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Nonlinear dynamical modeling of interaction between automatic and conscious processes in the human brain is considered in terms of the quaternion fields. The interaction is due, particularly, to the nonlinear firing rate of neurons.…

Pattern Formation and Solitons · Physics 2007-05-23 E. A. Novikov

Manipulation of the effects of consciousness by external influence on the human brain is considered in the context of the nonlinear dynamical modeling of interaction between automatic and conscious processes.

Pattern Formation and Solitons · Physics 2007-05-23 E. A. Novikov

A nonlinear dynamical modeling of interaction between automatic and conscious processes in the brain is described. Effects of sensations, emotions and reflections on the electromagnetic activity of the brain are represented in terms of…

Pattern Formation and Solitons · Physics 2007-05-23 E. A. Novikov

The neural mechanism of memory has a very close relation with the problem of representation in artificial intelligence. In this paper a computational model was proposed to simulate the network of neurons in brain and how they process…

Neurons and Cognition · Quantitative Biology 2020-12-02 Hui Wei

We report measurements of the brain activity of subjects engaged in behavioral exchanges with their environments. We observe brain states which are characterized by coordinated oscillation of populations of neurons that are changing rapidly…

Neurons and Cognition · Quantitative Biology 2007-05-23 Walter J. Freeman , Giuseppe Vitiello

Contemporary quantum mechanical description of nature involves two processes. The first is a dynamical process governed by the equations of local quantum field theory. This process is local and deterministic, but it generates a structure…

Quantum Physics · Physics 2007-05-23 Henry P. Stapp

We consider the implications of the mathematical analysis of neurone-to-neurone dynamical complex networks. We show how the dynamical behaviour of small scale strongly connected networks lead naturally to non-binary information processing…

Neurons and Cognition · Quantitative Biology 2016-09-15 Peter Grindrod

It has been said that complexity lies between order and disorder. In the case of brain activity, and physiology in general, complexity issues are being considered with increased emphasis. We sought to identify features of brain organization…

Neurons and Cognition · Quantitative Biology 2017-01-11 R. Guevara Erra , D. M. Mateos , R. Wennberg , J. L. Perez Velazquez

Thinking is one of the most interesting mental processes. Its complexity is sometimes simplified and its different manifestations are classified into normal and abnormal, like the delusional and disorganized thought or the creative one. The…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Daniele Quintella Mendes , Luis Alfredo Vidal de Carvalho

One of the current AI issues depicted in popular culture is the fear of conscious super AIs that try to take control over humanity. And as computational power goes upwards and that turns more and more into a reality, understanding…

Neurons and Cognition · Quantitative Biology 2023-05-22 Daniel Lopes

We investigate the dynamics of a network consisting of an array of identical cortical units with nearest neighbor interactions under periodic arousal. Each unit consists of two interconnected populations of neurons tuned to a state in which…

Neurons and Cognition · Quantitative Biology 2019-02-12 Leandro M. Alonso

This paper introduces a biomathematical model designed to describe the internal dynamics of dream formation and spontaneous cognitive processes. The model incorporates neurocognitive factors such as dissatisfaction, acceptance, forgetting,…

Neurons and Cognition · Quantitative Biology 2025-05-12 Shirmohammad Tavangari , Sajjad Janfaza , Zahra Shakarami , Aref Yelghi

Scientific studies have shown that non-conscious stimuli and representations influence information processing during conscious experience. In the light of such evidence, questions about potential functional links between non-conscious brain…

Neurons and Cognition · Quantitative Biology 2018-05-24 Birgitta Dresp-Langley

The brain is an intricately structured organ responsible for the rich emergent dynamics that support the complex cognitive functions we enjoy as humans. With around $10^{11}$ neurons and $10^{15}$ synapses, understanding how the human brain…

Neurons and Cognition · Quantitative Biology 2019-02-12 Jason Z. Kim , Danielle S. Bassett

A central challenge in the computational modeling of neural dynamics is the trade-off between accuracy and simplicity. At the level of individual neurons, nonlinear dynamics are both experimentally established and essential for neuronal…

The human brain is a dynamical system whose extremely complex sensor-driven neural processes give rise to conceptual, logical cognition. Understanding the interplay between nonlinear neural dynamics and concept-level cognition remains a…

Neural and Evolutionary Computing · Computer Science 2024-11-19 Herbert Jaeger

The mechanisms underlying major aspects of the human brain remain a mystery. It is unknown how verbal episodic memory is formed and integrated with sensory episodic memory. There is no consensus on the function and nature of dreaming. Here…

Other Quantitative Biology · Quantitative Biology 2013-06-26 Xiaoqiu Huang

In this paper, we study connections between the classical model-based approach to nonlinear system theory, where systems are represented by equations, and the nonlinear behavioral approach, where systems are defined as sets of trajectories.…

Optimization and Control · Mathematics 2024-05-30 Antonio Fazzi , Alessandro Chiuso

The deep neural nets of modern artificial intelligence (AI) have not achieved defining features of biological intelligence, including abstraction, causal learning, and energy-efficiency. While scaling to larger models has delivered…

Neurons and Cognition · Quantitative Biology 2021-05-24 Joseph D. Monaco , Kanaka Rajan , Grace M. Hwang

Beings, animate or inanimate, are dynamical systems which continuously interact with the (external and /or internal) environment through the physical or physiologic interfaces of their Kantian (representational) realities. And the nature of…

Neurons and Cognition · Quantitative Biology 2019-09-03 Jahan N. Schad
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