On–off Intermittency in  Small Neural Networks With  Time-Dependent Synaptic Noise

Krawiecki, A.; Kosiński, R. A.

doi:10.1142/s0218127499000055

Cited by 4 publications

References 23 publications

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Experimental and numerical investigation of bistability in rotating permanent magnet-generated electrolyte flow in a ring-shaped container

Berenis

Grants

2022

Physics of Fluids

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Here, the stability of a transversely magnetized rotating permanent magnet-generated flow in a concentric cylindrical ring channel is studied. Numerical calculations show that the steady-state solution becomes asymmetric through a pitchfork bifurcation at a Reynolds number (Re) of 60. The two new antisymmetric steady-state solutions become cyclic at Re = 90. Nonlinearities develop at larger Re values and the limit cycle solutions are destabilized at Re = 250, enabling random transition events between the two pitchfork branches. Such transitions have been observed in all kinds of natural phenomena, spanning from neuroscientific to astrophysical systems, which are often too complex to be directly computed. Our presented system is physical yet simple enough to be used to conduct a parametric study with full three-dimensional direct numerical simulations. It raises the possibility of numerically and experimentally analyzing transitions in more detail. Experimental measurements indicated the existence of long-lived states and suitability for the proposed system for future studies of such phenomenon. However, the experimental results did not conclusively observe bistability.

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Experimental and numerical investigation of bistability in rotating permanent magnet-generated electrolyte flow in a ring-shaped container

Berenis

Grants

2022

Physics of Fluids

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Volatility Clustering and Scaling for Financial Time Series due to Attractor Bubbling

2002

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A microscopic model of financial markets is considered, consisting of many interacting agents (spins) with global coupling and discrete-time heat bath dynamics, similar to random Ising systems. The interactions between agents change randomly in time. In the thermodynamic limit, the obtained time series of price returns show chaotic bursts resulting from the emergence of attractor bubbling or on-off intermittency, resembling the empirical financial time series with volatility clustering. For a proper choice of the model parameters, the probability distributions of returns exhibit power-law tails with scaling exponents close to the empirical ones.

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On-off intermittency in small-world networks of chaotic maps

Jin-Qing

2005 IEEE International Symposium on Circuits and Systems

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On–off Intermittency in Small Neural Networks With Time-Dependent Synaptic Noise

Cited by 4 publications

References 23 publications

Experimental and numerical investigation of bistability in rotating permanent magnet-generated electrolyte flow in a ring-shaped container

Experimental and numerical investigation of bistability in rotating permanent magnet-generated electrolyte flow in a ring-shaped container

Volatility Clustering and Scaling for Financial Time Series due to Attractor Bubbling

On-off intermittency in small-world networks of chaotic maps

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