-
3
-
-
0002734020
-
A review on some new recently developed nonlinear analytical techniques
-
J. H. He, "A review on some new recently developed nonlinear analytical techniques", Int. J. Non-linear Sci. Numer. Simulation 1, 51-70 (2000).
-
(2000)
Int. J. Non-linear Sci. Numer. Simulation
, vol.1
, pp. 51-70
-
-
He, J.H.1
-
4
-
-
36248938787
-
-
J. H. He, Non-perturbative methods for strongly nonlinear problems (dissertation.de-Verlag im Internet GmbH, Berlin 2006).
-
J. H. He, Non-perturbative methods for strongly nonlinear problems (dissertation.de-Verlag im Internet GmbH, Berlin 2006).
-
-
-
-
6
-
-
0033742886
-
A new perturbation technique which is also valid for large parameters
-
J. H. He, "A new perturbation technique which is also valid for large parameters", J. Sound Vib. 229, 1257-1263 (2000).
-
(2000)
J. Sound Vib
, vol.229
, pp. 1257-1263
-
-
He, J.H.1
-
7
-
-
0035603591
-
Modified Lindstedt-Poincare methods for some non-linear oscillations. Part III: Double series expansion
-
J. H. He, "Modified Lindstedt-Poincare methods for some non-linear oscillations. Part III: double series expansion", Int. J. Non-linear Sci. Numer. Simulation 2, 317-320 (2001).
-
(2001)
Int. J. Non-linear Sci. Numer. Simulation
, vol.2
, pp. 317-320
-
-
He, J.H.1
-
8
-
-
0036489498
-
Modified Lindstedt-Poincare methods for some non-linear oscillations. Part I: Expansion of a constant
-
J. H. He, "Modified Lindstedt-Poincare methods for some non-linear oscillations. Part I: expansion of a constant", Int. J. Non-linear Mech. 37, 309-314 (2002).
-
(2002)
Int. J. Non-linear Mech
, vol.37
, pp. 309-314
-
-
He, J.H.1
-
9
-
-
0036489502
-
Modified Lindstedt-Poincare methods for some non-linear oscillations. Part II: A new transformation
-
J. H. He, "Modified Lindstedt-Poincare methods for some non-linear oscillations. Part II: a new transformation", Int. J. Non-linear Mech. 37, 315-320 (2002).
-
(2002)
Int. J. Non-linear Mech
, vol.37
, pp. 315-320
-
-
He, J.H.1
-
10
-
-
15944389556
-
Improved Lindstedt-Poincaré method for the solution of nonlinear problems
-
P. Amore and A. Aranda, "Improved Lindstedt-Poincaré method for the solution of nonlinear problems", J. Sound. Vib. 283, 1115-1136 (2005).
-
(2005)
J. Sound. Vib
, vol.283
, pp. 1115-1136
-
-
Amore, P.1
Aranda, A.2
-
11
-
-
19944416559
-
Exact and approximate expressions for the period of anharmonic oscillators
-
P. Amore and F. M. Fernández, "Exact and approximate expressions for the period of anharmonic oscillators", Eur. J. Phys. 26, 589-601 (2005).
-
(2005)
Eur. J. Phys
, vol.26
, pp. 589-601
-
-
Amore, P.1
Fernández, F.M.2
-
12
-
-
17844387391
-
Homotopy perturbation method for bifurcation on nonlinear problems
-
J. H. He, "Homotopy perturbation method for bifurcation on nonlinear problems", Int. J. Non-linear Sci. Numer. Simulation 6, 207-208 (2005).
-
(2005)
Int. J. Non-linear Sci. Numer. Simulation
, vol.6
, pp. 207-208
-
-
He, J.H.1
-
13
-
-
27744453171
-
Alternative perturbation approaches in classical mechanics
-
P. Amore, A. Raya and F. M. Fernández, "Alternative perturbation approaches in classical mechanics", Eur. J. Phys. 26, 1057-1063 (2005).
-
(2005)
Eur. J. Phys
, vol.26
, pp. 1057-1063
-
-
Amore, P.1
Raya, A.2
Fernández, F.M.3
-
14
-
-
19444376778
-
Comparison of alternative improved perturbative methods for nonlinear oscillations
-
P. Amore. A. Raya and F. M. Fernández, "Comparison of alternative improved perturbative methods for nonlinear oscillations", Phys. Lett. A 340, 201-208 (2005).
