Analytical Method of Controlling Chaos in Duffing's Oscillator
β Scribed by T. Kapitaniak
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 193 KB
- Volume
- 163
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This paper presents an analytical approach based on the power series method for determining the periodic solutions of the forced undamped Duffing's oscillator. The time variable is first transformed into a new harmonically oscillating time which transforms the governing differential equation into a
A feasibility study has been carried out on a number of di!erent methods of controlling chaos in a Du$ng/Holmes oscillator. Four di!erent control strategies have been investigated via numerical integration of the governing equations. The same orbit has been successfully stabilised with three of the
An analytic method of microwave bipolar oscillator design, allowing one to define explicit expressions for optimum values of feedback elements and load through bipolar transistor Z-parameters, is developed. A negative resistance concept is utilized to design series feedback microwave bipolar oscilla
The resonant and chaotic conditions for non-dampened, non-linear, planar rods are developed through the Chirikov criterion, and the subharmonic bifurcation conditions for weakly dampened, non-linear, planar rods are also presented through the Melnikov method. The analytical conditions are based on a