… We wanted to publish a pedagogical book on nonlinear science, which would be sufficiently
elementary but with a solid mathematical backbone. It took about five years before the first …

… predict scientific research and the resulting outcomes. The problem is essentially related to
almost all scientific … Progress on SOS will lead to better solutions for many challenging issues, …

… challenge of understanding complex systems? Given that the ”stuff” of these systems is typically
very different, and the range of scientific … to understand how these systems behave? And …

… The following works address the consensus problem of the control and optimization in
complex systems, which is a challenge issue in complex systems since they are multi-objective or …

… problem so important in nonlinear science is that, in addition to this first bifurcation, the system
… unveiling practically the entire repertoire of nonlinear behaviors known to date. Several …

… Which “universal” features share apparently different complex systems? The behavior of
physical systems close to critical points may answer this question. It is well knotm, from the …

… A number of strategies for speeding up the iterative solution of linear systems have been
proposed in this chapter, more specifically transforming the matrix or the nonlinear problem to …

… nonlinear science 1 and, in particular, consider applications of these ideas to the challenging
problem … the characterization and understanding of complex systems rather than research …

… as a science of complex systems, pose a real challenge for … we must point out nonlinear
dynamics and chaos theory, … , engineering science, life sciences, and computer sciences. This …

… fields of complex systems sciences with strong links to nonlinear dynamics and statistical …
questions regarding the structural organization of nonlinear dynamics as well as the successful …