Abstract

Abstract Important feature of chaotic transitions is a self-organization that presents a spontaneous order arising in a system when certain parameters of the system reach critical values. Recent findings suggest that these principles may implicate new concepts for understanding consciousness and cognition. Self-organization may produce random-like processes that could explain “randomness” in neural synchronization related to cognitive functions and consciousness, and also in mental disorganization related to psychopathological phenomena.

Highlights

  • History of nonlinear mathematics which describes the socalled chaotic phenomena and complexity in nature has its roots in the last years of 19th century

  • The concept of dynamical chaos was for the first time developed by French mathematician Henri Poincaré (1854-1912), who studied predictability in a system behavior and found that chaotic randomness does not mean a true randomness because it is caused by unpredictability and sensitivity with respect to stimuli that influence system behavior and determine disproportional changes

  • Chaos in the brain may implicate the degree of unpredictability of mental and behavioral events which is in accordance with the extent of variations in the space-time patterns of the activity of chaotic systems (Freeman, 1999)

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Summary

Introduction

History of nonlinear mathematics which describes the socalled chaotic phenomena and complexity in nature has its roots in the last years of 19th century. The concept of dynamical chaos was for the first time developed by French mathematician Henri Poincaré (1854-1912), who studied predictability in a system behavior and found that chaotic randomness does not mean a true randomness because it is caused by unpredictability and sensitivity with respect to stimuli that influence system behavior and determine disproportional changes.

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