๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Analysis of nonlinear discrete systems using the normal form method

โœ Scribed by Guy Jumarie

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
360 KB
Volume
320
Category
Article
ISSN
0016-0032

No coin nor oath required. For personal study only.

โœฆ Synopsis

The normal form theory initiated by Briuno to study the behaviour of continuous dynamical systems in the Ljapunov critical case, is extended to the analysis of nonlinear discrete systems. The resonant condition is derived as well as the normalization equations. The method may be used to study bifurcations and discrete systems with time varying parameters.

๐Ÿ“œ SIMILAR VOLUMES

Construction of Lyapunov Functions for N
Construction of Lyapunov Functions for Nonlinear Systems Using Normal Forms
โœ Carla A Schwartz; Aiguo Yan ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 191 KB

In 8 , the authors used normal form theory to construct Lyapunov functions for critical nonlinear systems in normal form coordinates. In this work, the authors expand on those ideas by providing a method for constructing the associated normal form transformations that gives rise to the systematic de

Dynamic analysis and control of multibod
Dynamic analysis and control of multibody systems using nonlinear combination methods
โœ Yunn-Lin Hwang; Shen-Jenn Hwang ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Wiley (John Wiley & Sons) ๐ŸŒ English โš– 718 KB

In this paper, the computer computation of nonlinear combination methods in deformable multibody dynamics is described. The organization of the computer program, which is used to automatically construct and numerically solve the system of loosely coupled equations of motion expressed in terms of the

The Method of Multiple Scales: Asymptoti
The Method of Multiple Scales: Asymptotic Solutions and Normal Forms for Nonlinear Oscillatory Problems
โœ NESTOR E. SANCHEZ ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 442 KB

The method of multiple scales is implemented in Maple V Release 2 to generate a uniform asymptotic solution O( r ) for a weakly nonlinear oscillator. In recent work, it has been shown that the method of multiple scales also transforms the differential equations into normal form, so the given algorit