Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

A Smooth and Discontinuous OscillatorWada Basin Dynamics

A Smooth and Discontinuous Oscillator: Wada Basin Dynamics [This chapter investigates a specific point of the very intricate asymptotic behaviourAsymptotic behaviour of the SD oscillatorSD oscillator, which is known as the Wada basin dynamics. The oscillator is subjected to a linear viscous damping and to a sinusoidal forcing. As described and already observed through direct numerical integration, this system may possess more than twenty coexisted low-period periodic attractorsLow-period periodic attractor for a given set of parameters. The large number of stable orbits yields a complex structure of closely interwoven basins of attraction. We obtain the so-called Wada basins of which the boundaries are rigorously described.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Smooth and Discontinuous OscillatorWada Basin Dynamics

Download PDF
21 pages

Loading next page...
 
/lp/springer-journals/a-smooth-and-discontinuous-oscillator-wada-basin-dynamics-YQCiB0qb1c
Publisher
Springer Berlin Heidelberg
Copyright
© Springer-Verlag Berlin Heidelberg 2017
ISBN
978-3-662-53092-4
Pages
67 –88
DOI
10.1007/978-3-662-53094-8_6
Publisher site
See Chapter on Publisher Site

Abstract

[This chapter investigates a specific point of the very intricate asymptotic behaviourAsymptotic behaviour of the SD oscillatorSD oscillator, which is known as the Wada basin dynamics. The oscillator is subjected to a linear viscous damping and to a sinusoidal forcing. As described and already observed through direct numerical integration, this system may possess more than twenty coexisted low-period periodic attractorsLow-period periodic attractor for a given set of parameters. The large number of stable orbits yields a complex structure of closely interwoven basins of attraction. We obtain the so-called Wada basins of which the boundaries are rigorously described.]

Published: Sep 28, 2016

Keywords: Periodic Point; Unstable Manifold; Stable Manifold; Basin Boundary; Periodic Attractor

There are no references for this article.