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ANALYTICAL SOLUTIONS OF THE SYSTEM OF TWO COUPLED PURE CUBIC NON-LINEAR OSCILLATORS EQUATIONS

โœ Scribed by L. CVETICANIN

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
223 KB
Volume
245
Category
Article
ISSN
0022-460X

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๐Ÿ“œ SIMILAR VOLUMES

A MODEL SYSTEM FOR THE BEHAVIOR OF TWO N
A MODEL SYSTEM FOR THE BEHAVIOR OF TWO NON-LINEARLY COUPLED OSCILLATORS
โœ A. Maccari ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 282 KB

This paper presents a systematic analysis approach for the study of two non-linearly coupled oscillators, with incommensurable fundamental frequencies. The asymptotic perturbation method is used to analyze a bifurcation problem of codimension two. It is found that the amplitude modulation equations

EXACT SOLUTIONS OF CYCLICALLY SYMMETRIC
EXACT SOLUTIONS OF CYCLICALLY SYMMETRIC OSCILLATOR EQUATIONS WITH NON-LINEAR COUPLING. PART III: GLOBALLY STABLE SINGLE-FREQUENCY LIMIT CYCLES
โœ FOX, DAVID ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 311 KB

Several authors have found very simple exact limit cycle solutions in certain sets of N cyclically symmetric coupled non-linear oscillator equations. In part I of this paper it was shown that the search for sets of equations with similar solutions is made much simpler if the equations are expressed