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We investigate the dynamical behaviour of two limit cycle oscillators that interact with each other via time delayed coupling and find that time delay can lead to amplitude death of the oscillators even if they have the same frequency. We…

chao-dyn · Physics 2009-10-31 D. V. Ramana Reddy , A. Sen , G. L. Johnston

Using coherence analysis (which is an extensively used method to study the correlations in frequency domain, between two simultaneously measured signals) we estimate the time delay between two signals. This method is suitable for time delay…

Data Analysis, Statistics and Probability · Physics 2009-11-10 R. B. Govindan , J. Raethjen , F. Kopper , J. C. Claussen , G. Deuschl

This article investigates the effect for random pinning models of long range power-law decaying correlations in the environment. For a particular type of environment based on a renewal construction, we are able to sharply describe the phase…

Probability · Mathematics 2025-08-15 Quentin Berger , Hubert Lacoin

The exploration of brain-heart interactions within various paradigms, including affective computing, human-computer interfaces, and sensorimotor evaluation, stands as a significant milestone in biomarker development and neuroscientific…

Other Quantitative Biology · Quantitative Biology 2026-04-27 Diego Candia-Rivera , Luca Faes , Fabrizio De Vico Fallani , Mario Chavez

We discuss the two moments of human cognition, namely, apprehension (A), whereby a coherent perception emerges from the recruitment of neuronal groups, and judgment(B),that entails the comparison of two apprehensions acquired at different…

Neurons and Cognition · Quantitative Biology 2018-02-28 F. Tito Arecchi

The elapsed time model has been widely studied in the context of mathematical neuroscience with many open questions left. The model consists of an age-structured equation that describes the dynamics of interacting neurons structured by the…

Analysis of PDEs · Mathematics 2021-03-22 Maria Caceres , Benoît Perthame , Delphine Salort , Nicolas Torres

Synchronization in neural system plays an important role in many brain functions. Synchronization in the gamma frequency band (30Hz-100Hz) is involved in a variety of cognitive phenomena; abnormalities of the gamma synchronization are found…

Neurons and Cognition · Quantitative Biology 2021-04-26 Quynh-Anh Nguyen , Leonid L Rubchinsky

Many real-world processes are trajectories that may be regarded as continuous-time "functional data". Examples include patients' biomarker concentrations, environmental pollutant levels, and prices of stocks. Corresponding advances in data…

Statistics Theory · Mathematics 2022-11-30 Jinghao Sun , Forrest W. Crawford

Because obesity is a risk factor for many serious illnesses such as diabetes, better understandings of obesity and eating disorders have been attracting attention in neurobiology, psychiatry, and neuroeconomics. This paper presents future…

Neurons and Cognition · Quantitative Biology 2011-11-29 Taiki Takahashi

Patients resuscitated from cardiac arrest who enter a coma are at high risk of death. Forecasting neurological outcomes of these patients (the task of neurological prognostication) could help with treatment decisions. In this paper, we…

Signal Processing · Electrical Eng. & Systems 2023-12-04 Xiaobin Shen , Jonathan Elmer , George H. Chen

A pervasive challenge in neuroscience is testing whether neuronal connectivity changes over time due to specific causes, such as stimuli, events, or clinical interventions. Recent hardware innovations and falling data storage costs enable…

Neurons and Cognition · Quantitative Biology 2024-01-05 Johan Medrano , Karl J. Friston , Peter Zeidman

We propose a model of processing of information in the brain which has the following distinguishing features: a). It is quantum-like (QL). The brain uses the quantum rule (given by von Neumann trace formula) for calculation of averages for…

Neurons and Cognition · Quantitative Biology 2010-08-03 Andrei Yu. Khrennikov

To understand Working of Human Brain measurements related to the brain function are required. These measurements should be possibly non-invasive. Brain should be disturbed as less as possible during the measurement. Integration of various…

Emerging Technologies · Computer Science 2015-06-16 Revati Shriram , M. Sundhararajan , Nivedita Daimiwal

The paper introduces a novel topological method for prediction and modeling for a nonlinear time--series that exhibit recurring patterns. According to the model, global manifold of the reconstructed state--space can be approximated by a few…

Chaotic Dynamics · Physics 2017-11-21 Sajini Anand P S , Prabhakar G Vaidya

This paper predicts the ability to externally control the firing times of a cortical neuron whose behavior follows the Izhikevich neuron model. The Izhikevich neuron model provides an efficient and biologically plausible method to track a…

Neurons and Cognition · Quantitative Biology 2018-09-06 Adam Noel , Shayan Monabbati , Dimitrios Makrakis , Andrew W. Eckford

Brain rhythms seem central to understanding the neurophysiological basis of human cognition. Yet, despite significant advances, key questions remain unresolved. In this comprehensive position paper, we review the current state of the art on…

Causal ordering of key events in the cell cycle is essential for proper functioning of an organism. Yet, it remains a mystery how a specific temporal program of events is maintained despite ineluctable stochasticity in the biochemical…

Molecular Networks · Quantitative Biology 2017-03-30 Farshid Jafarpour , Michael Vennettilli , Srividya Iyer-Biswas

Multivariate data sources with components of different information value seem to appear frequently in practice. Models in which the components change their homogeneity at different times are of significant importance. The fact whether any…

Optimization and Control · Mathematics 2020-11-04 Krzysztof Szajowski

In the context of neuroscience the elapsed-time model is an age-structured equation that describes the behavior of interconnected spiking neurons through the time since the last discharge, with many interesting dynamics depending on the…

Analysis of PDEs · Mathematics 2025-07-18 María J Cáceres , José A Cañizo , Nicolas Torres

In multi-condition EEG experiments, brain activity is recorded as subjects perform various tasks or are exposed to different stimuli. The recorded signals are commonly transformed into time-frequency representations, which often display…

Methodology · Statistics 2025-07-29 Xiaomeng Ju , Thaddeus Tarpey , Hyung G Park
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