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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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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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A New Fractional-Order Map with Infinite Number of Equilibria and Its Encryption Application
Complexity, 2022 The study of the chaotic dynamics in fractional-order discrete-time systems has received great attention over the last years. Some efforts have been also devoted to analyze fractional maps with special features.
Ahlem Gasri +6 more
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Inference for nonlinear dynamical systems [PDF]
Proceedings of the National Academy of Sciences, 2006 Nonlinear stochastic dynamical systems are widely used to model systems across the sciences and engineering. Such models are natural to formulate and can be analyzed mathematically and numerically. However, difficulties associated with inference from time-series data about unknown parameters in these models have been a constraint on their application ...
E L, Ionides, C, Bretó, A A, King
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