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- W2904041407 abstract "In this paper two-dimensional discrete dynamical systems have been considered. The period doubling bifurcation points of period ( 2^{n} ) corresponding periodic points of the dynamical system ( x_{k + 1} = 1 - ax_{k}^{2} + y_{k} ), ( y_{k + 1 } = beta x_{k} ) where ( a ) is a parameter and ( beta ) is constant are calculated for three different values of ( beta ), i.e., ( beta = 0.2 ), ( beta = 0.02 ) and ( beta = 0.01 ). It has been seen that the relative position of the ( x ) coordinate of the Henon map follows a Mathematical model, which can be used to discuss some graph theoretic properties, up to some values of ( n ) and this value of ( n ) increases as value of ( beta ) decreases. For the dynamical system ( x_{n + 1} = ax_{n} left( {1 - x_{n} } right) - bx_{n} y_{n} ), ( y_{n + 1} = - cy_{n} + dx_{n} y_{n} ) a limit cycle has been considered for a particular value of ( a,b,c,d ) and graph theoretical scenario has been put forward where degree of every points have been calculated by using a suitable computer program." @default.
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- W2904041407 date "2018-12-12" @default.
- W2904041407 modified "2023-09-26" @default.
- W2904041407 title "Graph Theoretic Scenario in Period Doubling and Limit Cycle Circumstances in Two-Dimensional Maps" @default.
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- W2904041407 doi "https://doi.org/10.1007/978-981-13-1951-8_36" @default.
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