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This book presents recent developments in nonlinear and complex systems. It provides recent theoretic developments and new techniques based on a nonlinear dynamical systems approach that can be used to model and understand complex behavior in nonlinear dynamical systems. It covers information theory, relativistic chaotic dynamics, data analysis, relativistic chaotic dynamics, solvability issues in integro-differential equations, and inverse problems for parabolic differential equations, synchronization and chaotic transient. Presents new concepts for understanding and modeling complex systems.

Mathematics --- Mathematical physics --- Classical mechanics. Field theory --- Applied physical engineering --- Engineering sciences. Technology --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- neuronale netwerken --- fuzzy logic --- ICT (informatie- en communicatietechnieken) --- cybernetica --- economie --- wiskunde --- KI (kunstmatige intelligentie) --- ingenieurswetenschappen --- fysica --- dynamica --- AI (artificiële intelligentie)

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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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This third of three volumes from the inaugural NODYCON, held at the University of Rome, in February of 2019, presents papers devoted to New Trends in Nonlinear Dynamics. The collection features both well-established streams of research as well as novel areas and emerging fields of investigation. Topics in Volume III include NEMS/MEMS and nanomaterials: multi-sensors, actuators exploiting nonlinear working principles; adaptive, multifunctional, and meta material structures; nanocomposite structures (e.g., carbon nanotube/polymer composites, composites with functionalized nanoparticles); 0D,1D,2D,3D nanostructures; biomechanics applications, DNA modeling, walking dynamics, heart dynamics, neurodynamics, capsule robots, jellyfish-like robots, nanorobots; cryptography based on chaotic maps; ecosystem dynamics, social media dynamics (user behavior dynamics in multi-messages social hotspots, prediction models), financial engineering, complexity in engineering; and network dynamics (multi-agent systems, leader-follower dynamics, swarm dynamics, biological networks dynamics).

Mathematics --- Classical mechanics. Field theory --- Optics. Quantum optics --- Statistical physics --- Electromagnetism. Ferromagnetism --- Mechanical properties of solids --- Materials sciences --- Production management --- Computer. Automation --- patroonherkenning --- complexiteit --- DFMA (design for manufacture and assembly) --- statistiek --- elektrodynamica --- fysica --- dynamica --- optica

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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 --- AI (artificiële intelligentie)

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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 --- AI (artificiële intelligentie)