Beschreibung
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.
Autorenporträt
Dr Vinay Kumar has been working in the department of mathematics, Zakir Husain Delhi College, University of Delhi, since 2010. He completed his Ph.D.in mathematics from Delhi University in 2017. His primary areas of interest include Celestial Mechanics and Space Dynamics. He published several research papers in reputed international journals.
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