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The basin boundary of the breakup channel in chaotic rearrangement scattering

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Abstract

We present an example of demonstration for the basin boundaries in classical rearrangement scattering with particular emphasis on the breakup channel. Whereas the basin boundaries of the other arrangement channels are given by stable manifolds of periodic orbits in the interaction region, the basin boundary of the breakup channel is given by the stable manifold of a particular subset in the set of final asymptotes. The geometry of this boundary surface is presented in detail. Further, we discuss the transition to chaos at the energetic threshold of the breakup channel and the related basin boundary metamorphosis.

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Acknowledgements

This project was funded by the Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, Saudi Arabia, under grant number KEP-17-130-41. The authors, therefore, thankfully acknowledge DSR for technical and financial support. C. J. thanks DGAPA for financial support under grant number IG-100819 and CONACYT for financial support under grant number 425854. Our warmest thanks also go to the two anonymous referees for the careful reading of the manuscript as well as for all the apt suggestions and comments, which allowed us to improve both the quality and the clarity of the paper.

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Authors and Affiliations

  1. Department of Physics, School of Science, Aristotle University of Thessaloniki, GR-541 24, Thessaloniki, Greece

    Euaggelos E. Zotos

  2. Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Av. Universidad s/n, 62251, Cuernavaca, Mexico

    Christof Jung

  3. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    Tareq Saeed

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  1. Euaggelos E. Zotos
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Correspondence to Euaggelos E. Zotos.

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Zotos, E.E., Jung, C. & Saeed, T. The basin boundary of the breakup channel in chaotic rearrangement scattering. Nonlinear Dyn 104, 705–725 (2021). https://doi.org/10.1007/s11071-021-06240-6

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