-
5
-
-
0003929894
-
-
Princeton University Press, Princeton, NJ
-
Krylov, N. and Bogolioubov, N., Introduction to Nonlinear Mechanics, Princeton University Press, Princeton, NJ, 1943.
-
(1943)
Introduction to Nonlinear Mechanics
-
-
Krylov, N.1
Bogolioubov, N.2
-
8
-
-
0014586184
-
An extension to the method of Krylov and Bogolioubov
-
Barkham, P. G. D. and Soudack, A. C., 'An extension to the method of Krylov and Bogolioubov', International Journal of Control 10, 1969, 377-392.
-
(1969)
International Journal of Control
, vol.10
, pp. 377-392
-
-
Barkham, P.G.D.1
Soudack, A.C.2
-
9
-
-
0014719916
-
Approximate solutions of non-linear non-autonomous second-order differential equations
-
Barkham, P. G. D. and Soudack, A. C., 'Approximate solutions of non-linear non-autonomous second-order differential equations', International Journal of Control 11, 1970, 101-114.
-
(1970)
International Journal of Control
, vol.11
, pp. 101-114
-
-
Barkham, P.G.D.1
Soudack, A.C.2
-
10
-
-
0014872494
-
Further results on approximate solutions of non-linear, non-autonomous second-order differential equations
-
Soudack, A. C. and Barkham, P. G. D., 'Further results on approximate solutions of non-linear, non-autonomous second-order differential equations', International Journal of Control 12, 1970, 763-767.
-
(1970)
International Journal of Control
, vol.12
, pp. 763-767
-
-
Soudack, A.C.1
Barkham, P.G.D.2
-
11
-
-
0038484459
-
On the transient solution of the unforced Duffing equation with large damping
-
Soudack, A. C. and Barkham, P. G. D., 'On the transient solution of the unforced Duffing equation with large damping', International Journal of Control 13, 1971, 767-769.
-
(1971)
International Journal of Control
, vol.13
, pp. 767-769
-
-
Soudack, A.C.1
Barkham, P.G.D.2
-
12
-
-
0024648820
-
Extension and improvement to the Krylov-Bogolioubov methods using elliptic functions
-
Yuste, S. B. and Bejarano, J. D., 'Extension and improvement to the Krylov-Bogolioubov methods using elliptic functions', International Journal of Control 49, 1989, 1127-1141.
-
(1989)
International Journal of Control
, vol.49
, pp. 1127-1141
-
-
Yuste, S.B.1
Bejarano, J.D.2
-
13
-
-
0342730159
-
Osciladores alineales excitados no linealmente
-
Bejarano, J. D., Sanchez, A. M., and Rodriguez, C. M., 'Osciladores alineales excitados no linealmente', Annales de Fisica 78A, 1982, 159-164.
-
(1982)
Annales De Fisica
, vol.78 A
, pp. 159-164
-
-
Bejarano, J.D.1
Sanchez, A.M.2
Rodriguez, C.M.3
-
14
-
-
0023647910
-
Amplitude decay of damped non-linear oscillators studied with Jacobian elliptic functions
-
Yuste, S. B. and Bejarano, J. D., 'Amplitude decay of damped non-linear oscillators studied with Jacobian elliptic functions', Journal of Sound and Vibration 114, 1987, 33-44.
-
(1987)
Journal of Sound and Vibration
, vol.114
, pp. 33-44
-
-
Yuste, S.B.1
Bejarano, J.D.2
-
15
-
-
0025546248
-
Using computer algebra to handle elliptic functions in the method of averaging
-
American Society Mechanical Engineers PVP, ASME, New York
-
Rand, R. H., 'Using computer algebra to handle elliptic functions in the method of averaging', in Symbolic Computations and Their Impact on Dynamics, American Society Mechanical Engineers PVP, Vol. 205, ASME, New York, 1990, pp. 311-326.
-
(1990)
Symbolic Computations and Their Impact on Dynamics
, vol.205
, pp. 311-326
-
-
Rand, R.H.1
-
16
-
-
0022790036
-
Construction of approximate analytical solutions to a new class of nonlinear oscillator equations
-
Yuste, S. B. and Bejarano, J. D., 'Construction of approximate analytical solutions to a new class of nonlinear oscillator equations', Journal of Sound and Vibration 110, 1986, 347-350.
-
(1986)
Journal of Sound and Vibration
, vol.110
, pp. 347-350
-
-
Yuste, S.B.1
Bejarano, J.D.2
-
17
-
-
0343600055
-
Generalized Fourier series and limit cycles of generalized van der Pol oscillators
-
Garcia-Margallo, J. and Bejarano, J. D., 'Generalized Fourier series and limit cycles of generalized van der Pol oscillators', International Journal of Control 49, 1988, 1127-1141.
-
(1988)
International Journal of Control
, vol.49
, pp. 1127-1141
-
-
Garcia-Margallo, J.1
Bejarano, J.D.2
-
18
-
-
0025206791
-
Averaging using elliptic functions: Approximation of limit cycles
-
Coppola, V. T. and Rand, R. H. 'Averaging using elliptic functions: Approximation of limit cycles', Acta Mechanica 81, 1990, 125-142.
-
(1990)
Acta Mechanica
, vol.81
, pp. 125-142
-
-
Coppola, V.T.1
Rand, R.H.2
-
19
-
-
0342295127
-
Macsyma program to implement averaging using elliptic functions
-
K. R. Meyer and D. S. Schmidt (eds.), Springer-Verlag, Berlin
-
Coppola, V. T. and Rand, R. H., 'Macsyma program to implement averaging using elliptic functions', in Computer Aided Proofs in Analysis, K. R. Meyer and D. S. Schmidt (eds.), Springer-Verlag, Berlin, 1991, pp. 71-89.
