Transitions from strongly to weakly-nonlinear dynamics in a class of exactly solvable oscillators and nonlinear beat phenomena-Reference-Cited by-同舟云学术

Transitions from strongly to weakly-nonlinear dynamics in a class of exactly solvable oscillators and nonlinear beat phenomena

Published:2007-06-02 Issue:3 Volume:52 Page:263-276
ISSN:0924-090X
Container-title:Nonlinear Dynamics
language:en
Short-container-title:Nonlinear Dyn

Author:

Pilipchuk V. N.

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Link

http://link.springer.com/content/pdf/10.1007/s11071-007-9276-4.pdf

Reference23 articles.

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2. Xu, Z., Cheung, Y.: Averaging method using generalized harmonic functions for strongly non-linear oscillators. J. Sound Vib. 174(4), 563–576 (1994)

3. Nayfeh, A.H.: Perturbation methods in nonlinear dynamics. In: Nonlinear Dynamics Aspects of Particle Accelerators, Santa Margherita di Pula, 1985, pp. 238–314. Springer, Berlin (1986)

4. Salenger, G., Vakakis, A.F., Gendelman, O., Manevitch, L., Andrianov, I.: Transitions from strongly to weakly nonlinear motions of damped nonlinear oscillators. Nonlinear Dyn. 20(2), 99–114 (1999)

5. Mikhlin, Y.V.: Analytical construction of homoclinic orbits of two- and three-dimensional dynamical systems. J. Sound Vib. 230(5), 971–983 (2000)

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