Homotopy perturbation method for strongly nonlinear oscillators

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Published in	Mathematics and computers in simulation Vol. 204; pp. 243 - 258
Main Authors	He, Ji-Huan, Jiao, Man-Li, Gepreel, Khaled A., Khan, Yasir
Format	Journal Article
Language	English
Published	01.02.2023
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Author	Khan, Yasir Jiao, Man-Li Gepreel, Khaled A. He, Ji-Huan
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Cites_doi	10.1177/1461348420914457 10.1016/j.matcom.2021.08.014 10.1177/14613484211059264 10.2298/TSCI200421016T 10.2298/TSCI2203427Z 10.1177/1461348419844145 10.1016/j.physleta.2007.02.049 10.1631/jzus.A0820651 10.1016/j.camwa.2009.03.050 10.1177/1461348418800554 10.1016/j.jelechem.2021.115388 10.1177/1461348420917565 10.1177/1461348419829372 10.1142/S0218348X22500463 10.1177/1461348418817868 10.1177/14613484211026407 10.1002/zamm.202100187 10.1142/S0218348X21500304 10.1177/14613484211051837 10.1016/j.matcom.2020.08.001 10.1177/1461348420984041 10.1177/1461348421992608 10.1177/1461348420972820 10.12677/JISP.2018.74023 10.1002/jmri.24709 10.1007/s42417-022-00446-7 10.1177/1461348420926331 10.1109/TSMC.2020.2997852 10.1142/S0218348X21502467 10.1177/1461348418817869 10.1007/s11071-016-2986-8 10.1109/ACCESS.2018.2843392 10.1155/2015/932905 10.1177/14613484211044613 10.1177/14613484221104647 10.2298/TSCI180108204F 10.1016/j.aej.2016.04.036 10.3390/axioms10030191 10.1177/1461348418816266 10.1177/1461348418821204
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References	Wu (10.1016/j.matcom.2022.08.005_b47) 2018; 7 He (10.1016/j.matcom.2022.08.005_b17) 2021; 895 Hu (10.1016/j.matcom.2022.08.005_b21) 2019 Ma (10.1016/j.matcom.2022.08.005_b29) 2022 Wang (10.1016/j.matcom.2022.08.005_b43) 2015; 41 Suleman (10.1016/j.matcom.2022.08.005_b35) 2015 He (10.1016/j.matcom.2022.08.005_b14) 2022; 41 Tian (10.1016/j.matcom.2022.08.005_b39) 2021; 25 Dan (10.1016/j.matcom.2022.08.005_b2) 2021; 25 He (10.1016/j.matcom.2022.08.005_b12) 2021; 10 Feng (10.1016/j.matcom.2022.08.005_b5) 2021; 40 Belendez (10.1016/j.matcom.2022.08.005_b1) 2016; 86 Filobello-Nino (10.1016/j.matcom.2022.08.005_b6) 2020; 24 Li (10.1016/j.matcom.2022.08.005_b24) 2019; 38 Wang (10.1016/j.matcom.2022.08.005_b40) 2009; 58 Liu (10.1016/j.matcom.2022.08.005_b27) 2021; 40 Razzak (10.1016/j.matcom.2022.08.005_b32) 2016; 55 Popov (10.1016/j.matcom.2022.08.005_b31) 2021; 19 Suleman (10.1016/j.matcom.2022.08.005_b34) 2019; 38 Wang (10.1016/j.matcom.2022.08.005_b42) 2007; 367 Ganji (10.1016/j.matcom.2022.08.005_b8) 2009; 10 Ghaleb (10.1016/j.matcom.2022.08.005_b9) 2021; 180 He (10.1016/j.matcom.2022.08.005_b16) 2022; 30 Wang (10.1016/j.matcom.2022.08.005_b46) 2020; 52 Han (10.1016/j.matcom.2022.08.005_b10) 2021; 29 He (10.1016/j.matcom.2022.08.005_b11) 2019; 38 Li (10.1016/j.matcom.2022.08.005_b25) 2019; 38 Wang (10.1016/j.matcom.2022.08.005_b41) 2021; 419 Hoang (10.1016/j.matcom.2022.08.005_b20) 2021; 19 Kuang (10.1016/j.matcom.2022.08.005_b23) 2019; 38 Zhang (10.1016/j.matcom.2022.08.005_b49) 2022; 41 Yu (10.1016/j.matcom.2022.08.005_b48) 2021 Tian (10.1016/j.matcom.2022.08.005_b37) 2021; 29 Zhang (10.1016/j.matcom.2022.08.005_b50) 2022; 26 Ganji (10.1016/j.matcom.2022.08.005_b7) 2012; 50 He (10.1016/j.matcom.2022.08.005_b19) 2022; 41 Wang (10.1016/j.matcom.2022.08.005_b45) 2021; 41 Shen (10.1016/j.matcom.2022.08.005_b33) 2021; 40 Nawaz (10.1016/j.matcom.2022.08.005_b30) 2019; 38 Tian (10.1016/j.matcom.2022.08.005_b38) 2021; 40 He (10.1016/j.matcom.2022.08.005_b13) 2022 He (10.1016/j.matcom.2022.08.005_b15) 2022; 20 Ma (10.1016/j.matcom.2022.08.005_b28) 2022 El-Dib (10.1016/j.matcom.2022.08.005_b3) 2021 Ji (10.1016/j.matcom.2022.08.005_b22) 2021; 40 Li (10.1016/j.matcom.2022.08.005_b26) 2022; 10 Wang (10.1016/j.matcom.2022.08.005_b44) 2018; 6 Zhou (10.1016/j.matcom.2022.08.005_b51) 2022; 192 He (10.1016/j.matcom.2022.08.005_b18) 2022; 20 Tao (10.1016/j.matcom.2022.08.005_b36) 2019; 38 Elias-Zuniga (10.1016/j.matcom.2022.08.005_b4) 2020; 39
References_xml	– volume: 40 start-page: 675 issue: 2 year: 2021 ident: 10.1016/j.matcom.2022.08.005_b22 article-title: Li-He’s modified homotopy perturbation method coupled with the energy method for the dropping shock response of a tangent nonlinear packaging system publication-title: J. Low Freq. Noise Vib. Act. doi: 10.1177/1461348420914457 – year: 2021 ident: 10.1016/j.matcom.2022.08.005_b48 article-title: Morphological feature visualization of Alzheimer’s disease via multidirectional perception GAN publication-title: IEEE Trans. Neural Netw. Learn. – volume: 19 start-page: 105 issue: 1 year: 2021 ident: 10.1016/j.matcom.2022.08.005_b31 article-title: Friction under large-amplitude normal oscillations publication-title: Facta Univ.-Ser. Mech. – volume: 192 start-page: 1 year: 2022 ident: 10.1016/j.matcom.2022.08.005_b51 article-title: Chaos of the Rayleigh-Duffing oscillator with a non-smooth periodic perturbation and harmonic excitation publication-title: Math. Comput. Simulation doi: 10.1016/j.matcom.2021.08.014 – volume: 41 start-page: 572 issue: 2 year: 2022 ident: 10.1016/j.matcom.2022.08.005_b14 article-title: A heuristic review on the homotopy perturbation method for non-conservative oscillators publication-title: J. Low Freq. Noise Vib. Act. doi: 10.1177/14613484211059264 – volume: 25 start-page: 1229 issue: 2 year: 2021 ident: 10.1016/j.matcom.2022.08.005_b39 article-title: Exact solutions of space–time fractional 2+1 dimensional breaking soliton equation publication-title: Therm. Sci. doi: 10.2298/TSCI200421016T – volume: 26 start-page: 2427 issue: 3B year: 2022 ident: 10.1016/j.matcom.2022.08.005_b50 article-title: Non-chaos-mediated mixed-mode oscillations in an extended Hindmarsh-Rose neuronal oscillator with time delay publication-title: Therm. Sci. doi: 10.2298/TSCI2203427Z – volume: 38 start-page: 1252 issue: 3–4 year: 2019 ident: 10.1016/j.matcom.2022.08.005_b11 article-title: The simpler, the better: Analytical methods for nonlinear oscillators and fractional oscillators publication-title: J. Low Freq. Noise Vib. Act. doi: 10.1177/1461348419844145 – volume: 367 start-page: 188 issue: 3 year: 2007 ident: 10.1016/j.matcom.2022.08.005_b42 article-title: Variational iteration method for solving integro-differential equations publication-title: Phys. Lett. A doi: 10.1016/j.physleta.2007.02.049 – volume: 419 issue: 17 year: 2021 ident: 10.1016/j.matcom.2022.08.005_b41 article-title: Generalized variational principle and periodic wave solution to the modified equal width-Burgers equation in nonlinear dispersion media publication-title: Phys. Lett. A – volume: 10 start-page: 1263 issue: 9 year: 2009 ident: 10.1016/j.matcom.2022.08.005_b8 article-title: Solution of nonlinear cubic-quintic Duffing oscillators using He’s Energy Balance Method publication-title: J. Zhejiang Univ.