-
1
-
-
38349021174
-
Analysis of a dynamical system derived from the lorenz system
-
Tigan, Gh., 2005, "Analysis of a Dynamical System Derived From the Lorenz System," Scientific Bulletin Politehnica University of Timisoara, Tomul, 50(64), pp. 61-72.
-
(2005)
Scientific Bulletin Politehnica University of Timisoara, Tomul
, vol.50
, Issue.64
, pp. 61-72
-
-
Tigan, Gh.1
-
3
-
-
12244304206
-
Breaking projective chaos synchronization secure communication using filtering and generalized synchronization
-
Álvarez, G., Li, S., Montoya, F, Pastor, G., and Romera, M., 2005, "Breaking Projective Chaos Synchronization Secure Communication Using Filtering and Generalized Synchronization," Chaos, Solitons Fractals, 24, pp. 775-783.
-
(2005)
Chaos, Solitons Fractals
, vol.24
, pp. 775-783
-
-
Álvarez, G.1
Li, S.2
Montoya, F.3
Pastor, G.4
Romera, M.5
-
4
-
-
0343689904
-
Synchronization in chaotic systems
-
Pecora, L. M., and Carroll, T. L., 1990, "Synchronization in Chaotic Systems," Phys. Rev. Lett., 64(8), pp. 821-824.
-
(1990)
Phys. Rev. Lett.
, vol.64
, Issue.8
, pp. 821-824
-
-
Pecora, L.M.1
Carroll, T.L.2
-
5
-
-
5344269568
-
Driving systems with chaotic signals
-
Pecora, L. M., and Carroll, T. L., 1991, "Driving Systems With Chaotic Signals," Phys. Rev. A, 44(4), pp. 2374-2383.
-
(1991)
Phys. Rev. A
, vol.44
, Issue.4
, pp. 2374-2383
-
-
Pecora, L.M.1
Carroll, T.L.2
-
6
-
-
33751555569
-
Some simple chaotic flows
-
Sprott, J. C, 1994, "Some Simple Chaotic Flows," Phys. Rev. E, 50(2), pp. R647-R650.
-
(1994)
Phys. Rev. e
, vol.50
, Issue.2
-
-
Sprott, J.C.1
-
7
-
-
0001234956
-
A case of the existence of a countable number of periodic motions
-
Shil'nikov, L. P., 1965, "A Case of the Existence of a Countable Number of Periodic Motions," Sov. Math. Dokl., 6, pp. 163-166.
-
(1965)
Sov. Math. Dokl.
, vol.6
, pp. 163-166
-
-
Shil'Nikov, L.P.1
-
8
-
-
84956230541
-
A contribution of the problem of the structure of an extended neighborhood of rough equilibrium state of saddle-focus type
-
Shil'nikov, L. P., 1970, "A Contribution of the Problem of the Structure of an Extended Neighborhood of Rough Equilibrium State of Saddle-Focus Type," Math. USSR. Sb., 10, pp. 91-102.
-
(1970)
Math. USSR. Sb.
, vol.10
, pp. 91-102
-
-
Shil'Nikov L., .P.1
-
9
-
-
0027685164
-
Shil'nikov theorem-a tutorial
-
Silva, C. P., 1993, "Shil'nikov Theorem-A Tutorial," IEEE Trans. Circuits Syst, I: Regul. Pap., 40, pp. 675-682.
-
(1993)
IEEE Trans. Circuits Syst I: Regul. Pap.
, vol.40
, pp. 675-682
-
-
Silva, C.P.1
-
10
-
-
29544432073
-
Existence of heteroclinic orbits of the shil'nikov type in a 3d quadratic autonomous chaotic system
-
Zheng, Z., and Chen, G., 2006, "Existence of Heteroclinic Orbits of the Shil'nikov Type in a 3D Quadratic Autonomous Chaotic System," J. Math. Anal. Appl., 315, pp. 106-119.
-
(2006)
J. Math. Anal. Appl.
, vol.315
, pp. 106-119
-
-
Zheng, Z.1
Chen, G.2
-
11
-
-
15544370574
-
Shil'nikov chaos in the generalized lorenz canonical form of dynamics system
-
Zhou, T. S., Chen, G., and Celikovsky, S., 2005, "Shil'nikov Chaos in the Generalized Lorenz Canonical Form of Dynamics System," Nonlinear Dyn., 39, pp. 319-334.
-
(2005)
Nonlinear Dyn.
, vol.39
, pp. 319-334
-
-
Zhou, T.S.1
Chen, G.2
Celikovsky, S.3
-
12
-
-
35548953226
-
Shil'nikov heteroclinic orbits in a chaotic system
-
Sun, F.-Y., 2007, "Shil'nikov Heteroclinic Orbits in a Chaotic System," Int. J. Mod. Phys. B, 21, pp. 4429-4436.
