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Nonlinear Dynamics, An International Journal of Nonlinear Dynamics and Chaos in Engineering Systems is a monthly peer-reviewed scientific journal covering all nonlinear dynamic phenomena associated with mechanical, structural, civil, aeronautical, ocean, electrical, and control systems.
As a senior fellow of the UK Science and Engineering Research Council (1988–93) he was the founder and director of the UCL Centre for Nonlinear Dynamics and its Applications (1991-2002) which was renowned for its application of advanced mathematics to practical problems in (for example) off-shore engineering.
Sparse identification of nonlinear dynamics (SINDy) is a data-driven algorithm for obtaining dynamical systems from data. [1] Given a series of snapshots of a dynamical system and its corresponding time derivatives, SINDy performs a sparsity-promoting regression (such as LASSO) on a library of nonlinear candidate functions of the snapshots against the derivatives to find the governing equations.
Nonlinear Dynamics. Models of bifurcation and chaos by Elmer G. Wiens; Sci.Nonlinear FAQ 2.0 (Sept 2003) provides definitions, explanations and resources related to nonlinear science; Online books or lecture notes. Geometrical theory of dynamical systems. Nils Berglund's lecture notes for a course at ETH at the advanced undergraduate level.
As suggested in Lorenz's book entitled The Essence of Chaos, published in 1993, [6]: 8 "sensitive dependence can serve as an acceptable definition of chaos". In the same book, Lorenz defined the butterfly effect as: "The phenomenon that a small alteration in the state of a dynamical system will cause subsequent states to differ greatly from the ...
Ali Hasan Nayfeh (Arabic: علي نايفة) (21 December 1933 – 27 March 2017) [1] was a Palestinian-Jordanian mathematician, mechanical engineer and physicist. [2] He is regarded as the most influential scholar and scientist in the area of applied nonlinear dynamics in mechanics and engineering. [3]
In 1992, Mikhail accepted a faculty position at the Institute for Nonlinear Science at UCSD in La Jolla, CA. In the same year a book with Gaponov-Grekhov, Nonlinearities in Action is published. His first book written in the United States, Introduction to Nonlinear Dynamics for Physicists came out in 1993.
In mathematics and science, a nonlinear system (or a non-linear system) is a system in which the change of the output is not proportional to the change of the input. [1] [2] Nonlinear problems are of interest to engineers, biologists, [3] [4] [5] physicists, [6] [7] mathematicians, and many other scientists since most systems are inherently nonlinear in nature. [8]