메뉴 건너뛰기




Volumn 81, Issue 4, 2010, Pages

Homotopy approach for the hyperchaotic Chen system

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL SOLUTIONS; FOURTH-ORDER; HOMOTOPY ANALYSIS METHODS; HOMOTOPY APPROACH; HYPERCHAOTIC CHEN SYSTEM; NUMERICAL RESULTS; RESIDUAL ERROR; RUNGE-KUTTA; TIME INTERVAL;

EID: 77950976377     PISSN: 00318949     EISSN: 14024896     Source Type: Journal    
DOI: 10.1088/0031-8949/81/04/045005     Document Type: Article
Times cited : (22)

References (21)
  • 2
    • 26044470874 scopus 로고    scopus 로고
    • Controlling hyperchaos in the new hyperchaotic Chen system
    • DOI 10.1016/j.amc.2004.10.016, PII S0096300304006988
    • Yan Z 2005 Controlling hyperchaos in the new hyperchaotic Chen system Appl. Math. Comput. 168 1239-50 (Pubitemid 41405675)
    • (2005) Applied Mathematics and Computation , vol.168 , Issue.2 , pp. 1239-1250
    • Yan, Z.1
  • 3
    • 34548586902 scopus 로고    scopus 로고
    • Hyperchaos synchronization and control on a new hyperchaotic attractor
    • DOI 10.1016/j.chaos.2006.05.027, PII S096007790600467X
    • Yan Z and Yu P 2008 Hyperchaos synchronization and control on a new hyperchaotic attractor Chaos Solitons Fractals 35 333-45 (Pubitemid 47391235)
    • (2008) Chaos, Solitons and Fractals , vol.35 , Issue.2 , pp. 333-345
    • Yan, Z.1    Yu, P.2
  • 4
    • 18844368833 scopus 로고    scopus 로고
    • Adaptive synchronization of hyperchaotic Chen system with uncertain parameters
    • DOI 10.1016/j.chaos.2005.02.002, PII S0960077905001736
    • Park J H 2005 Adaptive synchronization of hyperchaotic Chen system with uncertain parameters Chaos Solitons Fractals 26 959-64 (Pubitemid 40682527)
    • (2005) Chaos, Solitons and Fractals , vol.26 , Issue.3 , pp. 959-964
    • Park, J.H.1
  • 5
    • 54949109084 scopus 로고    scopus 로고
    • Numerical experiments on the hyperchaotic Chen system by the Adomian decomposition method
    • Al-sawalha M M and Noorani M S M 2008 Numerical experiments on the hyperchaotic Chen system by the Adomian decomposition method Int. J. Comput. Methods 5 403-12
    • (2008) Int. J. Comput. Methods , vol.5 , pp. 403-412
    • Al-Sawalha, M.M.1    Noorani, M.S.M.2
  • 7
    • 55549140509 scopus 로고    scopus 로고
    • Application of the differential transformation method for the solution of the hyperchaotic Rössler system
    • Al-sawalha M M and Noorani M S M 2009 Application of the differential transformation method for the solution of the hyperchaotic Rössler system Commun. Nonlinear Sci. Numer. Simul. 14 1509-14
    • (2009) Commun. Nonlinear Sci. Numer. Simul. , vol.14 , pp. 1509-1514
    • Al-Sawalha, M.M.1    Noorani, M.S.M.2
  • 10
    • 33845432502 scopus 로고    scopus 로고
    • On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder
    • DOI 10.1016/j.physleta.2006.09.060, PII S0375960106014861
    • Hayat T and Sajid M 2007 On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder Phys. Lett. A 361 3-22 (Pubitemid 44894740)
    • (2007) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.361 , Issue.4-5 , pp. 316-322
    • Hayat, T.1    Sajid, M.2
  • 11
    • 28144444967 scopus 로고    scopus 로고
    • Homotopy solutions for a generalized second-grade fluid past a porous plate
    • DOI 10.1007/s11071-005-7346-z
    • Hayat T and Khan M 2005 Homotopy solutions for a generalized second-grade fluid past a porous plate Nonlinear Dyn. 42 395-405 (Pubitemid 41697996)
    • (2005) Nonlinear Dynamics , vol.42 , Issue.4 , pp. 395-405
    • Hayat, T.1    Khan, M.2
  • 12
    • 34848880798 scopus 로고    scopus 로고
    • Homotopy analysis method for quadratic Riccati differential equation
    • DOI 10.1016/j.cnsns.2006.06.006, PII S1007570406001353
    • Tan Y and Abbasbandy S 2008 Homotopy analysis method for quadratic Riccati differential equation Commun. Nonlinear Sci. Numer. Simul. 13 539-46 (Pubitemid 47497345)
