𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A collocation algorithm for calculating the periodic solutions of non-linear oscillators

✍ Scribed by A. Buonomo

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
477 KB
Volume
20
Category
Article
ISSN
0098-9886

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

PERIODIC SOLUTIONS OF STRONGLY NON-LINEA
PERIODIC SOLUTIONS OF STRONGLY NON-LINEAR OSCILLATORS BY THE MULTIPLE SCALES METHOD
✍ F. LAKRAD; M. BELHAQ πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 339 KB

The multiple scales method, developed for the systems with small non-linearities, is extended to the case of strongly non-linear self-excited systems. Two types of nonlinearities are considered: quadratic and cubic. The solutions are expressed in terms of Jacobian elliptic functions. Higher order ap

PERIODIC SOLUTIONS OF STRONGLY QUADRATIC
PERIODIC SOLUTIONS OF STRONGLY QUADRATIC NON-LINEAR OSCILLATORS BY THE ELLIPTIC PERTURBATION METHOD
✍ S.H. Chen; X.M. Yang; Y.K. Cheung πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 228 KB

The elliptic perturbation method is applied to the study of the periodic solutions of strongly quadratic non-linear oscillators of the form x¨+ c1 x + c2 x 2 = ef(x, x˙), in which the Jacobian elliptic functions are employed. The generalized Van der Pol equation with f(x, x˙) = m0 + m1 x -m2 x 2 is

PERIODIC SOLUTIONS OF STRONGLY QUADRATIC
PERIODIC SOLUTIONS OF STRONGLY QUADRATIC NON-LINEAR OSCILLATORS BY THE ELLIPTIC LINDSTEDT–POINCARΓ‰ METHOD
✍ S.H. CHEN; X.M. YANG; Y.K. CHEUNG πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 144 KB

The elliptic Lindstedt}PoincareH method is used/employed to study the periodic solutions of quadratic strongly non-linear oscillators of the form xK #c x# c x" f (x,. xR ), in which the Jacobian elliptic functions are employed instead of the usual circular functions in the classical Lindstedt}Poinc

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. πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 130 KB πŸ‘ 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

EXTREME-VALUE PREDICTION FOR NON-LINEAR
EXTREME-VALUE PREDICTION FOR NON-LINEAR STOCHASTIC OSCILLATORS VIA NUMERICAL SOLUTIONS OF THE STATIONARY FPK EQUATION
✍ J.F. Dunne; M. Ghanbari πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 305 KB

The accuracy of two well-established numerical methods is demonstrated, and the importance of ''bandwidth'' examined, for computationally efficient Markov based extreme-value predictions associated with finite duration stationary sample paths of a non-linear oscillator driven by Gaussian white noise