High order hamiltonian approach to nonlinear oscillators

S. Durmaz; S. Altay Demirbaǧ; M. O. Kaya

doi:10.1515/IJNSNS.2010.11.8.565

High order hamiltonian approach to nonlinear oscillators

S. Durmaz, S. Altay Demirbaǧ, M. O. Kaya

Araştırma sonucu: ???type-name??? › Makale › bilirkişi

15 Atıf (Scopus)

Özet

This paper suggests a high order Hamiltonian approach to nonlinear oscillators. Two examples are given to illustrate the effectiveness of the method. The maximum relative error of Duffing oscillator obtained by He's Hamiltonian approach is 2.22% ; while the present approach leads to 0.19% and 0.009% accuracy, respectively, for the second and third approximations.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	565-570
Sayfa sayısı	6
Dergi	International Journal of Nonlinear Sciences and Numerical Simulation
Hacim	11
Basın numarası	8
DOI'lar	https://doi.org/10.1515/IJNSNS.2010.11.8.565
Yayın durumu	Yayınlandı - Ağu 2010

Belgeye Erişim

10.1515/IJNSNS.2010.11.8.565

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "High order hamiltonian approach to nonlinear oscillators",

abstract = "This paper suggests a high order Hamiltonian approach to nonlinear oscillators. Two examples are given to illustrate the effectiveness of the method. The maximum relative error of Duffing oscillator obtained by He's Hamiltonian approach is 2.22% ; while the present approach leads to 0.19% and 0.009% accuracy, respectively, for the second and third approximations.",

keywords = "Duffing equation, Hamiltonian, High order hamiltonian approach, Nonlinear oscillator, Nonlinear oscillator with discontinuity",

author = "S. Durmaz and {Altay Demirbaǧ}, S. and Kaya, {M. O.}",

year = "2010",

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AU - Altay Demirbaǧ, S.

AU - Kaya, M. O.

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N2 - This paper suggests a high order Hamiltonian approach to nonlinear oscillators. Two examples are given to illustrate the effectiveness of the method. The maximum relative error of Duffing oscillator obtained by He's Hamiltonian approach is 2.22% ; while the present approach leads to 0.19% and 0.009% accuracy, respectively, for the second and third approximations.

AB - This paper suggests a high order Hamiltonian approach to nonlinear oscillators. Two examples are given to illustrate the effectiveness of the method. The maximum relative error of Duffing oscillator obtained by He's Hamiltonian approach is 2.22% ; while the present approach leads to 0.19% and 0.009% accuracy, respectively, for the second and third approximations.

KW - Duffing equation

KW - Hamiltonian

KW - High order hamiltonian approach

KW - Nonlinear oscillator

KW - Nonlinear oscillator with discontinuity

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U2 - 10.1515/IJNSNS.2010.11.8.565

DO - 10.1515/IJNSNS.2010.11.8.565

M3 - Article

AN - SCOPUS:78649523624

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VL - 11

SP - 565

EP - 570

JO - International Journal of Nonlinear Sciences and Numerical Simulation

JF - International Journal of Nonlinear Sciences and Numerical Simulation

IS - 8

ER -

High order hamiltonian approach to nonlinear oscillators

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

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