-
(2007)
Int. J. Mod. Phys. B
, vol.21
, pp. 4429-4436
-
-
Sun, F.-Y.1
-
13
-
-
33845393923
-
Shil'nikov-type orbits of lorenz-family systems
-
Wang, J., Zhao, M., Zhang, Y., and Xiong, X., 2007, "Shil'nikov-Type Orbits of Lorenz-Family Systems," Physica A, 375, pp. 438-446.
-
(2007)
Physica A
, vol.375
, pp. 438-446
-
-
Wang, J.1
Zhao, M.2
Zhang, Y.3
Xiong, X.4
-
14
-
-
33846933597
-
The existence of shil'nikov homoclinic orbits in the michelson system: A computer assisted proof
-
Wilczak, D., 2006, "The Existence of Shil'nikov Homoclinic Orbits in the Michelson System: A Computer Assisted Proof," Found Comput. Math., 6, pp. 495-535.
-
(2006)
Found Comput. Math.
, vol.6
, pp. 495-535
-
-
Wilczak, D.1
-
17
-
-
47849115552
-
A lin's method approach to finding and continuing heteroclinic connections involving periodic orbits
-
Krauskopf, B., and Rieß, T., 2008, "A Lin's Method Approach to Finding and Continuing Heteroclinic Connections Involving Periodic Orbits," Nonlinearity, 21, pp. 1655-1690.
-
(2008)
Nonlinearity
, vol.21
, pp. 1655-1690
-
-
Krauskopf, B.1
Rieß, T.2
-
18
-
-
14844331449
-
Two-heteroclinic orbits emerging in the reversible homoclinic pitchfork bifurcation
-
Wagenknecht, T., 2005, "Two-Heteroclinic Orbits Emerging in the Reversible Homoclinic Pitchfork Bifurcation," Nonlinearity, 18, pp. 527-542.
-
(2005)
Nonlinearity
, vol.18
, pp. 527-542
-
-
Wagenknecht, T.1
-
19
-
-
33748570174
-
Shil'nikov homoclinic orbits in a new chaotic system
-
Jiang, Y., and Sun, J., 2007, "Shil'nikov Homoclinic Orbits in a New Chaotic System," Chaos, Solitons Fractals, 32, pp. 150-159.
-
(2007)
Chaos, Solitons Fractals
, vol.32
, pp. 150-159
-
-
Jiang, Y.1
Sun, J.2
-
20
-
-
67650812261
-
Shil'nikov chaos and hopf bifurcation analysis of ruck-lidge system
-
Wang, X., 2009, "Shil'nikov Chaos and Hopf Bifurcation Analysis of Ruck-lidge System," Chaos, Solitons Fractals, 42, pp. 2208-2217.
-
(2009)
Chaos, Solitons Fractals
, vol.42
, pp. 2208-2217
-
-
Wang, X.1
-
21
-
-
70349774466
-
Stability and chaos of a damped satellite partially filled with liquid
-
Zhou, L., Chen, Y, and Chen, F, 2009, "Stability and Chaos of a Damped Satellite Partially Filled With Liquid," Acta Astronaut., 65, pp. 1628-1638.
-
(2009)
Acta Astronaut.
, vol.65
, pp. 1628-1638
-
-
Zhou, L.1
Chen, Y.2
Chen, F.3
-
22
-
-
67651232588
-
Existence of a new three- dimensional chaotic attractor
-
Wang, J., Chen, Z., and Yuan, Z., 2009, "Existence of a New Three- Dimensional Chaotic Attractor," Chaos, Solitons Fractals, 42, pp. 3053-3057.
-
(2009)
Chaos, Solitons Fractals
, vol.42
, pp. 3053-3057
-
-
Wang, J.1
Chen, Z.2
Yuan, Z.3
-
23
-
-
0032155201
-
Shil'nikov orbits in an autonomous third-order chaotic phase-locked loop
-
Watada, K., Tetsuro, E., and Seishi, H., 1998, "Shil'nikov Orbits in an Autonomous Third-Order Chaotic Phase-Locked Loop," IEEE Trans. Circuits Syst., I: Fundam. Theory Appl., 45, pp. 979-983.
-
(1998)
IEEE Trans. Circuits Syst. I: Fundam. Theory Appl.
, vol.45
, pp. 979-983
-
-
Watada, K.1
Tetsuro, E.2
Seishi, H.3
-
24
-
-
10444267277
-
Chen's attractor exists
-
Zhou, T., Tang, Y, and Chen, G., 2004, "Chen's Attractor Exists," Int. J. Bifurcation Chaos Appl. Sci. Eng., 9, pp. 3167-3177.
-
(2004)
Int. J. Bifurcation Chaos Appl. Sci. Eng.
