Nonlinear Oscillations

By Ivana Kovacic. 2020

2,282 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/39723e0fec1a49519d043ed0cffef2499450b1f8

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In Control and Systems Engineering

Citations in the corpus

A primer on resurgent transseries and their asymptotics (2018, background): “This fascinating story is developed at length within the setting of KAM theory, to which we refer the reader to [138, 204] and references therein—the goal of this paragraph was simply to point out how there are countless interesting links between the theory of resurgence and that of dynamical system”
Turing Instability and Turing–Hopf Bifurcation in Diffusive Schnakenberg Systems with Gene Expression Time Delay (2018, methodology): “With the help of analysis in [1, Section 4], the results in [8] can be directly applied to analyzing the equation (3.”
Deep learning for universal linear embeddings of nonlinear dynamics (2017, background): “(1), including fixed points, periodic orbits, and attractors.”
Generalizing Koopman Theory to Allow for Inputs and Control (2016, methodology): “Then, the vector field f is augmented with a simple ODE, ṫ = 1 [15].”
Data-driven discovery of Koopman eigenfunctions for control (2017, background): “This operatortheoretic perspective complements the more standard geometric [21] and probabilistic [17,18] perspectives.”
Primary resonance analysis and vibration suppression for the harmonically excited nonlinear suspension system using a pair of symmetric viscoelastic buffers (2018, neutral): “the steady-state motions are asymptotically stable [36].”
Formulation of the normal form of Turing-Hopf bifurcation in partial functional differential equations (2020, methodology): “By [21] and [28], there are four different topological structures for (3.”