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ABC-like flows on the 3-torus

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Author(s): Mihai Marciu, Radu Slobodeanu
Publisher: Chaos 32, 083145 (2022)
Year: 2022

Language: English
Pages: 10
City: N.Y.

I. INTRODUCTION
II. CURL SPECTRUM ON THE 3-TORUS AND THE ABC FLOW
III. HIGHER ORDER ABC FLOWS
IV. FLOW VISUALIZATION BY POINCARÉ SECTIONS
V. AN INTEGRABLE CASE
A. Chaos in the near-integrable case
VI. EPILOGUE
ACKNOWLEDGMENTS
A. APPENDIX: FOURTH DEGREE EQUATIONSQ5