Mishra, SK (2014): A note on Poincaré recurrence in Anosov diffeomorphic transformation of discretized outline of some plant leaves.
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Abstract
This note provides some examples of plant leaves whose outline maps exhibit Poincaré recurrence and mixing while subjected to repeated Anosov diffeomorphic transformation. The datasets and a computer program (Fortran 77) have also been given.
Item Type:  MPRA Paper 

Original Title:  A note on Poincaré recurrence in Anosov diffeomorphic transformation of discretized outline of some plant leaves 
Language:  English 
Keywords:  Plant leaf shape, Deformed ellipse, Anosov diffeomorphism, Poincaré recurrence, Chaos, Mixing 
Subjects:  C  Mathematical and Quantitative Methods > C4  Econometric and Statistical Methods: Special Topics > C45  Neural Networks and Related Topics C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61  Optimization Techniques ; Programming Models ; Dynamic Analysis C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C62  Existence and Stability Conditions of Equilibrium C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C63  Computational Techniques ; Simulation Modeling 
Item ID:  57687 
Depositing User:  Sudhanshu Kumar Mishra 
Date Deposited:  01 Aug 2014 13:50 
Last Modified:  05 Oct 2019 05:24 
References:  Arnold, V.I. and Avez, A. (1968). Ergodic Problems in Classical Mechanics. New York: Benjamin. Dyson F.J. and Falk, H. (1992). Period of a Discrete Cat Mapping. The American Mathematical Monthly 99(7): 603–614. Gielis, J. (2003). A Generic Geometric Transformation that unifies a Wide Range of Natural and Abstract Shapes. American Journal of Botany 90(3): 333–338. 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/57687 
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A note on Poincaré recurrence in Anosov diffeomorphic transformation of discretized outline of some plant leaves. (deposited 27 Jul 2014 20:32)
 A note on Poincaré recurrence in Anosov diffeomorphic transformation of discretized outline of some plant leaves. (deposited 01 Aug 2014 13:50) [Currently Displayed]