Investigating the effects of introducing nonlinear dynamical processes into digital musical interfaces [PDF]
, 2015 This paper presents the results of a study that explores the effects of including nonlinear dynamical processes in the design of digital musical interfaces.
Paul Mulholland +8 more
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Supression of mechanical oscillations in a nonlinear systems with restriction
Lietuvos Matematikos Rinkinys, 2023 The application of the dynamical dampers in the mechanical systems, when the sources of stimulation are impossible to abolish, is one of the ways to fight against the harmful vibrations.
Genovaitė Zaksienė
doaj +3 more sources
Time-averaging axion-like interacting scalar fields models
European Physical Journal C: Particles and Fields, 2021 In this paper, we study a cosmological model inspired in the axionic matter with two canonical scalar fields $$\phi _1$$ ϕ 1 and $$\phi _2$$ ϕ 2 interacting through a term added to its potential. Introducing novel dynamical variables, and a dimensionless
Saikat Chakraborty +3 more
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Reachability of Nonlinear Systems With Unknown Dynamics
IEEE Transactions on Automatic Control, 2023 Determining the reachable set for a given nonlinear control system is crucial for system control and planning. However, computing such a set is impossible if the system's dynamics are not fully known. This paper is motivated by a scenario where a system suffers an adverse event mid-operation, resulting in a substantial change to the system's dynamics ...
Taha Shafa, Melkior Ornik
openaire +2 more sources
An upper bound for validity limits of asymptotic analytical approaches based on normal form theory [PDF]
, 2012 Perturbation methods are routinely used in all fields of applied mathematics where analytical solutions for nonlinear dynamical systems are searched.
LAMARQUE, Claude-Henri +2 more
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Isospectral integrability analysis of dynamical systems on discrete manifolds [PDF]
Opuscula Mathematica, 2012 It is shown how functional-analytic gradient-holonomic structures can be used for an isospectral integrability analysis of nonlinear dynamical systems on discrete manifolds. The approach developed is applied to obtain detailed proofs of the integrability
Denis Blackmore +2 more
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Model-Free Geometric Fault Detection and Isolation for Nonlinear Systems Using Koopman Operator
IEEE Access, 2022 This paper presents a model-free fault detection and isolation (FDI) method for nonlinear dynamical systems using Koopman operator theory and linear geometric technique.
Mohammadhosein Bakhtiaridoust +3 more
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Dark Type Dynamical Systems: The Integrability Algorithm and Applications
Algorithms, 2022 Based on a devised gradient-holonomic integrability testing algorithm, we analyze a class of dark type nonlinear dynamical systems on spatially one-dimensional functional manifolds possessing hidden symmetry properties and allowing their linearization on
Yarema A. Prykarpatsky +3 more
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Nonsquare Spectral Factorization for Nonlinear Control Systems [PDF]
, 2005 This paper considers nonsquare spectral factorization of nonlinear input affine state space systems in continuous time. More specifically, we obtain a parametrization of nonsquare spectral factors in terms of invariant Lagrangian submanifolds and ...
Schaft, Arjan J. van der +4 more
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Controlling Stochastic Sensitivity by Feedback Regulators in Nonlinear Dynamical Systems with Incomplete Information [PDF]
, 2021 The problem of synthesis of stochastic sensitivity for equilibrium modes in nonlinear randomly forced dynamical systems with incomplete information is considered.
Bashkirtseva, I., Irina Bashkirtseva
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