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9 Phase locking and pattern formation in tandem fish swimming

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rencontre du non-lin´eaire 2016 1

Phase locking and pattern formation in tandem fish swimming

I. Ashraf1∗, R. Godoy-Diana1, J. Halloy2 & B. Thiria1

1 Laboratoire de Physique et M´ecanique des Milieux H´et´erog`enes (PMMH), UMR CNRS 7636, PSL - ESPCI Paris, Sorbonne Universit´e - UPMC - Univ. Paris 06, Sorbonne Paris Cit´e - UDD - Univ. Paris 07, 10 rue Vauquelin 75005 Paris, France

2 Laboratoire Interdisciplinaire des Energies de Demain (LIED), UMR CNRS 8236, Sorbonne Paris Cit´e - UDD - Univ. Paris 07, Bˆat. Condorcet, 10 rue Alice Domon & L´eonie Duquet, 75013 Paris, France

* [email protected]

Abstract. Red nose tetra fish Hemigrammus bleheri swimming against a steady stream in channel flow are shown to synchronise when swimming in pairs. The synchronization is here characterized by either in-phase or out of phase swimming modes. The experiments were performed with seven different pairs of fishes. We analyze precisely the synchronisation as a function of the swimming parameters using a statistical approach based on the complete time-dependent kinematics of each fish. After showing that the synchronization between two fishes strongly depends upon swimming velocity, we give some elements about the understanding of collective swimming.

c Non Lin´eaire Publications, Avenue de l’Universit´e, BP 12, 76801 Saint- ´Etienne du Rouvray cedex

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