Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 4

Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of science and technology-and even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a key role.his fourth volume concentrates on reviewing further relevant contemporary applications of chaotic and nonlinear dynamics as they apply to the various cuttingedge branches of science and engineering. This encompasses, but is not limited to, topics such as synchronization in complex networks and chaotic circuits, time series analysis, ecological and biological patterns, stochastic control theory and vibrations in mechanical systems.Featuring contributions from active and leading research groups, this collection is ideal both as a reference and as a 'recipe book' full of tried and tested, successful engineering applications.

Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of science and technology—and even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a key role.his fourth volume concentrates on reviewing further relevant contemporary applications of chaotic and nonlinear dynamics as they apply to the various cuttingedge branches of science and engineering. This encompasses, but is not limited to, topics such as synchronization in complex networks and chaotic circuits, time series analysis, ecological and biological patterns, stochastic control theory and vibrations in mechanical systems.Featuring contributions from active and leading research groups, this collection is ideal both as a reference and as a ‘recipe book’ full of tried and tested, successful engineering applications.

Section 1: Nonlinearity in Transport, Mechanical Models and Hydrodynamics.- Microscopic models for vibrations in mechanical systems under equilibrium and non-equilibrium conditions.- Chaos, Transport and Diffusion.- From Boltzmann Equation to exact hydrodynamics.- Section 2: Chaos, Synchronization and Complex Networks.- Dynamics of Cluster Synchronization in Modular Networks: Implications for Structural and Functional Networks.- Synchronous motions across the instrumental climate record.- Application of random matrix theory to complex networks.- Section 3: Attractor reconstructions and Ecology/Biological Patterns.- Time-delay finding measures and attractorReconstruction.- Turing and non-Turing patterns in two-dimensional prey-predator models.Malay Banerjee.- Section 4: Chaos and Field Programmable Gate Array.-  An Introduction to Field Programmable Gate Arrays using Chaotic Systems.