Systems, 2016 Nearly all nontrivial real-world systems are nonlinear dynamical systems. Chaos describes certain nonlinear dynamical systems that have a very sensitive dependence on initial conditions.
Geoff Boeing
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A Case Study of Combined Application of Smart Materials in a Thermal Energy Harvester with Vibrating Action [PDF]
Journal of Applied and Computational Mechanics, 2021 This paper demonstrates a case study of a combined application of smart materials in a thermal energy harvester with vibrating action. The conceptual design of the harvester is based on a Shape Memory Alloy wire attached to the free end of a ...
Rosen Mitrev +4 more
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Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control. [PDF]
PLoS One, 2016 Brunton SL +3 more
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Discovering governing equations from data by sparse identification of nonlinear dynamical systems. [PDF]
Proc Natl Acad Sci U S A, 2016 Brunton SL, Proctor JL, Kutz JN.
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Lagrangian simulation and tracking of the mesoscale eddies contaminated by Fukushima-derived radionuclides [PDF]
Ocean Science, 2017 A Lagrangian methodology is developed to simulate, track, document and analyze the origin and history of water masses in ocean mesoscale features.
S. V. Prants +2 more
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Mathematics, 2022 The problem of constructing functional optimal observers (filters) for stochastic control systems with additive noises in discrete time are studied in this work.
Mikhail Kamenshchikov
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Lagrangian study of surface transport in the Kuroshio Extension area based on simulation of propagation of Fukushima-derived radionuclides [PDF]
Nonlinear Processes in Geophysics, 2014 Lagrangian approach is applied to study near-surface large-scale transport in the Kuroshio Extension area using a simulation with synthetic particles advected by AVISO altimetric velocity field.
S. V. Prants +2 more
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Dynamics of Nonlinear Systems [PDF]
The Scientific World Journal, 2014 In the last few decades, theory of dynamical systems has become a rapidly growing area of mathematics and attracted many researchers. This theory is an important and well-established branch of the modern mathematics. The reason lies in the fact that the study of dynamical systems not only has an important theoretical interest, but also is motivated by ...
Maoan Han +3 more
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Statistical analysis of Lagrangian transport of subtropical waters in the Japan Sea based on AVISO altimetry data [PDF]
Nonlinear Processes in Geophysics, 2017 Northward near-surface Lagrangian transport of subtropical waters in the Japan Sea frontal zone is simulated and analysed based on altimeter data for the period from 2 January 1993 to 15 June 2015.
S. V. Prants +2 more
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Creativity and nonlinear dynamical systems
Journal of Creativity, 2021 In a recent article entitled “The Order - Chaos Dynamic of Creativity,” Lambert (2020) applied a Complex Adaptive Systems (CAS) approach to historic paradoxes in creativity. He described dialectical tensions along different continua, namely knowledge vs.
David Schuldberg, Shan Guisinger
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