Two dimensional driven-dissipative flows are generally integrable via a conservation law that is singular at equilibria. Nonintegrable dynamical systems are confined to n≥3 dimensions. Even driven-dissipative deterministic dynamical systems that are critical, chaotic or complex have n-1 local time-independent conservation laws that can be used to simplify the geometric picture of the flow over ...

A concise commentary on observing and modeling complexity within the framework of dynamical systems, information, and computation theories. Deterministic chaos, randomness, order, predictability, uncertainty, and complexity are contrasted. The descriptive abstraction of state is seen to be a natural extension of the symbolization necessary for language and of the number concept. Philosophical c...

Chaos and complexity theories have implications for nursing practice. Chaotic systems, potentially including health, the NHS and nursing, are governed by rules which should be understood in order to try to predict future behaviour. Complexity relates to the interconnectedness of things and fits neatly with the concept of holistic care. It can also make important contributions towards restructur...

We investigate the circuit complexity and Loschmidt echo for (inverted) harmonic oscillators. Using a perturbative approach, we analytically derive Lyapunov exponent scrambling time of inverted show that exhibit qualitatively similar behaviors, particularly consistent exponent.

Entrepreneurs are argued to have higher foresight, ability handle complex situations, and superior planning. This qualitative study attempted validate these assertions in the pandemic context of COVID19. The created a chaotic business environment. information was available businesspersons region before quarter. Did they show adequate foresight assimilate respond crisis? How situation for planni...

The 'complexity of the brain' is reviewed in terms of structural, functional and dynamic complexity. Dendritic patterns, networks and modules are mentioned as complex structures at different levels of neural organization. The functioning of single cells, small networks serving as central pattern generators, and learning systmes are examples of functional complexity. Synchronous oscillation, cha...

To what degree could chaos and complexity have organized a Peptide or RNA World of crude yet necessarily integrated protometabolism? How far could such protolife evolve in the absence of a heritable linear digital symbol system that could mutate, instruct, regulate, optimize and maintain metabolic homeostasis? To address these questions, chaos, complexity, self-ordered states, and organization ...