-
0032047216
-
Analysis of a bidirectional coupled-inductor Cuk converter operation in sliding mode
-
L. Martínez-Salamero, J. Calvente, R. Giral, A. Poveda, and E. Fossas Analysis of a bidirectional coupled-inductor Cuk converter operation in sliding mode, IEEE Trans. Circuits Sys. 45(4) (1998), pp. 355-362.
-
(1998)
IEEE Trans. Circuits Sys
, vol.45
, Issue.4
, pp. 355-362
-
-
Martínez-Salamero, L.1
Calvente, J.2
Giral, R.3
Poveda, A.4
Fossas, E.5
-
22
-
-
0017185443
-
Simple mathematical models with very complicated dynamics
-
R.M. May, Simple mathematical models with very complicated dynamics, Nature 261 (1977), pp. 459-467.
-
(1977)
Nature
, vol.261
, pp. 459-467
-
-
May, R.M.1
-
23
-
-
0029479690
-
Bifurcation structure ofa three-species food chains model
-
K. McCann and P. Yodis, Bifurcation structure ofa three-species food chains model, Theor. Popul. Biol. 48(1) (1995), pp. 93-125.
-
(1995)
Theor. Popul. Biol
, vol.48
, Issue.1
, pp. 93-125
-
-
McCann, K.1
Yodis, P.2
-
24
-
-
4243489552
-
Controlling chaos
-
E. Ott, C. Grebogi, and J.A. Yorke, Controlling chaos, Phys. Rev. Lett. 64(11) (1990), pp. 1196-1199.
-
(1990)
Phys. Rev. Lett
, vol.64
, Issue.11
, pp. 1196-1199
-
-
Ott, E.1
Grebogi, C.2
Yorke, J.A.3
-
25
-
-
0001767060
-
Controlling chaos in unidimensional maps using constant feedback
-
S. Parthasarathy ans S. Sinha, Controlling chaos in unidimensional maps using constant feedback, Phys. Rev. E 51(6) (1995), pp. 6239-6242.
-
(1995)
Phys. Rev. E
, vol.51
, Issue.6
, pp. 6239-6242
-
-
Parthasarathy, S.1
Sinha, S.2
-
26
-
-
0343689904
-
Synchronization in chaotic systems
-
L.M. Pecora and T.L. Carroll, Synchronization in chaotic systems, Phys. Rev. Lett. 64(8) (1990), pp. 821-824.
-
(1990)
Phys. Rev. Lett
, vol.64
, Issue.8
, pp. 821-824
-
-
Pecora, L.M.1
Carroll, T.L.2
-
27
-
-
1642308743
-
Chaotic population dynamics and biology of the top-predator
-
V. Rai and R.K. Upadhyay, Chaotic population dynamics and biology of the top-predator,Chaos Solitons Fractals 21(5) (2004), pp. 1195-1204.
-
(2004)
Chaos Solitons Fractals
, vol.21
, Issue.5
, pp. 1195-1204
-
-
Rai, V.1
Upadhyay, R.K.2
-
28
-
-
0345849832
-
A comparative study ofcomputation ofLyapunov spectra with different algorithms
-
K. Ramasubramanian and M.S. Sriram, A comparative study ofcomputation ofLyapunov spectra with different algorithms, Physica D 139 (2000), pp. 72-86.
-
(2000)
Physica D
, vol.139
, pp. 72-86
-
-
Ramasubramanian, K.1
Sriram, M.S.2
-
29
-
-
0001524523
-
Graphical representation and stability conditions of predator - prey interactions
-
M.L. Rosenzweig and R.H. MacArthur, Graphical representation and stability conditions of predator - prey interactions, Am. Nat. 97 (1963), pp. 205-223.
-
(1963)
Am. Nat
, vol.97
, pp. 205-223
-
-
Rosenzweig, M.L.1
MacArthur, R.H.2
-
30
-
-
0032701815
-
Controlling chaos in ecology: From deterministic to individual-based models
-
R.V. Solé, J.G.P. Gamarra, M. Ginovart, and D. López, Controlling chaos in ecology: from deterministic to individual-based models, Bull. Math. Biol. 61(6) (1999), pp. 1187-1207.
-
(1999)
Bull. Math. Biol
, vol.61
, Issue.6
, pp. 1187-1207
-
-
Solé, R.V.1
Gamarra, J.G.P.2
Ginovart, M.3
López, D.4
-
31
-
-
60249085502
-
Chaos to order: Role of toxin producing phytoplankton in aquatic systems
-
R.K. Upadhyay and J. Chattopadhyay, Chaos to order: role of toxin producing phytoplankton in aquatic systems, Nonlinear Anal. 10(4) (2005), pp. 383-396.
-
(2005)
Nonlinear Anal
, vol.10
, Issue.4
, pp. 383-396
-
-
Upadhyay, R.K.1
Chattopadhyay, J.2
-
32
-
-
13644280079
-
Effect of seasonality on the dynamics of 2 and 3 species prey-predator systems
-
R.K. Upadhyay and S.R.K. Iyengar, Effect of seasonality on the dynamics of 2 and 3 species prey-predator systems, Nonlinear Anal. 6(3) (2005), pp. 509-530.
-
(2005)
Nonlinear Anal
, vol.6
, Issue.3
, pp. 509-530
-
-
Upadhyay, R.K.1
Iyengar, S.R.K.2
-
33
-
-
37449022222
-
Dynamical complexity in some ecological models: Effect of toxin production by phytoplankton
-
R.K. Upadhyay, R.K. Naji, and N. Kumari, Dynamical complexity in some ecological models: effect of toxin production by phytoplankton, Nonlinear Anal. 12(1) (2007), pp. 123-138.
-
(2007)
Nonlinear Anal
, vol.12
, Issue.1
, pp. 123-138
-
-
Upadhyay, R.K.1
Naji, R.K.2
Kumari, N.3
-
34
-
-
0343462474
-
Categories ofchaos and fractal basin boundaries in forced predator - prey models
-
J. Vandermeer, L. Stone, and B. Blasius, Categories ofchaos and fractal basin boundaries in forced predator - prey models, Chaos Solitons Fractals 12(2) (2001), pp. 265-276.
-
(2001)
Chaos Solitons Fractals
, vol.12
, Issue.2
, pp. 265-276
-
-
Vandermeer, J.1
Stone, L.2
Blasius, B.3
-
35
-
-
0034366942
-
Anticontrol of chaos in continuous-time systems via time-delay feedback
-
X. Wang, G.R. Chen, and X. Yu, Anticontrol of chaos in continuous-time systems via time-delay feedback, Chaos 10(4) (2000), pp. 771-779.
-
(2000)
Chaos
, vol.10
, Issue.4
, pp. 771-779
-
-
Wang, X.1
Chen, G.R.2
Yu, X.3
-
36
-
-
0008494528
-
Determining Lyapunov exponents from a time series
-
A. Wolf, J.B. Swift, H.L. Swinney, and J.A. Vastano, Determining Lyapunov exponents from a time series, Physica D 16 (1985), pp. 285-317.
-
(1985)
Physica D
, vol.16
, pp. 285-317
-
-
Wolf, A.1
Swift, J.B.2
Swinney, H.L.3
Vastano, J.A.4
-
37
-
-
0034596885
-
Impulsive control for the stabilization and synchronization ofLorenzsystems
-
W. Xie, C. Wen, and Z. Li, Impulsive control for the stabilization and synchronization ofLorenzsystems, Phys. Lett. A 275(1) (2000), pp. 67-72.
-
(2000)
Phys. Lett. A
, vol.275
, Issue.1
, pp. 67-72
-
-
Xie, W.1
Wen, C.2
Li, Z.3
-
38
-
-
13444288053
-
A Holling II functional response food chain model with impulsive perturbations
-
S. Zhang and L. Chen, A Holling II functional response food chain model with impulsive perturbations, Chaos Solitons Fractals 24(5) (2005), pp. 1269-1278.
-
(2005)
Chaos Solitons Fractals
, vol.24
, Issue.5
, pp. 1269-1278
-
-
Zhang, S.1
Chen, L.2
-
39
-
-
9644278028
-
Chaos in three species food chain system with impulsive perturbations
-
- Chaos in three species food chain system with impulsive perturbations, Chaos Solitons Fractals 24(1) (2005), pp. 73-83.
-
(2005)
Chaos Solitons Fractals
, vol.24
, Issue.1
, pp. 73-83
-
-
Zhang, S.1
Chen, L.2
-
40
-
-
22344452897
-
A study of predator - prey models with the Beddington - DeAnglis functional response and impulsive effect
-
- A study of predator - prey models with the Beddington - DeAnglis functional response and impulsive effect, Chaos Solitons Fractals 27(1) (2006), pp. 237-248.
-
(2006)
Chaos Solitons Fractals
, vol.27
, Issue.1
, pp. 237-248
-
-
Zhang, S.1
Chen, L.2
-
41
-
-
4243053687
-
The study of predator - prey system with defensive ability of prey and impulsive perturbations on the predator
-
S. Zhang, L. Dong, and L. Chen, The study of predator - prey system with defensive ability of prey and impulsive perturbations on the predator, Chaos Solitons Fractals 23(2) (2005), pp. 631-643.
-
(2005)
Chaos Solitons Fractals
, vol.23
, Issue.2
, pp. 631-643
-
-
Zhang, S.1
Dong, L.2
Chen, L.3
-
42
-
-
17644368942
-
Dynamic complexityofa two-preyone-predator system with impulsive effect
-
Y. Zhang, Z. Xiu, and L. Chen, Dynamic complexityofa two-preyone-predator system with impulsive effect, Chaos Solitons Fractals 26(1) (2005), pp. 131-139.
-
(2005)
Chaos Solitons Fractals
, vol.26
, Issue.1
, pp. 131-139
-
-
Zhang, Y.1
Xiu, Z.2
Chen, L.3
|