Author/Authors :
SAHA، L. M نويسنده Mathematical Sciences Foundation, N-91, Greater Kailash I, New Delhi-110048, India SAHA, L. M , BHARTI، M نويسنده Shyam Lal College (Evening), University of Delhi, Delhi-110032, India BHARTI, M , MOHANTY، R. K نويسنده Deparment of Mathematics, University of Delhi, Delhi-110007, India ,
Abstract :
Bifurcations leading to chaos have been investigated in a number of one dimensional dynamical
systems by varying the parameters incorporated within the systems. The property hyperbolicity has been
studied in detail in each case which has significant characteristic behaviours for regular and chaotic
evolutions. In the process, the calculations for invariant set have also been carried out. A broad analysis of
bifurcations and hyperbolicity provide some interesting results. The fractal property, self-similarity, has also
been observed for chaotic regions within the bifurcation diagram. The results of numerical calculations
assume significant values