In Developments in Agricultural Engineering, 2001 (a) Duffing's equation. Nonlinear Dynamics, aka “Chaos Theory”, is most often associated with the “Butterfly Effect”, but frankly that idea misses the point completely. More recently, certain input-independent model reduction methods such as balanced truncation and the iterative rational Krylov algorithm (IRKA) have been extended to quadratic-bilinear systems. Chaos may be unpredictable, but it is also endlessly creative. In nonlinear dynamics, speaking about a dynamical system usually means to speak about an abstract mathematical system which is a model for such an entity. Nonlinear multi-scale dynamics modeling of piezoceramic energy harvesters with ferroelectric and ferroelastic hysteresis Authors (first, second and last of 5) A pendulum is an example for a dynamical system. In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists because most systems are inherently nonlinear in nature. The aim of the minisymposium is to bring together experts and researchers in nonlinear dynamics of oscillatory systems and to discuss new developments, ideas and methods in this important and dynamic field. Non-linear dynamics has its origins in the famous "three body problem" and the attempts, at the turn of the century, by the great French mathematician and physicist, Henri Poincare, to calculate the motion of a planet around the sun when under the perturbing influence of a second nearby planet or moon. The non-linearity is typically observed only at very high light intensities (values of atomic electric fields, typically 10 8 V/m) such as those provided by lasers. Mathematically, a dynamical system is defined by its state and by its dynamics. Other methods for nonlinear model reduction use data-driven approaches via dynamic mode decomposition (DMD) and Operator Inference. Nonlinear Dynamics and Chaos in Agricultural Systems. Nonlinear optics (NLO) is the branch of optics that describes the behaviour of light in nonlinear media, that is, media in which the polarization density P responds non-linearly to the electric field E of the light. Nonlinear Dynamics, aka Chaos Theory, studies the “Creative Power of Incompressible Dynamics”… Nonlinear partial differential equations (PDEs) are mathematical models for the time evolution of systems with infinitely many degrees of freedom. This non-linear forced oscillator is a model of a structure, which is driven by an external force that causes large elastic deformations. Chairs: Professor Vladimir Nekorkin Nonlinear Dynamics, a private company founded in 1989, started life developing 1D and 2D gel analysis software. Nonlinear oscillations are omnipresent in physics, biology, economics and other disciplines. Meng-Hsuan Tien awarded distinguished Presidential Fellowship Mechanical engineering graduate student Meng-Hsuan Tien is the most recent department student to receive The Ohio State University Graduate School’s Presidential Fellowship.


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