We introduce a “spatial” Lyapunov exponent to characterize the complex behavior of non chaotic but convectively unstable flow systems. This complexity is of spatial type and is due to sensitivity to the boundary conditions. We show that there exists a relation between the spatial-complexity index we define and the comoving Lyapunov exponents. In these systems the transition to chaos, i.e. the a...

Unlike more stable industries, high-tech firms must constantly be in a strategy development phase. These companies are in desperate need of assistance in strategy formulation. Chaos and Complexity theories can provide a powerful approach to support the development of business strategies to deal with these fastmoving environments. This paper analyzes the different schemes provided by Chaos and C...

In this paper we analyze the relationship between the computational capabilities of randomly connected networks of threshold gates in the timeseries domain and their dynamical properties. In particular we propose a complexity measure which we find to assume its highest values near the edge of chaos, i.e. the transition from ordered to chaotic dynamics. Furthermore we show that the proposed comp...

It is a long-standing debate among ecologists whether chaotic dynamics are likely to occur in food web systems. Simple mathematical models predict frequent chaotic dynamics for food webs of relatively low complexity suggesting that the long-term dynamics of natural populations could be essentially unpredictable. This result is at odds with observations from the field where chaos appears to be r...

Random neural networks are dynamical descriptions of randomly interconnected neural units. These show a phase transition to chaos as a disorder parameter is increased. The microscopic mechanisms underlying this phase transition are unknown and, similar to spin glasses, shall be fundamentally related to the behavior of the system. In this Letter, we investigate the explosion of complexity arisin...

a r t i c l e i n f o Current mathematical models in building research have been limited in most studies to linear dynamics systems. A literature review of past studies investigating chaos theory approaches in building simulation models suggests that as a basis chaos model is valid and can handle the increasing complexity of building systems that have dynamic interactions among all the distribu...

Human ventilation at rest exhibits mathematical chaos-like complexity that can be described as long-term unpredictability mediated (in whole or in part) by some low-dimensional nonlinear deterministic process. Although various physiological and pathological situations can affect respiratory complexity, the underlying mechanisms remain incompletely elucidated. If such chaos-like complexity is an...