STUDY OF BIFURCATION AND HYPERBOLICITY IN DISCRETE DYNAMICAL SYSTEMS

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SAHA L.M.; BHARTI -; MOHANTY R.K.

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Journal Paper

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Journal: IRANIAN JOURNAL OF SCIENCE Year:2010 | Volume:34 | Issue:A1 Page(s): 1-12

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Information Journal Paper

Title

STUDY OF BIFURCATION AND HYPERBOLICITY IN DISCRETE DYNAMICAL SYSTEMS

Author(s)

SAHA L.M. | BHARTI - | MOHANTY R.K. | Issue Writer Certificate

Keywords

HYPERBOLICITY

INVARIANT SET

CHAOS

NONLINEARITY

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.

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APA: Copy

SAHA, L.M., BHARTI, -, & MOHANTY, R.K.. (2010). STUDY OF BIFURCATION AND HYPERBOLICITY IN DISCRETE DYNAMICAL SYSTEMS. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, 34(A1), 1-12. SID. https://sid.ir/paper/579919/en

Vancouver: Copy

SAHA L.M., BHARTI -, MOHANTY R.K.. STUDY OF BIFURCATION AND HYPERBOLICITY IN DISCRETE DYNAMICAL SYSTEMS. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE[Internet]. 2010;34(A1):1-12. Available from: https://sid.ir/paper/579919/en

IEEE: Copy

L.M. SAHA, - BHARTI, and R.K. MOHANTY, “STUDY OF BIFURCATION AND HYPERBOLICITY IN DISCRETE DYNAMICAL SYSTEMS,” IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A- SCIENCE, vol. 34, no. A1, pp. 1–12, 2010, [Online]. Available: https://sid.ir/paper/579919/en

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