Indicators of Chaos

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概要

• 論文の詳細を見る

• Chaotic phenomena are getting interest in all spheres of knowledge. In the past there were certain tools to identify regular and chaotic motions in dynamical systems such as time series curves, phase plots, Poincare maps, power spectra, Lyapunov Exponents etc. These indicators, though very powerful, are not sufficient to differentiate regular and chaotic motion when the system bears higher degrees of freedom. Recent developments in nonlinear dynamics, provide some new tools like Fast Lyapunov Indicators (FLI), Smaller Alignment Indices (SALI), Dynamic Lyapunov Indicators, 0 - 1 test etc. to overcome this problem. These new tools are discovered and explained by various researchers. In the present article these new tools have been discussed and their applications have been shown with satisfactory answers. Burger's map, Chirikov map and Bouncing ball dynamics model are brought in this cotext. Results obtained are quite satisfactory and significant.

• 近畿大学の論文

著者

• Saha L.

  Mathematical Sci. Foundation New Delhi Ind

• Yuasa Manabu

  Rist Kinki University

• YUASA Manabu

  RIST, Kinki University

• SAHA L.

  Department of Mathematics, Zakir Husain College, University of Delhi

• Saha L.

  Department Of Mathematics Zakir Husain College University Of Delhi

関連論文

• Indicators of Chaos
• Restoration of Missing Data and Reconstruction of Dynamical Systems
• Supplementation of Adjusted Values to the Imperfect Data
• Measuring Chaos: Topological Entropy and Correlation Dimension in Discrete Maps
• Characterization of Attractors in Gumowski-Mira Map Using Fast Lyapunov Indicators

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