Sushil Yadav

Nonlinear dynamical systems are widely observed in many branches of physics ranging from Celestial Mechanics to Chemistry. In this book, we propose the method of Time-Frequency analysis based on wavelets to study the phase space structure of different nonlinear dynamical systems. We have investigated nonlinear dynamical systems from space dynamics and celestial mechanics. Also, the comparison with other methods such as Lyapunov Characteristic Exponents, Fourier Transform etc. is an important aspect. Different aspects of phase space structure such as resonance transition, stickiness, resonance trapping are explained using wavelet transform. The algorithm for the computation of Time-Frequency analysis based on wavelets is also explained in detail.

A Study of Resonance Problems in Geo-Synchronous Satellite proposes to give a comprehensive study of resonances in a geo-synchronous satellite. Geo-synchronous satellite with resonances has a large number of applications. They are widely used in telecommunication, navigation, mass-media, meteorological and geodetic studies and in many other fields. The text discusses systematically the equations of motion of satellite including Earth's Equatorial Ellipticity. It covers briefly the resonances cases in two, three and four body problems. The book provides detailed discussion about the effect of Earth's equatorial ellipticity parameter on amplitude and time-period of resonance oscillations.