Structure-preserving Method for Reconstructing Unknown Hamiltonian Systems from Trajectory Data

T. M. Cherry

1928

Earlier work this paper cites.

G. Szeg o ¨ \ddot{\textrm{o}}

1939

Earlier work this paper cites.

M. Hénon and C. Heiles

1964

Earlier work this paper cites.

J. Cullum

1971

Earlier work this paper cites.

I. Knowles and R. Wallace

1995

Earlier work this paper cites.

R. Tibshirani

1996

Earlier work this paper cites.

J. Bongard and H. Lipson

2007

Earlier work this paper cites.

M. Schmidt and H. Lipson

2009

Earlier work this paper cites.

D. F. Griffiths and D. J. Higham

2010

Earlier work this paper cites.

R. Chartrand

2011

Earlier work this paper cites.

A. Shabani, M. Mohseni, S. Lloyd, R. L. Kosut, and H. Rabitz

2011

Earlier work this paper cites.

A. Cohen, M. A. Davenport, and D. Leviatan

2013

Earlier work this paper cites.

J. E. Marsden and T. S. Ratiu

2013

Earlier work this paper cites.

I. Knowles and R. J. Renka

2014

Earlier work this paper cites.

N. Wiebe, C. Granade, C. Ferrie, and D. G. Cory

2014

Earlier work this paper cites.

J. Wagner, P. Mazurek, and R. Z. Morawski

2015

Cited alongside, same era.

S. L. Brunton, J. L. Proctor, and J. N. Kutz

2016

Cited alongside, same era.

S. L. Brunton, B. W. Brunton, J. L. Proctor, E. Kaiser, and J. N. Kutz

2017

Cited alongside, same era.

G. Leoni

2017

Cited alongside, same era.

Z. Long, Y. Lu, X. Ma, and B. Dong

Original

2017

Cited alongside, same era.

N. M. Mangan, J. N. Kutz, S. L. Brunton, and J. L. Proctor

2017

Cited alongside, same era.

M. Raissi, P. Perdikaris, and G. E. Karniadakis

J. Han, A. Jentzen, and W. E

2018

Later among the works it cites.

Y. Khoo, J. Lu, and L. Ying

Original

2018

Later among the works it cites.

H. Li, C. Collins, M. Tanha, G. J. Gordon, and D. J. Yaron

2018

Later among the works it cites.

Z. Long, Y. Lu, and B. Dong

Original

2018

Later among the works it cites.

A. Mardt, L. Pasquali, H. Wu, and F. Noe

2018

Later among the works it cites.

M. Raissi

Original

2018

Later among the works it cites.