    • (2008) Communications in Nonlinear Science and Numerical Simulation , vol.13 , Issue.3 , pp. 539-546
    • Tan, Y.1    Abbasbandy, S.2
  • 13
    • 55549136027 scopus 로고    scopus 로고
    • Notes on the homotopy analysis method: Some definitions and theorems
    • Liao S J 2009 Notes on the homotopy analysis method: some definitions and theorems Commun. Nonlinear Sci. Numer. Simul. 14 983-97
    • (2009) Commun. Nonlinear Sci. Numer. Simul. , vol.14 , pp. 983-997
    • Liao, S.J.1
  • 14
    • 33845907123 scopus 로고    scopus 로고
    • The application of homotopy analysis method to solve a generalized Hirota-Satsuma-coupled KdV equation
    • Abbasbandy S 2007 The application of homotopy analysis method to solve a generalized Hirota-Satsuma-coupled KdV equation Phys. Lett. A 361 478-83
    • (2007) Phys. Lett. A , vol.361 , pp. 478-483
    • Abbasbandy, S.1
  • 15
    • 42749084915 scopus 로고    scopus 로고
    • Approximate analytical solutions of systems of PDEs by homotopy analysis method
    • Bataineh A S, Noorani M S M and Hashim I 2008 Approximate analytical solutions of systems of PDEs by homotopy analysis method Comput. Math. Appl. 55 2913-23
    • (2008) Comput. Math. Appl. , vol.55 , pp. 2913-2923
    • Bataineh, A.S.1    Noorani, M.S.M.2    Hashim, I.3
  • 16
    • 35448953657 scopus 로고    scopus 로고
    • MHD rotating flow of a viscous fluid over a shrinking surface
    • DOI 10.1007/s11071-007-9208-3
    • Sajid M, Javed T and Hayat T 2008 MHD rotating flow of a viscous fluid over a shrinking surface Nonlinear Dyn. 51 259-65 (Pubitemid 47632362)
    • (2008) Nonlinear Dynamics , vol.51 , Issue.1-2 , pp. 259-265
    • Sajid, M.1    Javed, T.2    Hayat, T.3
  • 17
    • 67349135328 scopus 로고    scopus 로고
    • On the homotopy analysis method for the exact solutions of Helmholtz equation
    • Alomari A K, Noorani M S M and Nazar R 2009 On the homotopy analysis method for the exact solutions of Helmholtz equation Chaos Solitons Fractals 41 1873-9
    • (2009) Chaos Solitons Fractals , vol.41 , pp. 1873-1879
    • Alomari, A.K.1    Noorani, M.S.M.2    Nazar, R.3
  • 18
    • 52049104657 scopus 로고    scopus 로고
    • Generalizing homotopy analysis method to solve Lotka-Volterra equation
    • Zou L, Zong Z and Dong G H 2008 Generalizing homotopy analysis method to solve Lotka-Volterra equation Comput. Math. Appl. 56 2289-93
    • (2008) Comput. Math. Appl. , vol.56 , pp. 2289-2293
    • Zou, L.1    Zong, Z.2    Dong, G.H.3
  • 19
    • 42649113047 scopus 로고    scopus 로고
    • Solutions of heat-like and wave-like equations with variable coefficients by means of the homotopy analysis method
    • Alomari A K, Noorani M S M and Nazar R 2008 Solutions of heat-like and wave-like equations with variable coefficients by means of the homotopy analysis method Chin. Phys. Lett. 25 589
    • (2008) Chin. Phys. Lett. , vol.25 , pp. 589
    • Alomari, A.K.1    Noorani, M.S.M.2    Nazar, R.3
  • 20
    • 70350378693 scopus 로고    scopus 로고
    • A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations
    • Odibat Z, Momani S and Xu H 2010 A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations Appl. Math. Model. 34 593-600
    • (2010) Appl. Math. Model. , vol.34 , pp. 593-600
    • Odibat, Z.1    Momani, S.2    Xu, H.3
  • 21
    • 56049110221 scopus 로고    scopus 로고
    • Adaptation of homotopy analysis method for the numeric-analytic solution of Chen system
    • Alomari A K, Noorani M S M and Nazar R 2009 Adaptation of homotopy analysis method for the numeric-analytic solution of Chen system Commun. Nonlinear Sci. Numer. Simul. 14 2336-46
    • (2009) Commun. Nonlinear Sci. Numer. Simul. , vol.14 , pp. 2336-2346
    • Alomari, A.K.1    Noorani, M.S.M.2    Nazar, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.