Quantum Entanglement and fixed point Hopf bifurcation

We present the qualitative differences in the phase transitions of the mono-mode Dicke model in its integrable and chaotic versions. We show that a first order phase transition occurs in the integrable case whereas a second order in the chaotic one. This difference is also reflected in the classical limit: for the integrable case the stable fixed point in phase space suffers a bifurcation of Hopf type whereas for the second one a pitchfork type bifurcation has been reported

Formal and Relational Mechanisms of Network Governance and their Relationship with Trust: Substitutes or Complementary in Brazilian Real Estate Transactions?

The objective of this study was to investigate whether formal and relational mechanisms of network governance act as substitutes or are complementary in their relationship with trust in the intermediation activity of real estate transactions. A quantitative research was conducted to test the hypotheses. Data was collected via a survey and the context was Brazilian real estate business networks. A non-parametric approach was used to investigate the associations among the key variables indicated in the theory. The results confirm the hypothesis that formal and relational mechanisms of network governance act as complementary and reject the possibility of substitution between them. Both mechanisms are important to build trust-based relationships between actors, and formal governance mechanisms have a significant positive relationship with interorganisational trust, while relational mechanisms are positively associated with interpersonal trust. This study not only contributes to the discussion of governance mechanisms and their relationship with trust, but also broadens this debate by considering trust at different levels and present in more complex structures where these relationships are still little explored, such as is the case of business networks