-
(2005)
Phys. Lett. A
, vol.340
, pp. 201-208
-
-
Amore, P.1
Raya, A.2
Fernández, F.M.3
-
15
-
-
0001204237
-
Comments on the method of harmonic-balance
-
R. E. Mickens, "Comments on the method of harmonic-balance", J. Sound. Vib. 94, 456-460 (1984).
-
(1984)
J. Sound. Vib
, vol.94
, pp. 456-460
-
-
Mickens, R.E.1
-
16
-
-
0035850154
-
Mathematical and numerical study of the Duffing-harmonic oscillator
-
R. E. Mickens, "Mathematical and numerical study of the Duffing-harmonic oscillator", J. Sound Vib. 244, 563-567 (2001).
-
(2001)
J. Sound Vib
, vol.244
, pp. 563-567
-
-
Mickens, R.E.1
-
17
-
-
33746283765
-
Harmonic balance approach to limit cycles for nonlinear jerk equations
-
H. P. W. Gottlieb, "Harmonic balance approach to limit cycles for nonlinear jerk equations", J. Sound Vib. 297, 243-250 (2006).
-
(2006)
J. Sound Vib
, vol.297
, pp. 243-250
-
-
Gottlieb, H.P.W.1
-
18
-
-
33745979117
-
Higher accuracy analytical approximations to the Duffing-harmonic oscillator
-
C. W. Lim, B. S. Wu and W. P. Sun, "Higher accuracy analytical approximations to the Duffing-harmonic oscillator", J. Sound Vib. 296, 1039-1045 (2006).
-
(2006)
J. Sound Vib
, vol.296
, pp. 1039-1045
-
-
Lim, C.W.1
Wu, B.S.2
Sun, W.P.3
-
19
-
-
33646362797
-
Analytical approximations for the period of a simple pendulum
-
A. Beléndez, A. Hernández, A. Márquez, T. Beléndez and C. Neipp, "Analytical approximations for the period of a simple pendulum", Eur. J. Phys. 27, 539-551 (2006).
-
(2006)
Eur. J. Phys
, vol.27
, pp. 539-551
-
-
Beléndez, A.1
Hernández, A.2
Márquez, A.3
Beléndez, T.4
Neipp, C.5
-
20
-
-
33646528864
-
Solution of a Duffing-harmonic oscillator by the method of harmonic balance
-
H. Hu and J. H. Tang, "Solution of a Duffing-harmonic oscillator by the method of harmonic balance", J. Sound Vib. 294, 637-639 (2006).
-
(2006)
J. Sound Vib
, vol.294
, pp. 637-639
-
-
Hu, H.1
Tang, J.H.2
-
21
-
-
33644954455
-
Solution of a quadratic nonlinear oscillator by the method of harmonic balance
-
H. Hu, "Solution of a quadratic nonlinear oscillator by the method of harmonic balance", J. Sound Vib. 293, 462-468 (2006).
-
(2006)
J. Sound Vib
, vol.293
, pp. 462-468
-
-
Hu, H.1
-
22
-
-
23144432847
-
On period doubling bifurcations of cycles and the harmonic balance method
-
G. R. Itovich and J. L. Moiola, "On period doubling bifurcations of cycles and the harmonic balance method", Chaos, Solitons & Fractals 27, 647-665 (2005).
-
(2005)
Chaos, Solitons & Fractals
, vol.27
, pp. 647-665
-
-
Itovich, G.R.1
Moiola, J.L.2
-
23
-
-
33947270453
-
Application of the harmonic balance method to a nonlinear oscillator typified by a mass attached to a stretched wire
-
A. Beléndez, A. Hernández, T. Beléndez, M. L. Álvarez, S. Gallego, M. Ortuño and C. Neipp, "Application of the harmonic balance method to a nonlinear oscillator typified by a mass attached to a stretched wire", J. Sound Vib. 302, 1018-1029 (2007).