-Sci. A doi: 10.1631/jzus.A0820651 – volume: 58 start-page: 2452 issue: 11 year: 2009 ident: 10.1016/j.matcom.2022.08.005_b40 article-title: A variational approach to nonlinear two-point boundary value problems publication-title: Comput. Math. Appl. doi: 10.1016/j.camwa.2009.03.050 – volume: 38 start-page: 1399 year: 2019 ident: 10.1016/j.matcom.2022.08.005_b24 article-title: Homotopy perturbation method coupled with the enhanced perturbation method publication-title: J. Low Freq. Noise Vib. Act. doi: 10.1177/1461348418800554 – volume: 895 year: 2021 ident: 10.1016/j.matcom.2022.08.005_b17 article-title: Nonlinear instability of two streaming-superposed magnetic Reiner-Rivlin Fluids by He–Laplace method publication-title: J. Electroanal. Chem. doi: 10.1016/j.jelechem.2021.115388 – volume: 40 start-page: 683 issue: 2 year: 2021 ident: 10.1016/j.matcom.2022.08.005_b33 article-title: A periodic solution of the fractional Sine–Gordon equation arising in architectural engineering publication-title: J. Low Freq. Noise Vib. Act. doi: 10.1177/1461348420917565 – volume: 38 start-page: 1013 year: 2019 ident: 10.1016/j.matcom.2022.08.005_b30 article-title: An effective modification of He’s variational approach to a nonlinear oscillator publication-title: J. Low Freq. Noise Vib. Act. doi: 10.1177/1461348419829372 – volume: 30 issue: 3 year: 2022 ident: 10.1016/j.matcom.2022.08.005_b16 article-title: A modified frequency-amplitude formulation for fractal vibration systems publication-title: Fractals doi: 10.1142/S0218348X22500463 – volume: 38 start-page: 984 issue: 3–4 year: 2019 ident: 10.1016/j.matcom.2022.08.005_b36 article-title: Variational iteration method with matrix Lagrange multiplier for nonlinear oscillators publication-title: J. Low Freq. Noise Vib. Act. doi: 10.1177/1461348418817868 – volume: 41 start-page: 244 issue: 1 year: 2022 ident: 10.1016/j.matcom.2022.08.005_b19 article-title: Hybrid Rayleigh -Van der Pol-Duffing Oscillator (HRVD): Stability analysis and controller publication-title: J. Low Freq. Noise Vib. Act. doi: 10.1177/14613484211026407 – year: 2021 ident: 10.1016/j.matcom.2022.08.005_b3 article-title: The frequency estimation for non-conservative nonlinear oscillation publication-title: ZAMM-Z. Angew. Math. Mech. doi: 10.1002/zamm.202100187 – volume: 29 issue: 2 year: 2021 ident: 10.1016/j.matcom.2022.08.005_b37 article-title: Fractal N/MEMS: from pull-in instability to pull-in stability publication-title: Fractals doi: 10.1142/S0218348X21500304 – volume: 41 start-page: 160 issue: 1 year: 2022 ident: 10.1016/j.matcom.2022.08.005_b49 article-title: A fast estimation of the frequency property of the microelectromechanical system oscillator publication-title: J. Low Freq. Noise Vib. Act. doi: 10.1177/14613484211051837 – volume: 180 start-page: 129 year: 2021 ident: 10.1016/j.matcom.2022.08.005_b9 article-title: Analytic approximate solutions of the cubic-quintic Duffing-van der Pol equation with two-external periodic forcing terms: Stability analysis publication-title: Math. Comput. Simulation doi: 10.1016/j.matcom.2020.08.001 – volume: 40 start-page: 1380 issue: 3 year: 2021 ident: 10.1016/j.matcom.2022.08.005_b38 article-title: A fractal micro-electromechanical system and its pull-in stability publication-title: J. Low Freq. Noise Vib. Act. doi: 10.1177/1461348420984041 – volume: 40 start-page: 1671 issue: 4 year: 2021 ident: 10.1016/j.matcom.2022.08.005_b5 article-title: He’s frequency formula to fractal undamped Duffing equation publication-title: J. Low Freq. Noise Vib. Act. doi: 10.1177/1461348421992608 – year: 2022 ident: 10.1016/j.matcom.2022.08.005_b29 article-title: Simplified Hamiltonian-based frequency-amplitude formulation for nonlinear vibration system publication-title: Facta Univ.