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Inferring the structure and dynamics of interactions in schooling fish
Determining individual-level interactions that govern highly coordinated motion in animal groups or cellular aggregates has been a long-standing challenge, central to understanding the mechanisms andExpand
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Collective States, Multistability and Transitional Behavior in Schooling Fish
We demonstrate that collective motion can be effectively mapped onto a set of order parameters describing the macroscopic group structure, revealing the existence of at least three dynamically-stable collective states; swarm, milling and polarized groups. Expand
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Phase transitions in systems of self-propelled agents and related network models.
An important characteristic of flocks of birds, schools of fish, and many similar assemblies of self-propelled particles is the emergence of states of collective order in which the particles move inExpand
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Collective dynamics of self-propelled particles with variable speed.
Understanding the organization of collective motion in biological systems is an ongoing challenge. In this paper we consider a minimal model of self-propelled particles with variable speed. InspiredExpand
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Intrinsic and extrinsic noise effects on phase transitions of network models with applications to swarming systems.
We analyze order-disorder phase transitions driven by noise that occur in two kinds of network models closely related to the self-propelled model proposed by Vicsek [Phys. Rev. Lett. 75, 1226 (1995)]Expand
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Dynamical Phase Transition in a Neural Network Model with Noise: An Exact Solution
The dynamical organization in the presence of noise of a Boolean neural network with random connections is analyzed. For low levels of noise, the system reaches a stationary state in which theExpand
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Adaptive-network models of swarm dynamics
We propose a simple adaptive-network model describing recent swarming experiments. Exploiting an analogy with human decision making, we capture the dynamics of the model using a low-dimensionalExpand
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Phase Transitions in Self-Driven Many-Particle Systems and Related Non-Equilibrium Models: A Network Approach
We investigate the conditions that produce a phase transition from an ordered to a disordered state in a family of models of two-dimensional elements with a ferromagnetic-like interaction. ThisExpand
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Decay Rates in Attractive Bose-Einstein Condensates
Attractive Bose-Einstein condensates are investigated with numerical continuation methods capturing stationary solutions of the Gross-Pitaevskii equation. The branches of stable (elliptic) andExpand
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Adaptive network models of collective decision making in swarming systems.
We consider a class of adaptive network models where links can only be created or deleted between nodes in different states. These models provide an approximate description of a set of systems whereExpand
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