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Volumn 42, Issue 3, 2009, Pages 1784-1791

A numeric-analytic method for approximating the chaotic Chen system

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC SYSTEMS; LYAPUNOV METHODS; NUMERICAL METHODS;

EID: 67650421588     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2009.03.096     Document Type: Article
Times cited : (21)

References (40)
  • 1
    • 33646247611 scopus 로고    scopus 로고
    • Adomian decomposition method for solving BVPs for fourth-order integro-differential equations
    • in press, doi:10.1016/j.cam.2005.05.034
    • Hashim I. Adomian decomposition method for solving BVPs for fourth-order integro-differential equations. J Comp Appl Math, in press, doi:10.1016/j.cam.2005.05.034.
    • J Comp Appl Math
    • Hashim, I.1
  • 5
    • 65449148390 scopus 로고    scopus 로고
    • On accuracy of Adomian decomposition method for hyperchaotic Rössler system
    • Al-Sawalha M.M., Noorani M.S.M., and Hashim I. On accuracy of Adomian decomposition method for hyperchaotic Rössler system. Chaos, Solitons & Fractals 40 (2009) 1801-1807
    • (2009) Chaos, Solitons & Fractals , vol.40 , pp. 1801-1807
    • Al-Sawalha, M.M.1    Noorani, M.S.M.2    Hashim, I.3
  • 6
    • 34548233218 scopus 로고    scopus 로고
    • Application of variational iteration method to heat- and wave-like equations
    • Batiha B., Noorani M.S.M., and Hashim I. Application of variational iteration method to heat- and wave-like equations. Phys Lett A 369 1-2 (2007) 55-61
    • (2007) Phys Lett A , vol.369 , Issue.1-2 , pp. 55-61
    • Batiha, B.1    Noorani, M.S.M.2    Hashim, I.3
  • 7
    • 65549135923 scopus 로고    scopus 로고
    • Efficacy of variational iteration method for chaotic Genesio system - Classical and multistage approach
    • Goh S.M., Noorani M.S.M., and Hashim I. Efficacy of variational iteration method for chaotic Genesio system - Classical and multistage approach. Chaos, Solitons & Fractals 40 (2009) 2152-2159
    • (2009) Chaos, Solitons & Fractals , vol.40 , pp. 2152-2159
    • Goh, S.M.1    Noorani, M.S.M.2    Hashim, I.3
  • 8
    • 0000092673 scopus 로고    scopus 로고
    • Variational iteration method - a kind of non-linear analytical technique: some examples
    • He J.H. Variational iteration method - a kind of non-linear analytical technique: some examples. Int J Non-Linear Mech 34 (1999) 699-708
    • (1999) Int J Non-Linear Mech , vol.34 , pp. 699-708
    • He, J.H.1
  • 9
    • 19144365030 scopus 로고    scopus 로고
    • Variational iteration method for solving Burger's and coupled Burger's equations
    • Abdou M.A., and Soliman A.A. Variational iteration method for solving Burger's and coupled Burger's equations. J Comput Appl Math 181 2 (2005) 245-251
    • (2005) J Comput Appl Math , vol.181 , Issue.2 , pp. 245-251
    • Abdou, M.A.1    Soliman, A.A.2
  • 10
    • 34748870677 scopus 로고    scopus 로고
    • Variational iteration method: new development and applications
    • He J.H., and Wu X.H. Variational iteration method: new development and applications. Int J Comput Math Appl 54 7-8 (2007) 881-894
    • (2007) Int J Comput Math Appl , vol.54 , Issue.7-8 , pp. 881-894
    • He, J.H.1    Wu, X.H.2
  • 11
    • 34250668369 scopus 로고    scopus 로고
    • Variational iteration method - some recent results and new interpretations
    • He J.H. Variational iteration method - some recent results and new interpretations. J Comput Appl Math 207 1 (2007) 3-17
    • (2007) J Comput Appl Math , vol.207 , Issue.1 , pp. 3-17
    • He, J.H.1
  • 12
    • 61749098900 scopus 로고    scopus 로고
    • Dynamics of the Hantavirus infection through variational iteration method
    • doi:10.1016/j.nonrwa.2008.03.025
    • Goh SM, Ismail AIM, Noorani MSM, Hashim I. Dynamics of the Hantavirus infection through variational iteration method. Non Anal Real World Appl doi:10.1016/j.nonrwa.2008.03.025.
