Labyrinth chaos: Revisiting the elegant, chaotic, and hyperchaotic walks

Labyrinth chaos was discovered by Otto Rössler and René Thomas in their endeavour to identify the necessary mathematical conditions for the appearance of chaotic and hyperchaotic motion in continuous flows. Here, we celebrate their discovery by considering a single labyrinth walks system and an array of coupled labyrinth chaos systems that exhibit complex, chaotic behaviour, reminiscent of chimera-like states, a peculiar synchronisation phenomenon. We discuss the properties of the single labyrinth walks system and review the ability of coupled labyrinth chaos systems to exhibit chimera-like states due to the unique properties of their space-filling, chaotic trajectories, what amounts to elegant, hyperchaotic walks. Finally, we discuss further implications in relation to the labyrinth walks system by showing that even though it is volume-preserving, it is not force-conservative

Experimental Study of the Sampled Labyrinth Chaos

In this paper, some new numerical as well as experimental results connected with the so-called labyrinth chaos are presented. This very unusual chaotic motion can be generated by mathematical model involving the scalar goniometrical functions which makes a three-dimensional autonomous dynamical system strongly nonlinear. Final circuitry implementation with analog core and digital parts can be used for modeling Brownian motion. From the viewpoint of generating chaotic motion by some electronic circuit, first step is to solve problems associated with the two-port nonlinear transfer functions synthesis. In the case of labyrinth chaos the finite dynamical range of the input variables introduced by the used active elements usually limits the performance greatly, similarly as it holds for the multi-grid spiral attractors. This paper shows an elegant way how to remove these obstacles by using uni-versal multiple-port with internal digital signal processing

Walking Labyrinths : spirituality, religion and wellness tourism

Di Williams’s book Labyrinth - landscape of the soul. (2011) states that labyrinths have been known to the human race for well over 4000 years. They seem to have emerged and re-emerged in several time waves and in slightly differing forms throughout this period. The various forms of labyrinth have a long history, stretching back thousands of years. As a primeval archetype they occur in many parts of the world and in almost all religious traditions. The term is of ancient Greek origin, and the labyrinth in the palace of Knossos in Crete figures in Greek mythology. It is found in Hindu and Hopi images among many others. In Christian usage, a labyrinth was constructed in stone in the floor of Charters cathedral near Paris, around the year 1200. The faithful could make a pilgrimage journey to the cathedral and complete it by walking the labyrinth as the final symbol of a journey to the Holy Land. Having historical, cultural, and religious roots, humans have been walking the path of the labyrinth for centuries be it on the beach or in a cathedral. Labyrinth are experiencing a revival in modern life, showing up everywhere from universities, retreat centres, rehabilitation centres and hospitals, to prisons and back garden and bog landscapes. The process of walking the labyrinth is in response to the growing felt need for a spirituality to counter the materialism and chaos of our time. This research focus on a comparative study of the visitor’s experience of walking a spiritual labyrinth in Ireland with that in Lithuania

Inside the labyrinth : the thematics of space in the fiction of Paola Capriolo

In Capriolo's fiction we see, above all, the centrality of place in the minds and lives of her protagonists, often linked with the idea of the labyrinth: labyrinth as endless tortuous passageways, enclosed place, puzzle, quest. The stories, built around the obsessions of their protagonists, transcend normal temporal and spatial boundaries, and reflect the labyrinth in various forms: as a physical maze; as mirror reflections, sometimes infinitely receding; as a remote, closed-off place; and as a metaphor suggesting confusion of the mind or of ideas. As well as a considerable degree of overlap within these areas, there is a pervading, underlying sense of ambiguity, and the idea of permanence and of eternal 'being'