✦ LIBER ✦

Further Reductions of Normal Forms for Dynamical Systems

✍ Scribed by Guoting Chen; Jean Della Dora

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 187 KB
Volume: 166
Category: Article
ISSN: 0022-0396
DOI: 10.1006/jdeq.2000.3783

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Normal Forms for Perturbed Keplerian Sys

Normal Forms for Perturbed Keplerian Systems

✍ Jesús Palacián 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 331 KB

An Algorithm for Computing a New Normal

An Algorithm for Computing a New Normal Form for Dynamical Systems

✍ Guoting Chen; Jean Della Dora 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 378 KB

We propose in this paper a new normal form for dynamical systems or vector fields which improves the classical normal forms in the sense that it is a further reduction of the classical normal forms. We give an algorithm for an effective computation of these normal forms. Our approach is rational in

Construction of Lyapunov Functions for N

Construction of Lyapunov Functions for Nonlinear Systems Using Normal Forms

✍ Carla A Schwartz; Aiguo Yan 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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

Dimensionality reduction for uncertain d

Dimensionality reduction for uncertain dynamic systems

✍ Sean Kenny; Luis Crespo; Dan Giesy 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 269 KB

A NEW APPROACH FOR OBTAINING NORMAL FORM

A NEW APPROACH FOR OBTAINING NORMAL FORMS OF NON-LINEAR SYSTEMS

✍ W.Y. Zhang; K. Huseyin; Y.S. Chen 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 246 KB

In this paper, a modified approach for obtaining normal forms of non-linear dynamical systems is described. This approach provides a number of significant advantages over the existing normal form theory, and improves the associated calculations. A brief discussion concerning the application of the n

ON THE NORMAL FORMS OF CERTAIN PARAMETRI

ON THE NORMAL FORMS OF CERTAIN PARAMETRICALLY EXCITED SYSTEMS

✍ W.Y. ZHANG; K. HUSEYIN; M. YE 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 211 KB

In this paper, a modi"ed normal form approach for obtaining normal forms of parametrically excited systems is presented. This approach provides a number of signi"cant advantages over the existing normal form approaches, and improves the associated calculations. The approach lends itself more readily