    • Non Anal Real World Appl
    • Goh, S.M.1    Ismail, A.I.M.2    Noorani, M.S.M.3    Hashim, I.4
  • 13
    • 50349091556 scopus 로고    scopus 로고
    • Application of multistage homotopy-perturbation method for the solutions of the Chen system
    • 10.1016/j.nonrwa.2007.09.014
    • Chowdhury M.S.H., and Hashim I. Application of multistage homotopy-perturbation method for the solutions of the Chen system. Nonlinear Anal Real World Appl (2007) 10.1016/j.nonrwa.2007.09.014
    • (2007) Nonlinear Anal Real World Appl
    • Chowdhury, M.S.H.1    Hashim, I.2
  • 14
    • 63449140515 scopus 로고    scopus 로고
    • Construction of analytic solution to chaotic dynamical
    • Allan F.M. Construction of analytic solution to chaotic dynamical. Chaos, Solitons & Fractals 39 (2009) 1744-1752
    • (2009) Chaos, Solitons & Fractals , vol.39 , pp. 1744-1752
    • Allan, F.M.1
  • 15
    • 18844426016 scopus 로고    scopus 로고
    • Application of homotopy perturbation method to nonlinear wave equations
    • He J.H. Application of homotopy perturbation method to nonlinear wave equations. Chaos, Soliton & Fractals 26 3 (2005) 695-700
    • (2005) Chaos, Soliton & Fractals , vol.26 , Issue.3 , pp. 695-700
    • He, J.H.1
  • 16
    • 17844387391 scopus 로고    scopus 로고
    • Homotopy perturbation method for bifurcation of nonlinear problems
    • He J.H. Homotopy perturbation method for bifurcation of nonlinear problems. Int J Nonlinear Sci Numer Simul 6 2 (2005) 207-208
    • (2005) Int J Nonlinear Sci Numer Simul , vol.6 , Issue.2 , pp. 207-208
    • He, J.H.1
  • 18
    • 43049084448 scopus 로고    scopus 로고
    • On solving the Lorenz system by differential transformation method
    • Al-Sawalha M.M., and Noorani M.S.M. On solving the Lorenz system by differential transformation method. Chin Phys Lett 25 (2008) 1217-1219
    • (2008) Chin Phys Lett , vol.25 , pp. 1217-1219
    • Al-Sawalha, M.M.1    Noorani, M.S.M.2
  • 19
    • 77954588658 scopus 로고    scopus 로고
    • Application of the differential transformation method
    • 10.1016/j.cnsns.2008.02.002
    • Al-Sawalha M.M., and Noorani M.S.M. Application of the differential transformation method. Commun Nonlinear Sci Numer Simul (2008) 10.1016/j.cnsns.2008.02.002
    • (2008) Commun Nonlinear Sci Numer Simul
    • Al-Sawalha, M.M.1    Noorani, M.S.M.2
  • 20
    • 0037054950 scopus 로고    scopus 로고
    • Deifferent application for differential transformation in the differential equations
    • Abdel-Halim Hassan H.I. Deifferent application for differential transformation in the differential equations. Appl Math Comput 129 (2002) 183-201
    • (2002) Appl Math Comput , vol.129 , pp. 183-201
    • Abdel-Halim Hassan, H.I.1
  • 21
    • 0141961581 scopus 로고    scopus 로고
    • Solution of the system of differential equations by differential transform method
    • Ayaz F. Solution of the system of differential equations by differential transform method. Appl Math Comput 147 (2004) 547-567
    • (2004) Appl Math Comput , vol.147 , pp. 547-567
    • Ayaz, F.1
  • 23
    • 0141555679 scopus 로고    scopus 로고
    • Chaos control of Chen chaotic dynamical system
    • Yassen M.T. Chaos control of Chen chaotic dynamical system. Chaos, Solitons & Fractals 15 (2003) 271-283