-
(2007)
J. Sound Vib
, vol.302
, pp. 1018-1029
-
-
Beléndez, A.1
Hernández, A.2
Beléndez, T.3
Álvarez, M.L.4
Gallego, S.5
Ortuño, M.6
Neipp, C.7
-
24
-
-
33645972898
-
Some asymptotic methods for strongly nonlinear equations
-
J. H. He, "Some asymptotic methods for strongly nonlinear equations", Int. J. Mod. Phys. B, 20, 1141-1199 (2006).
-
(2006)
Int. J. Mod. Phys. B
, vol.20
, pp. 1141-1199
-
-
He, J.H.1
-
25
-
-
21344493527
-
Relativistic (an)harmonic oscillator
-
W. Moreau, R. Easther and R. Neutze, "Relativistic (an)harmonic oscillator", Am. J. Phys. 62, 531-535 (1994).
-
(1994)
Am. J. Phys
, vol.62
, pp. 531-535
-
-
Moreau, W.1
Easther, R.2
Neutze, R.3
-
26
-
-
0003284838
-
-
edited by S. Flügge Springer, Berlin
-
J. L. Synge, Classical Dynamics in Encyclopeadia of Physics, edited by S. Flügge (Springer, Berlin, 1960), Vol. III/1, pp. 210-211.
-
(1960)
Classical Dynamics in Encyclopeadia of Physics
, vol.III 1
, pp. 210-211
-
-
Synge, J.L.1
-
28
-
-
33746584753
-
New interpretation of homotopy perturbation method
-
J. H. He, "New interpretation of homotopy perturbation method", Int. J. Mod. Phys. B, 20, 2561-2568 (2006).
-
(2006)
Int. J. Mod. Phys. B
, vol.20
, pp. 2561-2568
-
-
He, J.H.1
-
29
-
-
1242287587
-
The homotopy perturbation method for nonlinear oscillators with discontinuities
-
J. H. He, "The homotopy perturbation method for nonlinear oscillators with discontinuities", Appl. Math. Comp. 151, 287-292 (2004).
-
(2004)
Appl. Math. Comp
, vol.151
, pp. 287-292
-
-
He, J.H.1
-
30
-
-
32644482553
-
Approximate period solution for a kind of nonlinear oscillator by He's perturbation method
-
X. C. Cai, W. Y. Wu and M. S. Li, "Approximate period solution for a kind of nonlinear oscillator by He's perturbation method", Int. J. Non-linear Sci. Numer. Simulation 7 (1), 109-117 (2006).
-
(2006)
Int. J. Non-linear Sci. Numer. Simulation
, vol.7
, Issue.1
, pp. 109-117
-
-
Cai, X.C.1
Wu, W.Y.2
Li, M.S.3
-
31
-
-
33745852188
-
Homotopy-perturbation for pure nonlinear differential equation
-
L. Cveticanin, "Homotopy-perturbation for pure nonlinear differential equation", Chaos, Solitons & Fractals 30, 1221-1230 (2006).
-
(2006)
Chaos, Solitons & Fractals
, vol.30
, pp. 1221-1230
-
-
Cveticanin, L.1
-
32
-
-
36248974823
-
Application of He's homotopy perturbation method to conservative truly nonlinear oscillators
-
doi:10.1016/j.chaos.2006.09. 070
-
A. Beléndez, T. Beléndez, A. Márquez and C. Neipp, "Application of He's homotopy perturbation method to conservative truly nonlinear oscillators", Chaos, Solitons & Fractals (2006), doi:10.1016/j.chaos.2006.09. 070.
-
(2006)
Chaos, Solitons & Fractals
-
-
Beléndez, A.1
Beléndez, T.2
Márquez, A.3
Neipp, C.4
-
33
-
-
34249996463
-
Application of parameter-expanding method to strongly nonlinear oscillators
-
D. H. Shou and J. H. He, "Application of parameter-expanding method to strongly nonlinear oscillators", Int. J. Non-linear Sci. Numer. Simulation 8 (1), 121-124 (2007).
-
(2007)
Int. J. Non-linear Sci. Numer. Simulation
, vol.8
, Issue.1
, pp. 121-124
-
-
Shou, D.H.1
He, J.H.2
-
34
-
-
34249898148
-
Application of He's homotopy perturbation method to the Duffing-harmonic oscillator
-
A. Beléndez, A. Hernández, T. Beléndez, E. Fernández, M. L. Alvarez and C. Neipp, "Application of He's homotopy perturbation method to the Duffing-harmonic oscillator", Int. J. Non-linear Sci. Numer. Simulation 8 (1), 79-88 (2007).
