A note on Poincaré recurrence in Anosov diffeomorphic transformation of discretized outline of some plant leaves

Mishra, SK (2014): A note on Poincaré recurrence in Anosov diffeomorphic transformation of discretized outline of some plant leaves.

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
• 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

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