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Delay Differential Equations: Recent Advances and New Directions cohesively presents contributions from leading experts on the theory and applications of functional and delay differential equations (DDEs). Researchers will benefit from a unique focus on theory, symbolic, and numerical methods, which illustrate how the concepts described can be applied to practical systems ranging from automotive engines to remote control over the Internet. Comprehensive coverage of recent advances paired with analytical contributions are included, in addition to computational techniques and illustrative examples of the application of current results drawn from biology, physics, mechanics, and control theory.

Delay differential equations. --- Differential equations, Partial. --- Microlocal analysis. --- Delay differential equations --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Functional differential equations. --- Delay equations (Differential equations) --- Delay functional differential equations --- Differential delay equations --- Differential equations --- Differential equations with lag --- Functional differential equations --- Retarded argument (Differential equations) --- Retarded differential equations --- Retarded functional differential equations --- Time-lag systems (Differential equations) --- Differential equations, Functional --- Delay equations --- Retarded argument --- Time-lag equations --- Engineering. --- Differential equations. --- System theory. --- Statistical physics. --- Dynamical systems. --- Computational intelligence. --- Vibration. --- Dynamics. --- Control engineering. --- Robotics. --- Mechatronics. --- Vibration, Dynamical Systems, Control. --- Statistical Physics, Dynamical Systems and Complexity. --- Computational Intelligence. --- Systems Theory, Control. --- Control, Robotics, Mechatronics. --- Ordinary Differential Equations. --- Mechanical engineering --- Microelectronics --- Microelectromechanical systems --- Automation --- Machine theory --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Programmable controllers --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Cycles --- Sound --- Intelligence, Computational --- Artificial intelligence --- Mathematical statistics --- Systems, Theory of --- Systems science --- Science --- 517.91 Differential equations --- Construction --- Industrial arts --- Technology --- Statistical methods --- Philosophy --- Soft computing --- Functional equations --- Systems theory. --- Differential Equations. --- Complex Systems.

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This first of three volumes from the inaugural NODYCON, held at the University of Rome, in February of 2019, presents papers devoted to Nonlinear Dynamics of Structures, Systems and Devices. The collection features both well-established streams of research as well as novel areas and emerging fields of investigation. Topics in Volume I include multi-scale dynamics: coexistence of multiple time/space scales, large system dynamics; dynamics of structures/industrial machines/equipment/facilities (e.g., cable transportation systems, suspension bridges, cranes, vehicles); nonlinear interactions: parametric vibrations with single/multi-frequency excitations, multiple external and autoparametric resonances in multi-dof systems; nonlinear system identification: parametric/nonparametric identification, data-driven identification; experimental dynamics: benchmark experiments, experimental methods, instrumentation techniques, measurements in harsh environments, experimental validation of nonlinear models; wave propagation, solitons, kinks, breathers; solution methods for pdes: Lie groups, Hirota’s method, perturbation methods, etc; nonlinear waves in media (granular materials, porous materials, materials with memory); composite structures: multi-layer, functionally graded, thermal loading; fluid/structure interaction; nonsmooth and retarded dynamics: systems with impacts, free play, stick-slip, friction hysteresis; nonlinear systems with time and/or space delays; stability of delay differential equations, differential-algebraic equations; space/time reduced-order modeling: enhanced discretization methods, center manifold reduction, nonlinear normal modes, normal forms; fractional-order systems; computational techniques: efficient algorithms, use of symbolic manipulators, integration of symbolic manipulation and numerical methods, use of parallel processors; and multibody dynamics: rigid and flexible multibody system dynamics, impact and contact mechanics, tire modeling, railroad vehicle dynamics, computational multibody dynamics.

Solid state physics. --- Mechanics. --- Mechanics, Applied. --- Statistical physics. --- Vibration. --- Dynamical systems. --- Dynamics. --- Computational complexity. --- Statics. --- Solid State Physics. --- Solid Mechanics. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Vibration, Dynamical Systems, Control. --- Complexity. --- Mechanical Statics and Structures. --- Engineering --- Mathematics --- Mechanics --- Mechanics, Analytic --- Physics --- Dynamics --- Equilibrium --- Complexity, Computational --- Electronic data processing --- Machine theory --- Dynamical systems --- Kinetics --- Force and energy --- Statics --- Cycles --- Sound --- Mathematical statistics --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Quantum theory --- Solids --- Statistical methods --- Nonlinear mechanics --- Condensed matter. --- Solids. --- Nonlinear Optics. --- Multibody systems. --- Nonlinear theories. --- Condensed Matter Physics. --- Multibody Systems and Mechanical Vibrations. --- Applied Dynamical Systems. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Multi-body systems --- Systems, Multibody --- Optics, Nonlinear --- Optics --- Lasers --- Solid state physics --- Transparent solids --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter

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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).

Optics. --- Electrodynamics. --- Vibration. --- Dynamical systems. --- Dynamics. --- Statistical physics. --- Computational complexity. --- Engineering design. --- Classical Electrodynamics. --- Vibration, Dynamical Systems, Control. --- Applications of Nonlinear Dynamics and Chaos Theory. --- Complexity. --- Engineering Design. --- Cycles --- Mechanics --- Sound --- Dynamics --- Physics --- Light --- Design, Engineering --- Engineering --- Industrial design --- Strains and stresses --- Complexity, Computational --- Electronic data processing --- Machine theory --- Mathematical statistics --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Statics --- Design --- Statistical methods --- Nonlinear mechanics

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Mathematics --- Classical mechanics. Field theory --- Optics. Quantum optics --- Statistical physics --- Electromagnetism. Ferromagnetism --- Mechanical properties of solids --- Electrical engineering --- Computer. Automation --- patroonherkenning --- complexiteit --- statistiek --- elektrodynamica --- fysica --- dynamica --- automatische regeltechniek --- optica