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| Revealing the Escape Dynamics in a HamiltonianSystem with Five Exits |
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| KeyWord:Hamiltonian systems Escapes Fractality Basin entropy |
| Author Name | Affiliation | | Euaggelos E. Zotos | Department of Physics, School of Science, Aristotle University of Thessaloni-
ki, GR-541 24, Thessaloniki, Greece | | Wei Chen | LMIB and School of Mathematical Sciences, Beihang University, Beijing
100191, China
Peng Cheng Laboratory, Shenzhen, Guangdong 518055, China
Beijing Advanced Innovation Center for Big Data and Brain Computing, Bei-
hang University, Beijing 100191, China | | Md Sanam Suraj | Department of Mathematics, Sri Aurobindo College, University of Delhi, New
Delhi-110017, Delhi, India | | Rajiv Aggarwal | Department of Mathematics, Deshbandhu College, University of Delhi, New
Delhi-110019, Delhi, India | | Charanpreet Kaur | Department of Mathematics, SGTB Khalsa College, North Campus, Univer-
sity of Delhi, New Delhi, India |
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| Abstract: |
| The scope of this work is to reveal, by means of numerical methods, the escape process in a Hamiltonian system with five exits which describes
the problem of rearrangement multichannel scattering. For determining the
influence of the energy on the nature of the orbits we classify starting conditions of orbits in planes of two dimensions. All the complex basins of escape,
associated with the five escape channels of the system, are illustrated by using
color-coded diagrams. The distribution of time of the escape is correlated with
the corresponding escape basins. The uncertainty (fractal) dimension along
with the (boundary) basin entropy are computed for quantifying the degree of
fractality of the dynamical system. |
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