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Title: Chaotic Dynamics of Colpitts Oscillator System and Potential Applications
Guide(s): Yadava R. D. S.
Keywords: Physical Sciences,Physics,Thermodynamics
University: Banaras Hindu University
Completed Date: 2017
Abstract: An autonomous deterministic nonlinear dynamical system is described by a set of coupled newlineordinary differential equations of the form: xand#61478;1 and#61501; f1(x1, x2 ,....,xn ) , xand#61478;2 and#61501; f2 (x1, x2 ,....,xn ) , , newlinexand#61478;n and#61501; fn (x1, x2 ,....,xn ) where xi and fi with i and#61501;1,2,...,n denote respectively the system newlinevariables and the governing nonlinear functions, over-dot denotes time derivative, and n newlinerepresents the dimensionality of state space (or phase space). A non-conservative nonlinear newlinedynamical system with n and#61619; 3 may exhibit chaotic dynamics in certain range of system newlineparameters. Chaos in a system is the occurrence of bounded non-periodic evolution of newlinedynamical states with time. The trajectories of chaotic states in phase space are complicated newlineentanglement without ever crossing each other, and always confined to certain regions of the newlinephase space. The latter are characterized as attractors and attractor basins. newline
Appears in Departments:Department of Physics

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