    • (2003) Chaos, Solitons & Fractals , vol.15 , pp. 271-283
    • Yassen, M.T.1
  • 24
    • 22844452048 scopus 로고    scopus 로고
    • Chaos synchronization between two different chaotic dynamical systems
    • Park J.H. Chaos synchronization between two different chaotic dynamical systems. Chaos, Solitons & Fractals 27 (2006) 549-554
    • (2006) Chaos, Solitons & Fractals , vol.27 , pp. 549-554
    • Park, J.H.1
  • 25
    • 22844442545 scopus 로고    scopus 로고
    • Chaos synchronization of nonlinear Bloch equations
    • Park J.H. Chaos synchronization of nonlinear Bloch equations. Chaos, Solitons & Fractals 27 (2006) 357-361
    • (2006) Chaos, Solitons & Fractals , vol.27 , pp. 357-361
    • Park, J.H.1
  • 26
    • 0002261017 scopus 로고    scopus 로고
    • Application of differential transformation to eigenvalue problems
    • Chen C.K., and Ho S.H. Application of differential transformation to eigenvalue problems. Appl Math Comput 79 (1996) 173-188
    • (1996) Appl Math Comput , vol.79 , pp. 173-188
    • Chen, C.K.1    Ho, S.H.2
  • 27
    • 0012135963 scopus 로고    scopus 로고
    • Analysis of the response of a strongly nonlinear damped system using a differential transformation technique
    • Jang M.J., Chen C.L., and Liu Y.C. Analysis of the response of a strongly nonlinear damped system using a differential transformation technique. Appl Math Comput 88 (1997) 137-151
    • (1997) Appl Math Comput , vol.88 , pp. 137-151
    • Jang, M.J.1    Chen, C.L.2    Liu, Y.C.3
  • 28
    • 0032345440 scopus 로고    scopus 로고
    • Solution of two point boundary value problems using the differential transformation method
    • Chen C.L., and Liu Y.C. Solution of two point boundary value problems using the differential transformation method. J Opt Theory Appl 99 (1998) 23-35
    • (1998) J Opt Theory Appl , vol.99 , pp. 23-35
    • Chen, C.L.1    Liu, Y.C.2
  • 29
    • 0000443213 scopus 로고    scopus 로고
    • On solving the initial value problems using the differential transformation method
    • Jang M.J., Chen C.L., and Liu Y.C. On solving the initial value problems using the differential transformation method. Appl Math Comput 115 (2000) 145-160
    • (2000) Appl Math Comput , vol.115 , pp. 145-160
    • Jang, M.J.1    Chen, C.L.2    Liu, Y.C.3
  • 30
    • 0035877251 scopus 로고    scopus 로고
    • Two-dimensional differential transform for partial differential equations
    • Jang M.J., Chen C.L., and Liu Y.C. Two-dimensional differential transform for partial differential equations. Appl Math Comput 121 (2001) 261-270
    • (2001) Appl Math Comput , vol.121 , pp. 261-270
    • Jang, M.J.1    Chen, C.L.2    Liu, Y.C.3
  • 31
    • 13544264421 scopus 로고    scopus 로고
    • The solution of two-dimensional nonlinear differential equation by Adomian decomposition method
    • Bildik N., and Bayramoglu H. The solution of two-dimensional nonlinear differential equation by Adomian decomposition method. Appl Math Comput 163 (2005) 519-524
    • (2005) Appl Math Comput , vol.163 , pp. 519-524
    • Bildik, N.1    Bayramoglu, H.2
  • 32
    • 2942717177 scopus 로고    scopus 로고
    • Differential transformation technique for solving higher-order initial value problems
