Finding NHIM: Identifying high dimensional phase space structures in reaction dynamics using Lagrangian descriptors

@article{Naik2019FindingNI,
  title={Finding NHIM: Identifying high dimensional phase space structures in reaction dynamics using Lagrangian descriptors},
  author={Shibabrat Naik and V. J. Garc{\'i}a-Garrido and Stephen Wiggins},
  journal={Commun. Nonlinear Sci. Numer. Simul.},
  year={2019},
  volume={79},
  pages={104907}
}
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27 Citations
Highly Influential Citations
3
Background Citations
6
Methods Citations
7

27 Citations

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. Lagrangian Descriptors (LDs) are scalar quantities able to reveal separatrices, manifolds of hyperbolic saddles, and chaotic seas of dynamical systems. A popular version of the LDs consists in…

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The capability of the Discrete Lagrangian Descriptors technique to reveal the geometrical template of stable and unstable invariant manifolds in phase space, and also the intricate structure of chaotic sets and strange attractors, is illustrated by applying it to unveil the phase space of a well-known discrete time system, the Henon map.

50 References

Lagrangian descriptors: A method for revealing phase space structures of general time dependent dynamical systems

Geometrical models of the phase space structures governing reaction dynamics

Hamiltonian dynamical systems possessing equilibria of saddle × center × ... × center stability type display reaction-type dynamics for energies close to the energy of such equilibria; entrance and…

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