메뉴 건너뛰기




Volumn 6, Issue 2, 2011, Pages

Shil'nikov analysis of homoclinic and heteroclinic orbits of the T system

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC BEHAVIORS; HETEROCLINIC ORBIT; HOMOCLINIC; HOMOCLINIC ORBITS; LORENZ SYSTEM; PARAMETER REGIMES; POLITEHNICA; POTENTIAL APPLICATIONS; SECURE COMMUNICATIONS; SMALE HORSESHOE; T-SYSTEMS;

EID: 78650104546     PISSN: 15551415     EISSN: 15551423     Source Type: Journal    
DOI: 10.1115/1.4002685     Document Type: Article
Times cited : (16)

References (37)
  • 3
    • 12244304206 scopus 로고    scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고
    • 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
  • 10
    • 29544432073 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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
  • 25
    • 37849184991 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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
  • 31
    • 67650450881 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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
  • 35
    • 0027040081 scopus 로고
    • 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 scopus 로고
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.