, vol.9
, pp. 3167-3177
-
-
Zhou, T.1
Tang, Y.2
Chen, G.3
-
25
-
-
37849184991
-
Classification of chaos in 3-D autonomous quadratic systems-I. Basic framework and methods
-
Zhou, T., and Chen, G., 2006, "Classification of Chaos in 3-D Autonomous Quadratic Systems-I. Basic Framework and Methods," Int. J. Bifurcation Chaos Appl. Sci. Eng., 16, pp. 2459-2479.
-
(2006)
Int. J. Bifurcation Chaos Appl. Sci. Eng.
, vol.16
, pp. 2459-2479
-
-
Zhou, T.1
Chen, G.2
-
26
-
-
38649114696
-
Analysis of a 3D chaotic system
-
Tigan, G., and Dumitru, O., 2008, "Analysis of a 3D Chaotic System," Chaos, Solitons Fractals, 36, pp. 1315-1319.
-
(2008)
Chaos, Solitons Fractals
, vol.36
, pp. 1315-1319
-
-
Tigan, G.1
Dumitru, O.2
-
27
-
-
67649882006
-
Heteroclinic orbits in the T and the lü systems
-
Tigan, G., and Constantinescu, D., 2009, "Heteroclinic Orbits in the T and the Lü Systems," Chaos, Solitons Fractals, 42, pp. 20-23.
-
(2009)
Chaos, Solitons Fractals
, vol.42
, pp. 20-23
-
-
Tigan, G.1
Constantinescu, D.2
-
28
-
-
70350707952
-
Hopf bifurcation analysis in the T system
-
Jiang, B., Han, X., and Bi, Q., 2010, "Hopf Bifurcation Analysis in the T System," Nonlinear Anal.: Real World Appl., 11, pp. 522-527.
-
(2010)
Nonlinear Anal.: Real World Appl.
, vol.11
, pp. 522-527
-
-
Jiang, B.1
Han, X.2
Bi, Q.3
-
31
-
-
67650450881
-
Chaos synchronization of a new 3D chaotic system
-
Wu, Y, Zhou, X., Chen, J., and Hui, B., 2009, "Chaos Synchronization of a New 3D Chaotic System," Chaos, Solitons Fractals, 42, pp. 1812-1819.
-
(2009)
Chaos, Solitons Fractals
, vol.42
, pp. 1812-1819
-
-
Wu, Y.1
Zhou, X.2
Chen, J.3
Hui, B.4
-
32
-
-
67649378978
-
Nonlinear dynamics and circuit implementation for a new lorenz-like attractor
-
Li, X.-F, Chu, Y.-D., Zhang, J.-G., and Chang, Y.-X., 2009, "Nonlinear Dynamics and Circuit Implementation for a New Lorenz-Like Attractor," Chaos, Solitons Fractals, 41, pp. 2360-2370.
-
(2009)
Chaos, Solitons Fractals
, vol.41
, pp. 2360-2370
-
-
Li, X.-F.1
Chu, Y.-D.2
Zhang, J.-G.3
Chang, Y.-X.4
-
33
-
-
51349152372
-
Chaos control in a new three-dimensional chaotic T system
-
Yong, C, and Zhen-Ya, Y, 2008, "Chaos Control in a New Three-Dimensional Chaotic T System," Commun. Theor. Phys., 49, pp. 951-954.
-
(2008)
Commun. Theor. Phys.
, vol.49
, pp. 951-954
-
-
Yong, C.1
Zhen-Ya, Y.2
-
34
-
-
0003686039
-
-
Wiley, New York
-
Nayfeh, A. H., and Balachandran, B., 1995, Applied Nonlinear Dynamics, Wiley, New York.
-
(1995)
Applied Nonlinear Dynamics
-
-
Nayfeh, A.H.1
Balachandran, B.2
-
35
-
-
0027040081
-
On bifurcations and chaos in predator-prey models with delay
-
Choudhury, S. R., 1992, "On Bifurcations and Chaos in Predator-Prey Models With Delay," Chaos, Solitons Fractals, 2, pp. 393-409.
-
(1992)
Chaos, Solitons Fractals
, vol.2
, pp. 393-409
-
-
Choudhury, S.R.1
-
36
-
-
78650166120
-
AUTO-software for continuation and bifurcation problems in odes
-
Doedel, E. J., 1986, "AUTO-Software for Continuation and Bifurcation Problems in ODEs," CALTECH Report.
-
(1986)
CALTECH Report
-
-
Doedel, E.J.1
-
37
-
-
0000378937
-
Numerical analysis and control of bifurcation problems i and II
-
and 745-772
-
Doedel, E. J., Keller, H. B., and Kernevez, J. P., 1991, "Numerical Analysis and Control of Bifurcation Problems I and II," Int. J. Bifurcation Chaos Appl. Sci. Eng., 1, pp. 493-520 and 745-772.
-
(1991)
Int. J. Bifurcation Chaos Appl. Sci. Eng.
, vol.1
, pp. 493-520
-
-
Doedel, E.J.1
Keller, H.B.2
Kernevez, J.P.3
|