Visualizing the phase space of the HeI<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg"><mml:msub><mml:mrow /><mml:mn>2</mml:mn></mml:msub></mml:math> van der Waals complex using Lagrangian descriptors

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چکیده

In this paper we demonstrate the capability of method Lagrangian descriptors to unveil phase space structures that characterize transport in high-dimensional symplectic maps. order illustrate its use, apply it a four-dimensional map model is used chemistry explore nonlinear dynamics van der Waals complexes. The advantage technique allows us easily and effectively extract invariant manifolds determine system under study by means examining intersections underlying with low-dimensional slices. With approach, one can perform full computational tomography from which three-dimensional representations higher-dimensional be systematically reconstructed. This analysis may much help for visualization understanding dynamical mechanisms take place systems. context, how tool detect whether stable unstable intersect forming turnstile lobes enclose certain volume, nature their intersection.

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ژورنال

عنوان ژورنال: Communications in Nonlinear Science and Numerical Simulation

سال: 2021

ISSN: ['1878-7274', '1007-5704']

DOI: https://doi.org/10.1016/j.cnsns.2021.105993