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This book explores recent developments in theoretical research and mathematical modelling of real-world complex systems, organized in four parts. The first part of the book is devoted to the mathematical tools for the design and analysis in engineering and social science study cases. We discuss the periodic evolutions in nonlinear chemical processes, vibro-compact systems and their behaviour, different types of metal-semiconductor self-assembled samples, made of silver nanowires and zinc oxide nanorods. The second part of the book is devoted to mathematical description and modelling of the critical events, climate change and robust emergency scales. In three chapters, we consider a climate-economy model with endogenous carbon intensity and the behaviour of Tehran Stock Exchange market under international sanctions. The third part of the book is devoted to fractional dynamic and fractional control problems. We discuss the novel operational matrix technique for variable-order fractional optimal control problems, the nonlinear variable-order time fractional convection-diffusion equation with generalized polynomials The fourth part of the book concerns solvability and inverse problems in differential and integro-differential equations. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering. It can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists and urban planners.

Discrete mathematics --- Mathematics --- Classical mechanics. Field theory --- toegepaste wiskunde --- grafentheorie --- systeemtheorie --- wiskunde --- dynamica

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System theory --- Dynamics. --- System theory. --- Mathematical models. --- Systems, Theory of --- Systems science --- Science --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Philosophy

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This third of three volumes includes papers from the second series of NODYCON, which was held virtually in February of 2021. The conference papers reflect a broad coverage of topics in nonlinear dynamics, ranging from traditional topics from established streams of research to those from relatively unexplored and emerging venues of research. These include Complex dynamics of COVID-19: modeling, prediction and control Nonlinear phenomena in bio-systems and eco-systems Energy harvesting MEMS/NEMS Multifunctional structures, materials and metamaterials Nonlinear waves Chaotic systems, stochasticity, and uncertainty .

Mathematics --- Classical mechanics. Field theory --- Mechanical properties of solids --- Applied physical engineering --- Artificial intelligence. Robotics. Simulation. Graphics --- patroonherkenning --- neuronale netwerken --- fuzzy logic --- cybernetica --- toegepaste mechanica --- KI (kunstmatige intelligentie) --- dynamica --- optica

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This first of three volumes includes papers from the second series of NODYCON, which was held virtually in February of 2021. The conference papers reflect a broad coverage of topics in nonlinear dynamics, ranging from traditional topics from established streams of research to those from relatively unexplored and emerging venues of research. These include Fluid-structure interactions Mechanical systems and structures Computational nonlinear dynamics Analytical techniques Bifurcation and dynamic instability Rotating systems Modal interactions and energy transfer Nonsmooth systems.

Mathematics --- Classical mechanics. Field theory --- Mechanical properties of solids --- Applied physical engineering --- Artificial intelligence. Robotics. Simulation. Graphics --- patroonherkenning --- neuronale netwerken --- fuzzy logic --- cybernetica --- toegepaste mechanica --- KI (kunstmatige intelligentie) --- dynamica --- optica

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Mechanics, Applied. --- Nonlinear mechanics. --- Nonlinear theories. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Mechanics, Nonlinear --- Mechanics, Analytic --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics