We consider the effect of discrete-time signal or periodically pulsed forcing on chaotic dynamical systems and show that the systems can undergo novel multiple period-doubling bifurcations prior to the onset of chaos, followed by a rich variety of dynamical phenomena including enlarged periodic wind
Hybrid control of period-doubling bifurcation and chaos in discrete nonlinear dynamical systems
β Scribed by Xiao Shu Luo; Guanrong Chen; Bing Hong Wang; Jin Qing Fang
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 182 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0960-0779
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A detailed analysis is undertaken to explore the stability and bifurcation pattern of the nonlinear Bloch equation known to govern the dynamics of an ensemble of spins, controlling the basic process of nuclear magnetic resonance. After the initial analysis of the parameter space and stability region
In this article, bifurcation phenomena from the fundamental to the sixth higher-harmonic entrainment of a forced Rayleigh oscillator are studied. Of the fundamental to the sixth higher-harmonic entrainment regions, the saddle node bifurcation draws a closed loop, and no complex bifurcation structure