    • Abdel-Halim Hassan I.H. Differential transformation technique for solving higher-order initial value problems. Appl Math Comput 154 (2004) 299-311
    • (2004) Appl Math Comput , vol.154 , pp. 299-311
    • Abdel-Halim Hassan, I.H.1
  • 33
    • 37649020448 scopus 로고    scopus 로고
    • Solutions of non-linear oscillators by the modified differential transform method
    • Momani S., and Ertürk V.S. Solutions of non-linear oscillators by the modified differential transform method. Comput Math Appl 55 (2008) 833-842
    • (2008) Comput Math Appl , vol.55 , pp. 833-842
    • Momani, S.1    Ertürk, V.S.2
  • 34
    • 39149140685 scopus 로고    scopus 로고
    • Application of generalized differential transform method to multi-order fractional differential equation
    • Ertürk V.S., Momani S., and Odibat Z. Application of generalized differential transform method to multi-order fractional differential equation. Commun Nonlinear Sci Numer Simul 13 (2008) 1642-1654
    • (2008) Commun Nonlinear Sci Numer Simul , vol.13 , pp. 1642-1654
    • Ertürk, V.S.1    Momani, S.2    Odibat, Z.3
  • 35
    • 34547665163 scopus 로고    scopus 로고
    • Numerical comparison of methods for solving a special fourth-order boundary value problem
    • Momani S., and Noor M.A. Numerical comparison of methods for solving a special fourth-order boundary value problem. Appl Math Comput 191 (2007) 218-224
    • (2007) Appl Math Comput , vol.191 , pp. 218-224
    • Momani, S.1    Noor, M.A.2
  • 36
    • 34248188092 scopus 로고    scopus 로고
    • Comparing numerical methods for solving fourth-order boundary value problems
    • Ertürk V.S., and Momani S. Comparing numerical methods for solving fourth-order boundary value problems. Appl Math Comput 188 (2007) 1963-1968
    • (2007) Appl Math Comput , vol.188 , pp. 1963-1968
    • Ertürk, V.S.1    Momani, S.2
  • 37
    • 62249200922 scopus 로고    scopus 로고
    • Yet another chaotic attractor
    • Chen G., and Ueta T. Yet another chaotic attractor. Int J Bifurcat Chaos 9 7 (1999) 1465-1466
    • (1999) Int J Bifurcat Chaos , vol.9 , Issue.7 , pp. 1465-1466
    • Chen, G.1    Ueta, T.2
  • 38
    • 0034238522 scopus 로고    scopus 로고
    • Bifurcation analysis of Chen's equation
    • Ueta T., and Chen G. Bifurcation analysis of Chen's equation. Int J Bifurcat Chaos 8 (2000) 1917-1931
    • (2000) Int J Bifurcat Chaos , vol.8 , pp. 1917-1931
    • Ueta, T.1    Chen, G.2
  • 39
    • 21644443401 scopus 로고    scopus 로고
    • Synchronization of chaotic fractional Chen system
    • Deng W., and Li C. Synchronization of chaotic fractional Chen system. J Phys Soc Jap 74 (2005) 1645-1648
    • (2005) J Phys Soc Jap , vol.74 , pp. 1645-1648
    • Deng, W.1    Li, C.2
  • 40
    • 31144479550 scopus 로고    scopus 로고
    • Controllability and stability of the perturbed chen chaotic dynamical system
    • Plienpanich T., Niamsup P., and Lenbury Y. Controllability and stability of the perturbed chen chaotic dynamical system. Appl Math Comput 171 (2005) 927-947
    • (2005) Appl Math Comput , vol.171 , pp. 927-947
    • Plienpanich, T.1    Niamsup, P.2    Lenbury, Y.3


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