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The book presents nonlinear, chaotic and fractional dynamics, complex systems and networks, together with cutting-edge research on related topics. The fifteen chapters – written by leading scientists working in the areas of nonlinear, chaotic and fractional dynamics, as well as complex systems and networks – offer an extensive overview of cutting-edge research on a range of topics, including fundamental and applied research. These include but are not limited to aspects of synchronization in complex dynamical systems, universality features in systems with specific fractional dynamics, and chaotic scattering. As such, the book provides an excellent and timely snapshot of the current state of research, blending the insights and experiences of many prominent researchers.

Physics. --- Complexity, Computational. --- Vibration. --- Dynamical systems. --- Dynamics. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Vibration, Dynamical Systems, Control. --- Statistical Physics and Dynamical Systems. --- Complexity. --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Cycles --- Sound --- Complexity, Computational --- Electronic data processing --- Machine theory --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Statistical physics. --- Engineering. --- Construction --- Industrial arts --- Technology --- Mathematical statistics --- Statistical methods --- Computational complexity. --- Chaotic behavior in systems. --- Quantum theory. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Thermodynamics --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Nonlinear theories --- System theory

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This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This fourth volume collects authoritative chapters covering several applications of fractional calculus in physics, including classical and continuum mechanics.

Fractional calculus. --- 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

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Mathematics