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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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Complex systems with symmetry arise in many fields, at various length scales, including financial markets, social, transportation, telecommunication and power grid networks, world and country economies, ecosystems, molecular dynamics, immunology, living organisms, computational systems, and celestial and continuum mechanics. The emergence of new orders and structures in complex systems means symmetry breaking and transitions from unstable to stable states. Modeling complexity has attracted many researchers from different areas, dealing both with theoretical concepts and practical applications. This Special Issue fills the gap between the theory of symmetry-based dynamics and its application to model and analyze complex systems.

multi-agent system (MAS) --- reinforcement learning (RL) --- mobile robots --- function approximation --- Opportunistic complex social network --- cooperative --- neighbor node --- probability model --- social relationship --- adapted PageRank algorithm --- PageRank vector --- networks centrality --- multiplex networks --- biplex networks --- divided difference --- radius of convergence --- Kung–Traub method --- local convergence --- Lipschitz constant --- Banach space --- fractional calculus --- Caputo derivative --- generalized Fourier law --- Laplace transform --- Fourier transform --- Mittag–Leffler function --- non-Fourier heat conduction --- Mei symmetry --- conserved quantity --- adiabatic invariant --- quasi-fractional dynamical system --- non-standard Lagrangians --- complex systems --- symmetry-breaking --- bifurcation theory --- complex networks --- nonlinear dynamical systems

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In the last two decades, fractional (or non integer) differentiation has played a very important role in various fields such as mechanics, electricity, chemistry, biology, economics, control theory and signal and image processing. For example, in the last three fields, some important considerations such as modelling, curve fitting, filtering, pattern recognition, edge detection, identification, stability, controllability, observability and robustness are now linked to long-range dependence phenomena. Similar progress has been made in other fields listed here. The scope of the book is thus to present the state of the art in the study of fractional systems and the application of fractional differentiation. As this volume covers recent applications of fractional calculus, it will be of interest to engineers, scientists, and applied mathematicians.

Fractional calculus. --- Calculus. --- Analysis (Mathematics) --- Fluxions (Mathematics) --- Infinitesimal calculus --- Limits (Mathematics) --- Mathematical analysis --- Functions --- Geometry, Infinitesimal --- Derivatives and integrals, Fractional --- Differentiation of arbitrary order, Integration and --- Differintegration, Generalized --- Fractional derivatives and integrals --- Generalized calculus --- Generalized differintegration --- Integrals, Fractional derivatives and --- Integration and differentiation of arbitrary order --- Calculus --- Engineering mathematics. --- Computer simulation. --- System theory. --- Mechanical engineering. --- Computer engineering. --- Mathematical and Computational Engineering. --- Simulation and Modeling. --- Systems Theory, Control. --- Theoretical, Mathematical and Computational Physics. --- Mechanical Engineering. --- Electrical Engineering. --- Systems, Theory of --- Systems science --- Science --- Computers --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Simulation methods --- Model-integrated computing --- Engineering analysis --- Philosophy --- Design and construction --- Mathematics --- Systems theory. --- Applied mathematics. --- Mathematical physics. --- Electrical engineering. --- Electric engineering --- Physical mathematics --- Physics

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In recent years fractional calculus has played an important role in various fields such as mechanics, electricity, chemistry, biology, economics, modeling, identification, control theory and signal processing. The scope of this book is to present the state of the art in the study of fractional systems and the application of fractional differentiation. Furthermore, the manufacture of nanowires is important for the design of nanosensors and the development of high-yield thin films is vital in procuring clean solar energy. This wide range of applications is of interest to engineers, physicists and mathematicians.

Nanotechnology -- Congresses. --- Nanotechnology -- Mathematical models -- Congresses. --- Nanotechnology. --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Civil Engineering --- Applied Mathematics --- Fractional calculus. --- Molecular technology --- Nanoscale technology --- Derivatives and integrals, Fractional --- Differentiation of arbitrary order, Integration and --- Differintegration, Generalized --- Fractional derivatives and integrals --- Generalized calculus --- Generalized differintegration --- Integrals, Fractional derivatives and --- Integration and differentiation of arbitrary order --- Engineering. --- Computer simulation. --- System theory. --- Applied mathematics. --- Engineering mathematics. --- Mechanical engineering. --- Electrical engineering. --- Appl.Mathematics/Computational Methods of Engineering. --- Mechanical Engineering. --- Electrical Engineering. --- Systems Theory, Control. --- Simulation and Modeling. --- High technology --- Calculus --- Computer engineering. --- Systems theory. --- Mathematical and Computational Engineering. --- Engineering, Mechanical --- Engineering --- Machinery --- Steam engineering --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Simulation methods --- Model-integrated computing --- Computers --- Engineering analysis --- Mathematical analysis --- Design and construction --- Mathematics --- Systems, Theory of --- Systems science --- Science --- Electric engineering --- Philosophy

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Engineering practice often has to deal with complex systems of multiple variable and multiple parameter models almost always with strong non-linear coupling. The conventional analytical techniques-based approaches for describing and predicting the behaviour of such systems in many cases are doomed to failure from the outset, even in the phase of the construction of a more or less appropriate mathematical model. The best paradigm exemplifying this situation may be the classic perturbation theory: the less significant the achievable correction, the more work has to be invested to obtain it. A further important component of machine intelligence is a kind of “structural uniformity” giving room and possibility to model arbitrary particular details a priori not specified and unknown. This idea is similar to the ready-to-wear industry, which introduced products, which can be slightly modified later on in contrast to tailor-made creations aiming at maximum accuracy from the beginning. These subsequent corrections can be carried out by machines automatically. This “learning ability” is a key element of machine intelligence. The past decade confirmed that the view of typical components of the present soft computing as fuzzy logic, neural computing, evolutionary computation and probabilistic reasoning are of complementary nature and that the best results can be applied by their combined application. Today, the two complementary branches of Machine Intelligence, that is, Artificial Intelligence and Computational Intelligence serve as the basis of Intelligent Engineering Systems. The huge number of scientific results published in Journal and conference proceedings worldwide substantiates this statement. The present book contains several articles taking different viewpoints in the field of intelligent systems.

Information Technology --- Computer Science (Hardware & Networks) --- Conscious automata. --- Cybernetics. --- Intelligent control systems. --- Engineering & Applied Sciences --- Computer Science --- Computational intelligence. --- Artificial intelligence. --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Intelligence, Computational --- Computer science. --- Computers. --- System theory. --- Engineering. --- Industrial engineering. --- Production engineering. --- Computer Science. --- Computer Science, general. --- Engineering, general. --- Artificial Intelligence (incl. Robotics). --- Computing Methodologies. --- Industrial and Production Engineering. --- Systems Theory, Control. --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Artificial intelligence --- Soft computing --- Systems theory. --- Artificial Intelligence. --- Management engineering --- Simplification in industry --- Engineering --- Value analysis (Cost control) --- Construction --- Industrial arts --- Technology --- Informatics --- Science --- Systems, Theory of --- Systems science --- Manufacturing engineering --- Process engineering --- Industrial engineering --- Mechanical engineering --- Philosophy