-
3
-
-
0002132365
-
On the stability of the solution of Mathieu's equation
-
Van der Pol B., Strutt M.J.O. On the stability of the solution of Mathieu's equation. Philos. Mag. 5:1928;18.
-
(1928)
Philos. Mag.
, vol.5
, pp. 18
-
-
Van der Pol, B.1
Strutt, M.J.O.2
-
4
-
-
84968513654
-
The tabulation of Mathieu equations
-
Bickley W.G. The tabulation of Mathieu equations. Math. Tables Other Aids to Comput. 1(11):1945;409-419.
-
(1945)
Math. Tables Other Aids to Comput.
, vol.1
, Issue.11
, pp. 409-419
-
-
Bickley, W.G.1
-
6
-
-
1442310236
-
On the solutions of certain types of linear differential equations with periodic coefficients
-
Moulton F.R., MacMillan W.D. On the solutions of certain types of linear differential equations with periodic coefficients. Amer. J. Math. 33(10):1911;65-96.
-
(1911)
Amer. J. Math.
, vol.33
, Issue.10
, pp. 65-96
-
-
Moulton, F.R.1
Macmillan, W.D.2
-
7
-
-
0001215760
-
On the Nonlinear vibration problem of the elastic string
-
Carrier G.F. On the Nonlinear vibration problem of the elastic string. Quart. Appl. Math. 3(2):1945;157-165.
-
(1945)
Quart. Appl. Math.
, vol.3
, Issue.2
, pp. 157-165
-
-
Carrier, G.F.1
-
8
-
-
0003951930
-
-
Dover Publications, New York (Macmillan Company, 1894)
-
J.W.S. Rayleigh, The Theory of Sound, Vol. 1, Dover Publications, New York, 1945 (Macmillan Company, 1894).
-
(1945)
The Theory of Sound
, vol.1
-
-
Rayleigh, J.W.S.1
-
11
-
-
0000449880
-
On a particular class of acoustical figures; and on certain forms assumed by a group of particles upon vibrating elastic surfaces
-
Faraday M. On a particular class of acoustical figures; and on certain forms assumed by a group of particles upon vibrating elastic surfaces. Philos. Trans. R. Soc. London. 121:1831;299-318.
-
(1831)
Philos. Trans. R. Soc. London
, vol.121
, pp. 299-318
-
-
Faraday, M.1
-
12
-
-
0001725707
-
On the parametric response of structures
-
Iwanowski E.R.M. On the parametric response of structures. Appl. Mech. Rev. 18(9):1965;699-702.
-
(1965)
Appl. Mech. Rev.
, vol.18
, Issue.9
, pp. 699-702
-
-
Iwanowski, E.R.M.1
-
14
-
-
0001225172
-
Memoire sur le mouvement vibratoire d'une membrane de forme elliptique
-
Mathieu E. Memoire sur le mouvement vibratoire d'une membrane de forme elliptique. J. Math. Pure Appl. 13:1868;137.
-
(1868)
J. Math. Pure Appl.
, vol.13
, pp. 137
-
-
Mathieu, E.1
-
15
-
-
34250607598
-
On the part of the moon's motion which is a function of the mean motions of the sun and the moon
-
Hill G.W. On the part of the moon's motion which is a function of the mean motions of the sun and the moon. Acta Math. 8:1886;1-36.
-
(1886)
Acta Math.
, vol.8
, pp. 1-36
-
-
Hill, G.W.1
-
16
-
-
0002270451
-
On the crispations of fluid resting upon a vibrating support
-
J.W. Strutt, (Lord Rayleigh), On the crispations of fluid resting upon a vibrating support, Philos. Mat. 16 (1883) 50-53.
-
(1883)
Philos. Mat.
, vol.16
, pp. 50-53
-
-
Strutt, J.W.1
-
18
-
-
1442359064
-
Survey of work on the dynamic stability of elastic systems
-
Beilin E.A., Dzhanelidze G.H. Survey of work on the dynamic stability of elastic systems. Prikl. Math. I Mekh. 16(5):1952;635-648.
-
(1952)
Prikl. Math. I Mekh.
, vol.16
, Issue.5
, pp. 635-648
-
-
Beilin, E.A.1
Dzhanelidze, G.H.2
-
19
-
-
85003265852
-
Dynamic stability of cylindrical shells under static and periodic axial and radial loads
-
Yao J.C. Dynamic stability of cylindrical shells under static and periodic axial and radial loads. AIAA J. 1(6):1963;1391-1396.
-
(1963)
AIAA J.
, vol.1
, Issue.6
, pp. 1391-1396
-
-
Yao, J.C.1
-
21
-
-
0037574634
-
Periodic behaviour of a cantilever with end mass subjected to harmonic base excitation
-
Esmailzadeh E., Nakhaie Jazar G. Periodic behaviour of a cantilever with end mass subjected to harmonic base excitation. Internat. J. Nonlinear Mech. 33(4):1998;567-577.
-
(1998)
Internat. J. Nonlinear Mech.
, vol.33
, Issue.4
, pp. 567-577
-
-
Esmailzadeh, E.1
Nakhaie Jazar, G.2
-
22
-
-
0035969449
-
Chaotic motion in the generic separatrix band of a Mathieu-Duffing oscillator with a twin-well potential
-
Luo A.C.J. Chaotic motion in the generic separatrix band of a Mathieu-Duffing oscillator with a twin-well potential. J. Sound Vib. 248(3):2001;521-532.
