✦ LIBER ✦

Failure of the method of slowly varying amplitude and phase for non-linear, singular oscillators

✍ Scribed by R.E. Mickens; I. Ramadhani

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 156 KB
Volume: 152
Category: Article
ISSN: 0022-460X
DOI: 10.1016/0022-460x(92)90075-9

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

LINEAR SYSTEMS, LIMIT CYCLES, MELNIKOV T

LINEAR SYSTEMS, LIMIT CYCLES, MELNIKOV THEORY, AND THE METHOD OF SLOWLY VARYING AMPLITUDE AND PHASE

✍ Ronald E. Mickens 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 133 KB

An important class of second-order, ordinary differential equations that play an important role in the modelling of dynamical systems in the natural and engineering sciences is the Lie´nard equation [1][2][3][4]. This equation takes the form

Generalization of the method of slowly v

Generalization of the method of slowly varying amplitude and phase to non-linear oscillatory systems with two degrees of freedom

✍ R.E. Mickens 📂 Article 📅 1981 🏛 Elsevier Science 🌐 English ⚖ 249 KB

Operation of the double phase conjugate

Operation of the double phase conjugate mirror for TE polarization: exact solution and failure of the slowly varying envelope approximation

✍ Kenneth D. Shaw 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 771 KB

A perturbation-incremental method for th

A perturbation-incremental method for the calculation of semi-stable limit cycles of strongly non-linear oscillators

✍ Chen, S. H. ;Chan, J. K. H. ;Leung, A. Y. T. 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 130 KB 👁 2 views

The semi-stable limit cycle and bifurcation of strongly non-linear oscillators of the form xK #g(x)" f (x, xR , )xR is studied by the perturbation-incremental method. Firstly, the ordinary di!erential equation is transformed into an integral equation by a non-linear time transformation, then the ini

A systematic method for the development

A systematic method for the development of a three-phase transformer non-linear model

✍ Andreas D. Theocharis; John Milias-Argitis; Thomas Zacharias 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 660 KB