-Ser. Mech. – volume: 39 start-page: 1216 issue: 4 year: 2020 ident: 10.1016/j.matcom.2022.08.005_b4 article-title: He’s frequency-amplitude formulation for nonlinear oscillators using Jacobi elliptic functions publication-title: J. Low Freq. Noise Vib. Act. doi: 10.1177/1461348420972820 – volume: 7 start-page: 200 issue: 4 year: 2018 ident: 10.1016/j.matcom.2022.08.005_b47 article-title: 3D convolutional neural network for regional precipitation nowcasting publication-title: J. Image Signal Process. doi: 10.12677/JISP.2018.74023 – volume: 41 start-page: 1682 issue: 6 year: 2015 ident: 10.1016/j.matcom.2022.08.005_b43 article-title: Prediction of myelopathic level in cervical spondylotic myelopathy using diffusion tensor imaging publication-title: J. Magn. Reson. Imag. doi: 10.1002/jmri.24709 – volume: 10 start-page: 1291 issue: 4 year: 2022 ident: 10.1016/j.matcom.2022.08.005_b26 article-title: High accurate homo-heteroclinic solutions of certain strongly nonlinear oscillators based on generalized pade-lindstedt-poincare method publication-title: J. Vib. Eng. Technol. doi: 10.1007/s42417-022-00446-7 – volume: 25 start-page: 1261 issue: 2B year: 2021 ident: 10.1016/j.matcom.2022.08.005_b2 article-title: Using piecewise reproducing kernel method and Legendre polynomial for solving a class of the time variable fractional order advection-reaction–diffusion equation publication-title: Therm. Sci. – volume: 40 start-page: 672 issue: 2 year: 2021 ident: 10.1016/j.matcom.2022.08.005_b27 article-title: A short remark on He’s frequency formulation publication-title: J. Low Freq. Noise Vib. Act. doi: 10.1177/1461348420926331 – volume: 52 start-page: 426 issue: 1 year: 2020 ident: 10.1016/j.matcom.2022.08.005_b46 article-title: An ensemble-based densely-connected deep learning system for assessment of skeletal maturity publication-title: IEEE Trans. Syst. Man Cybern. A doi: 10.1109/TSMC.2020.2997852 – volume: 29 issue: 8 year: 2021 ident: 10.1016/j.matcom.2022.08.005_b10 article-title: Numerical solutions of space fractional variable-coefficient KdV-modified KdV equation by Fourier spectral method publication-title: Fractals doi: 10.1142/S0218348X21502467 – start-page: 1 year: 2022 ident: 10.1016/j.matcom.2022.08.005_b13 article-title: Controlling the kinematics of a spring-pendulum system using an energy harvesting device publication-title: J. Low Freq. Noise Vib. Act. – volume: 38 start-page: 1305 issue: 3–4 year: 2019 ident: 10.1016/j.matcom.2022.08.005_b25 article-title: He–Laplace method for nonlinear vibration in shallow water waves publication-title: J. Low Freq. Noise Vib. Act. doi: 10.1177/1461348418817869 – start-page: 1 year: 2019 ident: 10.1016/j.matcom.2022.08.005_b21 article-title: Cross-modality synthesis from MRI to PET using adversarial U-net with different normalization – volume: 86 start-page: 1687 issue: 3 year: 2016 ident: 10.1016/j.matcom.2022.08.005_b1 article-title: Exact