Mathematical Modeling Approach from Nonlinear Dynamics to Complex Systems

Dr. Elbert E. N. Macau is a Professor within the Laboratory for Applied Mathematics and Computing (LAC), National Institute for Space Research, Sao Jose dos Campos, Brazil. He is an internationally recognized researcher with expertise in Nonlinear Dynamics, Dynamics, Nonlinear Systems, Mathematical Modelling, Chaos Theory, and Applied Mathematics.

• Preface.- An overview of the generalized Gardner equation: symmetry groups and conservation laws; Maria S. Bruzon.- On symmetries and conservation laws for a generalized Fisher equation; Maria Luz Gandarias, Maria Rosa.- From Complex Systems theory to Disasters Risk Reduction Management; Leonardo B. L. Santos, Luciana R. Londe, Tiago Carvalho, Daniel S. Menasche.- Fireflies: a paradigm in synchronization; G. M. Ramírez-Ávila, Juergen Kurths, Jean-Louis Deneubourg.- An investigation of the chaotic transient for a boundary crisis in the Fermi-Ulam model; Edson D. Leonel, Murilo Ferrioli Marques.- Tunable orbits influence in a driven stadium-like billiard; Andre Livorati.- Transport barriers in nonintegrable dynamical systems; Marisa Roberto.- Barriers in Two-dimensional and Multidimensional Systems; Erico Rempel, Abraham C. –L Chian.- New Trends in Chaos-based Communications and Signal Processing; Marcio Eisencraft.- Complex Networks and Centrality; Francisco Rodrigues.- Characterizing flows by complex network methods; Reik Donner.