-
(2007)
Int. J. Non-linear Sci. Numer. Simulation
, vol.8
, Issue.1
, pp. 79-88
-
-
Beléndez, A.1
Hernández, A.2
Beléndez, T.3
Fernández, E.4
Alvarez, M.L.5
Neipp, C.6
-
35
-
-
34247260021
-
Application of the homotopy perturbation method to the nonlinear pendulum
-
A. Beléndez, A. Hernández, T. Beléndez, C. Neipp and A. Márquez, "Application of the homotopy perturbation method to the nonlinear pendulum", Eur. J. Phys. 28, 93-104 (2007).
-
(2007)
Eur. J. Phys
, vol.28
, pp. 93-104
-
-
Beléndez, A.1
Hernández, A.2
Beléndez, T.3
Neipp, C.4
Márquez, A.5
-
36
-
-
33745835072
-
Application of He's homotopy perturbation method for Laplace transform
-
S. Abbasbandy, "Application of He's homotopy perturbation method for Laplace transform", Chaos, Solitons & Fractals 30, 1206-1212 (2006).
-
(2006)
Chaos, Solitons & Fractals
, vol.30
, pp. 1206-1212
-
-
Abbasbandy, S.1
-
37
-
-
33748919061
-
Application of He's homotopy-perturbation method to nonlinear coupled systems of reaction-diffusion equations
-
D. D. Ganji and A. Sadighi, "Application of He's homotopy-perturbation method to nonlinear coupled systems of reaction-diffusion equations", Int. J. Non-linear Sci. Numer. Simulation 7 (4), 411-418 (2006).
-
(2006)
Int. J. Non-linear Sci. Numer. Simulation
, vol.7
, Issue.4
, pp. 411-418
-
-
Ganji, D.D.1
Sadighi, A.2
-
38
-
-
32644456286
-
Thin film flow of a third grade fluid on moving a belt by He's homotopy perturbation method
-
A. Siddiqui, R. Mahmood and Q. Ghori, "Thin film flow of a third grade fluid on moving a belt by He's homotopy perturbation method", Int. J. Non-linear Sci. Numer. Simulation 7 (1), 15-26 (2006).
-
(2006)
Int. J. Non-linear Sci. Numer. Simulation
, vol.7
, Issue.1
, pp. 15-26
-
-
Siddiqui, A.1
Mahmood, R.2
Ghori, Q.3
-
39
-
-
30644460357
-
Homotopy perturbation method for solving boundary value problems
-
J. H. He, "Homotopy perturbation method for solving boundary value problems", Phys. Lett. A 350, 87-88 (2006).
-
(2006)
Phys. Lett. A
, vol.350
, pp. 87-88
-
-
He, J.H.1
-
40
-
-
33745965279
-
Explicit solutions of Helmhotlz equation and fifth-order KdV equation using homotopy perturbation method
-
M. Rafei and D. D. Ganji, "Explicit solutions of Helmhotlz equation and fifth-order KdV equation using homotopy perturbation method", Int. J. Non-linear Sci. Numer. Simulation 7 (3), 321-328 (2006).
-
(2006)
Int. J. Non-linear Sci. Numer. Simulation
, vol.7
, Issue.3
, pp. 321-328
-
-
Rafei, M.1
Ganji, D.D.2
-
41
-
-
33748924289
-
Homotopy perturbation method and axisymmetric flow over a stretching sheet
-
P. D. Ariel and T. Hayat, "Homotopy perturbation method and axisymmetric flow over a stretching sheet", Int. J. Non-linear Sci. Numer. Simulation 7 (4), 399-406 (2006).
-
(2006)
Int. J. Non-linear Sci. Numer. Simulation
, vol.7
, Issue.4
, pp. 399-406
-
-
Ariel, P.D.1
Hayat, T.2
-
42
-
-
0001558206
-
Periodic solutions of the relativistic harmonic oscillator
-
R. E. Mickens, "Periodic solutions of the relativistic harmonic oscillator", J. Sound Vib. 212, 905-908 (1998).
-
(1998)
J. Sound Vib
, vol.212
, pp. 905-908
-
-
Mickens, R.E.1
-
43
-
-
0002836350
-
Elliptic integrals
-
M. Abramowitz and I. A. Stegun Eds, Dover Publications, Inc, New York
-
L. M. Milne-Thomson, "Elliptic integrals" in M. Abramowitz and I. A. Stegun (Eds.), Handbook of Mathematical Functions (Dover Publications, Inc., New York, 1972).
-
(1972)
Handbook of Mathematical Functions
-
-
Milne-Thomson, L.M.1
|