-
(1991)
Computer Aided Proofs in Analysis
, pp. 71-89
-
-
Coppola, V.T.1
Rand, R.H.2
-
20
-
-
0031095817
-
An elliptic Lindstedt-Poincaré method for certain strongly non-linear oscillators
-
Chen, S. H. and Cheung, Y. K., 'An elliptic Lindstedt-Poincaré method for certain strongly non-linear oscillators', Nonlinear Dynamics 12, 1997, 199-213.
-
(1997)
Nonlinear Dynamics
, vol.12
, pp. 199-213
-
-
Chen, S.H.1
Cheung, Y.K.2
-
21
-
-
0030195763
-
New analytical technique for predicting homoclinic bifurcations in autonomous dynamical systems
-
Belhaq, M., 'New analytical technique for predicting homoclinic bifurcations in autonomous dynamical systems', Mechanics Research Communications 23(4), 1998, 381-386.
-
(1998)
Mechanics Research Communications
, vol.23
, Issue.4
, pp. 381-386
-
-
Belhaq, M.1
-
22
-
-
0032641070
-
Predicting homoclinic bifurcations in planar autonomous systems
-
Belhaq, M., Lakrad, F., and Fahsi, A., 'Predicting homoclinic bifurcations in planar autonomous systems', Nonlinear Dynamics 18(4), 1999, 303-310.
-
(1999)
Nonlinear Dynamics
, vol.18
, Issue.4
, pp. 303-310
-
-
Belhaq, M.1
Lakrad, F.2
Fahsi, A.3
-
23
-
-
0030195763
-
Homoclinic bifurcations in self-excited oscillators
-
Belhaq, M. and Fahsi, A., 'Homoclinic bifurcations in self-excited oscillators', Mechanics Research Communications 23(4), 1996, 381-386.
-
(1996)
Mechanics Research Communications
, vol.23
, Issue.4
, pp. 381-386
-
-
Belhaq, M.1
Fahsi, A.2
-
24
-
-
0030285349
-
Separatrices and limit cycles of strongly nonlinear oscillators by the perturbation-incremental method
-
Xu, Z., Chen, H. S. Y., and Chung, K. W., 'Separatrices and limit cycles of strongly nonlinear oscillators by the perturbation-incremental method', Nonlinear Dynamics 11, 1996, 213-233.
-
(1996)
Nonlinear Dynamics
, vol.11
, pp. 213-233
-
-
Xu, Z.1
Chen, H.S.Y.2
Chung, K.W.3
-
27
-
-
0029691221
-
Discretization of homoclinic orbits and invisible chaos
-
American Mathematical Society, Providence, RI
-
Fiedler, B. and Scheurle, J., 'Discretization of homoclinic orbits and invisible chaos', in Memoirs of American Mathematical Society, Vol. 570, American Mathematical Society, Providence, RI, 1996.
-
(1996)
Memoirs of American Mathematical Society
, vol.570
-
-
Fiedler, B.1
Scheurle, J.2
-
28
-
-
48549112859
-
Exponential dichotomies and transversal homoclinic points
-
Palmer, K. J., 1984, 'Exponential dichotomies and transversal homoclinic points', Journal of Differential Equations 55, 1984, 225-256.
-
(1984)
Journal of Differential Equations
, vol.55
, pp. 225-256
-
-
Palmer, K.J.1
-
30
-
-
0003478288
-
-
Springer-Verlag, New York
-
Guckenheimer, J. and Holmes, P. J., Nonlinear Oscillations, Dynamical Systems and Bifurcation of Vector Fields, Springer-Verlag, New York, 1983.
-
(1983)
Nonlinear Oscillations, Dynamical Systems and Bifurcation of Vector Fields
-
-
Guckenheimer, J.1
Holmes, P.J.2
-
31
-
-
84974232147
-
Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. the cusp case of codimension 3
-
Dumortier, F., Roussarie, R., and Sotomayor, J., 'Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case of codimension 3', Ergodic Theory and Dynamical Systems 7, 1987, 375-413.
-
(1987)
Ergodic Theory and Dynamical Systems
, vol.7
, pp. 375-413
-
-
Dumortier, F.1
Roussarie, R.2
Sotomayor, J.3
-
32
-
-
0003602039
-
-
Pitman Research Notes on Mathematics, Addison Wesley, New York
-
Dangelmayr, G., Fiedler, B., Kirchgassner, K., and Mielke, A., Dynamics of Nonlinear Waves in Dissipative Systems: Reduction, Bifurcation and Stability, Pitman Research Notes on Mathematics, Vol. 352, Addison Wesley, New York, 1996.
-
(1996)
Dynamics of Nonlinear Waves in Dissipative Systems: Reduction, Bifurcation and Stability
, vol.352
-
-
Dangelmayr, G.1
Fiedler, B.2
Kirchgassner, K.3
Mielke, A.4
-
33
-
-
0009393913
-
-
International Series of Numerical Mathematics, Birkhäuser Verlag, Basel
-
Rodriguez-Luis, A. J., Freire, E., and Ponce, E., On a Codimension 3 Bifurcation Arising in an Autonomous Electronic Circuit, International Series of Numerical Mathematics, Vol. 97, Birkhäuser Verlag, Basel, 1991.
-
(1991)
On A Codimension 3 Bifurcation Arising in An Autonomous Electronic Circuit
, vol.97
-
-
Rodriguez-Luis, A.J.1
Freire, E.2
Ponce, E.3
|