A New Approach of Mickens’ Extended Iteration Method for Solving Some Nonlinear Jerk Equations

References (25)

1. 1 Perturbation Methods [DOI]
2. 2 An equation for continuous chaos [DOI]
3. 3 Simplest dissipative chaotic flow [DOI]
4. 4 Jerk: The time rate of change of acceleration [DOI]
5. 5 Comments on the method of harmonic balance [DOI]
6. 6 Nonlinear dynamical models and jerky motion [DOI]
7. 7 Question ♯38. What is the simplest jerk function that gives chaos? [DOI]
8. 8 Iteration procedure for determining approximate solutions to non-linear oscillator equations [DOI]
9. 9 Application of a modified He’s homotopy perturbation method to obtain higher-order approximations to a nonlinear oscillator with discontinuities [DOI]
10. 10 Harmonic balance approach to periodic solutions of non-linear jerk equations [DOI]
11. 11 He's homotopy perturbation method to periodic solutions of nonlinear Jerk equations [DOI]
12. 12 Residue harmonic balance approach to limit cycles of non-linear jerk equations [DOI]
13. 13 Harmonic balance approach to limit cycles for nonlinear jerk equations [DOI]
14. 14 Improved harmonic balance approach to periodic solutions of non-linear jerk equations [DOI]
15. 15 Perturbation method for periodic solutions of nonlinear jerk equations [DOI]
16. 16 All Shook Up [DOI]
17. 17 Analytical and approximate solutions to autonomous, nonlinear, third-order ordinary differential equations [DOI]
18. 18 Modified solutions of some oscillators by iteration procedure [DOI]
19. 19 Iteration calculations of periodic solutions to nonlinear jerk equations [DOI]
20. 20 A dynamical instability as a driving mechanism for stellar oscillations
21. 21 Approximate methods based on order reduction for the periodic solutions of nonlinear third-order ordinary differential equations [DOI]
22. 22 On the study of a third-order mechanical oscillator [DOI]
23. 23 A Volterra integral formulation for determining the periodic solutions of some autonomous, nonlinear, third-order ordinary differential equations [DOI]
24. 24 Chaos in a finite macroscopic system [DOI]
25. 25 Book Reviews : Nonlinear Oscillations: A.H. Nayfeh and D.T. Mook John Wiley & Sons, New York, New York 1979, $38.50 [DOI]

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