Neha Kumra

Bio: Neha Kumra is an academic researcher from Chitkara University. The author has contributed to research in topics: Continuous modelling & Linear dynamical system. The author has an hindex of 1, co-authored 2 publications receiving 1 citations.

Complexity Studies in Some Piece wise Continuous Dynamical Systems

Abstract: The, “Complex systems”, stands as a broad term for many diverse disciplines of science and engineering including natural & medical sciences Complexities appearing in various dynamical systems during evolution are now interesting subjects of studies Chaos appearing in various dynamical systems can also be viewed as a form of complexity For some cases nonlinearities within the systems and for other cases piecewise continuity property of the system are responsible for such complexity Dynamical systems represented by mathematical models having piecewise continuous properties show strange complexity character during evolution Interesting recent articles explain widely on complexities in various systems Observable quantities for complexity are measurement of Lyapunov exponents (LCEs), topological entropies, correlation dimension etc The present article is related to study of complexity in systems having piecewise continuous properties Some mathematical models are considered here in this regard including famous Lozi map, a discrete mathematical model and Chua circuit, a continuous model Investigations have been carried forward to obtain various attractors of these maps appearing during evolution in diverse and interesting pattern for different set of values of parameters and for different initial conditions Numerical investigations extended to obtain bifurcation diagrams, calculations of LCEs, topological entropies and correlation dimension together with their graphical representation

Asymptotic Stability Analysis Applied in Two and Three-Dimensional Discrete Systems to Control Chaos

Abstract: Asymptotic stability analysis applied to stabilize unstable fixed points and to control chaotic motions in two and threedimensional discrete dynamical systems. A new set of parameter values obtained which stabilizes an unstable fixed point and control the chaotic evolution to regularity. The output of the considered model and that of the adjustable system continuously compared by a typical feedback and the difference used by the adaptation mechanism to modify the parameters. Suitable numerical simulation which are used thoroughly discussed and parameter values are adjusted. The findings are significant and interesting. This strategy has some advantages over many other chaos control methods in discrete systems but, however it can be applied within some limitations. KeywordsAsymptotic stability, Control parameter, Chaos, Lyapunov exponents.