Deterministic chaos, and even maximum computational complexity, have been discovered within Newtonian dynamics. Encouraged by comparisons of the economy with the weather, a Newtonian system, economists assume that prices and price changes can also obey abstract mathematical laws of motion. Meanwhile, sociologists and other postmodernists advertise that physics and chemistry have outgrown their ...

Critical regimes are present in all socio-technical systems. Usually, man-made systems are designed to avoid these regimes completely, and stay in a stable steady state to avoid uncertainty. However, complexity theory postulates that the edge of chaos, between order and disorder, provides highly interesting phenomena, such as emergence, which are important for the evolution of the system. In th...

The extent of chaos and the suppressory role of Coulomb repulsion in the chaotic dynamics associated with nonsteady finite-amplitude electroconvection is revisited in the context of dynamical systems. Specifically, it is theoretically demonstrated that the threshold value of the charge density taming the heteroclinic chaos associated with laminar chaotic mixing depends on the sinusoidal perturb...

Chaos theory is applied in many scientific disciplines: Mathematics, Programming, and Computer science, Physics, Engineering and Robotics. Chaotic behavior has been observed in the laboratory in a variety of systems including electrical circuits and electronic circuits as proposed by numerous researchers [70]. Chaos theory provides a new way of looking at complexity in nature and enables us to ...

We report Stochastic Resonance and Coherence Resonance phenomena in experiments using CO2 lasers. First, we consider a polarized laser with feedback; for suitable feedback parameters, the laser intensity undergoes homoclinic chaos consisting in the return to a saddle focus, where noise controls the permanence time around the saddle. Second, we discuss a quasi-isotropic laser where noise induces...