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Periodicity

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Moving in time: Simulating how neural circuits enable rhythmic enactment of planned sequences.

Neural networks : the official journal of the International Neural Network Society
Many complex actions are mentally pre-composed as plans that specify orderings of simpler actions. To be executed accurately, planned orderings must become active in working memory, and then enacted one-by-one until the sequence is complete. Examples...

Periodicity and finite-time periodic synchronization of discontinuous complex-valued neural networks.

Neural networks : the official journal of the International Neural Network Society
This paper discusses the issue of periodicity and finite-time periodic synchronization of discontinuous complex-valued neural networks (CVNNs). Based on a modified version of Kakutani's fixed point theorem, general conditions are obtained to guarante...

Performance boost of time-delay reservoir computing by non-resonant clock cycle.

Neural networks : the official journal of the International Neural Network Society
The time-delay-based reservoir computing setup has seen tremendous success in both experiment and simulation. It allows for the construction of large neuromorphic computing systems with only few components. However, until now the interplay of the dif...

An Automated Pipeline for Image Processing and Data Treatment to Track Activity Rhythms of in Relation to Hydrographic Conditions.

Sensors (Basel, Switzerland)
Imaging technologies are being deployed on cabled observatory networks worldwide. They allow for the monitoring of the biological activity of deep-sea organisms on temporal scales that were never attained before. In this paper, we customized Convolut...

LSTM-based approach for predicting periodic motions of an impacting system via transient dynamics.

Neural networks : the official journal of the International Neural Network Society
Dynamically impacting systems are characterised with inherent instability and complex non-linear phenomena which makes it practically difficult to predict the steady state response of the system at transient periods. This study investigates the abili...

Multi-periodicity of switched neural networks with time delays and periodic external inputs under stochastic disturbances.

Neural networks : the official journal of the International Neural Network Society
This paper presents new theoretical results on the multi-periodicity of recurrent neural networks with time delays evoked by periodic inputs under stochastic disturbances and state-dependent switching. Based on the geometric properties of activation ...

Global polynomial periodicity and polynomial stability of proportional delay Cohen-Grossberg neural networks.

ISA transactions
This paper tackles the global polynomial periodicity (GPP) and global polynomial stability (GPS) for proportional delay Cohen-Grossberg neural networks (PDCGNNs). By adopting two transformations, designing opportune Lyapunov functionals (LFs) with tu...

Periodicity and multi-periodicity generated by impulses control in delayed Cohen-Grossberg-type neural networks with discontinuous activations.

Neural networks : the official journal of the International Neural Network Society
This paper discusses the periodicity and multi-periodicity in delayed Cohen-Grossberg-type neural networks (CGNNs) possessing impulsive effects, whose activation functions possess discontinuities and are allowed to be unbounded or nonmonotonic. Based...

Multiple asymptotical ω-periodicity of fractional-order delayed neural networks under state-dependent switching.

Neural networks : the official journal of the International Neural Network Society
This paper presents theoretical results on multiple asymptotical ω-periodicity of a state-dependent switching fractional-order neural network with time delays and sigmoidal activation functions. Firstly, by combining the geometrical properties of act...

(ω,c)-Asymptotically periodic oscillation of cellular neural networks on time scales with leakage delays and mixed time-varying delays.

Neural networks : the official journal of the International Neural Network Society
In this paper, we introduce the concept of (ω,c)-asymptotic periodicity within the context of translation-invariant time scales. This concept generalizes various types of function, including asymptotically periodic, asymptotically antiperiodic, asymp...