-
(2001)
J. Sound Vib.
, vol.248
, Issue.3
, pp. 521-532
-
-
Luo, A.C.J.1
-
23
-
-
0035791279
-
Global behaviour of a nonlinear quasiperiodic Mathieu equation, Proceedings of DETC01
-
Pittsburgh, PA, September
-
R.S. Zounes, R.H. Rand, Global behaviour of a nonlinear quasiperiodic Mathieu equation, Proceedings of DETC01, ASME 2001 Design Engineering Technical Conference, Pittsburgh, PA, September 2001, pp. 1-11.
-
(2001)
ASME 2001 Design Engineering Technical Conference
, pp. 1-11
-
-
Zounes, R.S.1
Rand, R.H.2
-
24
-
-
84952272670
-
The solution of the Mathieu equation with a complex variable and at least one parameter large
-
Langer R.E. The solution of the Mathieu equation with a complex variable and at least one parameter large. Trans. Amer. Math. Soc. 36(3):1934;637-695.
-
(1934)
Trans. Amer. Math. Soc.
, vol.36
, Issue.3
, pp. 637-695
-
-
Langer, R.E.1
-
25
-
-
0029431393
-
Stability of time varying systems
-
F. Colonius, W. Kliemann, Stability of time varying systems, ASME Design Engineering Technical Conferences DE. 84-1, Vol. 3, Part A, 1995, pp. 365-373.
-
(1995)
ASME Design Engineering Technical Conferences DE. 84-1
, vol.3
, Issue.PART A
, pp. 365-373
-
-
Colonius, F.1
Kliemann, W.2
-
26
-
-
0029430032
-
An analytical study of stability of periodic systems by Poincare mappings
-
Guttalu R.S., Flashner H. An analytical study of stability of periodic systems by Poincare mappings. ASME Des. Eng. Tech. Conf. DE 84-1. Part A 3:1995;387-398.
-
(1995)
ASME Des. Eng. Tech. Conf. DE 84-1
, vol.3
, Issue.PART A
, pp. 387-398
-
-
Guttalu, R.S.1
Flashner, H.2
-
27
-
-
0029428928
-
On the analysis of time-periodic nonlinear hamiltonian dynamical systems
-
Butcher E.A., Sinha S.C. On the analysis of time-periodic nonlinear hamiltonian dynamical systems. ASME Des. Eng. Tech. Conf. DE 84-1. Part A 3:1995;375-386.
-
(1995)
ASME Des. Eng. Tech. Conf. DE 84-1
, vol.3
, Issue.PART A
, pp. 375-386
-
-
Butcher, E.A.1
Sinha, S.C.2
-
29
-
-
0344195855
-
Stability regions for the damped Mathieu equation
-
Taylor J., Narendra K. Stability regions for the damped Mathieu equation. SIAM J. Appl. Math. 17:1969;343-352.
-
(1969)
SIAM J. Appl. Math.
, vol.17
, pp. 343-352
-
-
Taylor, J.1
Narendra, K.2
-
30
-
-
0016037858
-
A technique for determining stability regions for the damped Mathieu equation
-
Gunderson H., Rigas H., VanVleck F.S. A technique for determining stability regions for the damped Mathieu equation. SIAM J. Appl. Math. 26(2):1974;345-349.
-
(1974)
SIAM J. Appl. Math.
, vol.26
, Issue.2
, pp. 345-349
-
-
Gunderson, H.1
Rigas, H.2
Vanvleck, F.S.3
-
31
-
-
0002327072
-
Ion storage in three dimensional, rotationally symmetric, quadrupole field. I. Theoretical treatment
-
Dawson P.H., Whetten N.R. Ion storage in three dimensional, rotationally symmetric, quadrupole field. I. Theoretical treatment. J. Vac. Sci. Technol. 5:1968;1-6.
-
(1968)
J. Vac. Sci. Technol.
, vol.5
, pp. 1-6
-
-
Dawson, P.H.1
Whetten, N.R.2
-
35
-
-
0021783723
-
On stability diagrams for damped Hill equations
-
Pederson P. On stability diagrams for damped Hill equations. Quart. Appl. Math. 42:1985;477-495.
-
(1985)
Quart. Appl. Math.
, vol.42
, pp. 477-495
-
-
Pederson, P.1
-
37
-
-
0011005837
-
Tables of the elliptic-cylinder functions
-
Ince E.L. Tables of the elliptic-cylinder functions. R. Soc. Edinburgh Proc. 52:1932;355-423.
-
(1932)
R. Soc. Edinburgh Proc.
, vol.52
, pp. 355-423
-
-
Ince, E.L.1
-
40
-
-
0030211509
-
Periodic solution of a second order, autonomous, nonlinear system
-
Esmailzadeh E., Mehri B., Nakhaie Jazar G. Periodic solution of a second order, autonomous, nonlinear system. Nonlinear Dyn. 10:1996;307-316.
-
(1996)
Nonlinear Dyn.
, vol.10
, pp. 307-316
-
-
Esmailzadeh, E.1
Mehri, B.2
Nakhaie Jazar, G.3
-
42
-
-
28844484998
-
Impulsive parametric excitation: Theory
-
Hsu C.S. Impulsive parametric excitation: Theory. Journal of Applied Mechanics. 39:1972;551-559.
-
(1972)
Journal of Applied Mechanics
, vol.39
, pp. 551-559
-
-
Hsu, C.S.1
|