solution for the unforced Duffing oscillator with cubic and quintic nonlinearities publication-title: Nonlinear Dynam. doi: 10.1007/s11071-016-2986-8 – volume: 6 start-page: 29979 year: 2018 ident: 10.1016/j.matcom.2022.08.005_b44 article-title: Skeletal maturity recognition using a fully automated system with convolutional neural networks publication-title: IEEE Access doi: 10.1109/ACCESS.2018.2843392 – year: 2015 ident: 10.1016/j.matcom.2022.08.005_b35 article-title: Comparative solution of nonlinear quintic cubic oscillator using modified homotopy perturbation method publication-title: Adv. Math. Phys. doi: 10.1155/2015/932905 – volume: 19 start-page: 285 issue: 2 year: 2021 ident: 10.1016/j.matcom.2022.08.005_b20 article-title: A new C0 third-order shear deformation theory for the nonlinear free vibration analysis of stiffened functionally graded plates publication-title: Facta Univ.-Ser. Mech. – volume: 20 start-page: 1 issue: 1 year: 2022 ident: 10.1016/j.matcom.2022.08.005_b18 article-title: Forced nonlinear oscillator in a fractal space publication-title: Facta Univ.-Ser. Mech. – volume: 41 start-page: 216 issue: 1 year: 2021 ident: 10.1016/j.matcom.2022.08.005_b45 article-title: Gamma function method for the nonlinear cubic-quintic Duffing oscillators publication-title: J. Low Freq. Noise Vib. Act. doi: 10.1177/14613484211044613 – volume: 20 start-page: 211 issue: 2 year: 2022 ident: 10.1016/j.matcom.2022.08.005_b15 article-title: The carbon nanotube-embedded boundary layer theory for energy harvesting publication-title: Facta Univ. Ser.: Mech. Eng. – year: 2022 ident: 10.1016/j.matcom.2022.08.005_b28 article-title: Fractal variational principle for an optimal control problem publication-title: J. Low Freq. Noise Vib. Act. doi: 10.1177/14613484221104647 – volume: 24 start-page: 1105 issue: 2 year: 2020 ident: 10.1016/j.matcom.2022.08.005_b6 article-title: The study of heat transfer phenomena by using modified homotopy perturbation method coupled by Laplace transform publication-title: Therm. Sci. doi: 10.2298/TSCI180108204F – volume: 55 start-page: 2959 issue: 3 year: 2016 ident: 10.1016/j.matcom.2022.08.005_b32 article-title: An analytical approximate technique for solving cubic-quintic Duffing oscillator publication-title: Alex. Eng. J. doi: 10.1016/j.aej.2016.04.036 – volume: 50 start-page: 215 issue: 1 year: 2012 ident: 10.1016/j.matcom.2022.08.005_b7 article-title: Motion of a rigid rod rocking back and forth and cubic-quitic Duffing oscillators publication-title: J. Theor. Appl. Mech.-Pol. – volume: 10 start-page: 191 issue: 3 year: 2021 ident: 10.1016/j.matcom.2022.08.005_b12 article-title: Periodic property and instability of a rotating pendulum system publication-title: Axioms doi: 10.3390/axioms10030191 – volume: 38 start-page: 1297 issue: 3–4 year: 2019 ident: 10.1016/j.matcom.2022.08.005_b34 article-title: He–Laplace method for general nonlinear periodic solitary solution of vibration equations publication-title: J. Low Freq. Noise Vib. Act. doi: 10.1177/1461348418816266 – volume: 38 start-page: 1075 issue: 3–4 year: 2019 ident: 10.1016/j.matcom.2022.08.005_b23 article-title: Homotopy perturbation method with an auxiliary term for the optimal design of a tangent nonlinear packaging system publication-title: J. Low Freq. Noise Vib. Act. doi: 10.1177/1461348418821204
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