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Can I read Effect of bounded noise on the chaotic motion of a Duffing Van der pol oscillator in a φ6 potential on EtoBox?
Effect of bounded noise on the chaotic motion of a Duffing Van der pol oscillator in a φ6 potential by Xiaoli Yang; Wei Xu; Zhongkui Sun is a Physics and Astronomy article available to read on EtoBox.
What is Effect of bounded noise on the chaotic motion of a Duffing Van der pol oscillator in a φ6 potential about?
This paper investigates the chaotic behavior of an extended Duffing Van der pol oscillator in a / 6 potential under additive harmonic and bounded noise excitations for a specific parameter choice. From Melnikov theorem, we obtain the conditions for the existence of homoclinic or heteroclinic bifurcation in the case of the / 6 potential is bounded, which are complemented by the numerical simulations from which we illustrate the bifurcation surfaces and the fractality of the basins of attraction. The results show that the threshold amplitude of bounded noise for onset of chaos will move upwards as the noise intensity increases, which is further validated by the top Lyapunov exponents of the original system. Thus the larger the noise intensity results in the less possible chaotic domain in parameter space. The effect of bounded noise on Poincare maps is also investigated.
Who reads Effect of bounded noise on the chaotic motion of a Duffing Van der pol oscillator in a φ6 potential?
It is typically read by researchers, students, and practitioners in Physics and Astronomy.
- Author
- Xiaoli Yang; Wei Xu; Zhongkui Sun
- Publisher
- Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0960-0779)
- Published
- 2006
- Language
- EN
- Field
- Physics and Astronomy (Physical Sciences)