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Certain problems in the theory of stability of motion in the whole
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The article was published on 1965-01-01 and is currently open access. It has received 16 citations till now.read more
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Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities
TL;DR: Foundations of Theory of Differential Equations with Discontinuous Right-Hand Sides Auxiliary Algebraic Statements on Solutions of Matrix Inequalities of a Special Type Dichotomy and Stability of Nonlinear Systems with Multiple Equilibria Stability of Sets of Pendulum Like Systems as mentioned in this paper.
Journal ArticleDOI
Analysis of biochemical phase shift oscillators by a harmonic balancing technique.
TL;DR: It is concluded that for the equations under study these techniques can be successfully employed to both find periodic solutions and to indicate those cases which can not oscillate.
Journal ArticleDOI
A survey on non-linear oscillations
Derek P. Atherton,H. T. Dorrah +1 more
TL;DR: A comprehensive review of work in the field of non-linear oscillations can be found in this paper, where a brief discussion of second-order systems is followed by a presentation of exact criteria, approximate analytical methods and computational techniques for limit cycles in single variable systems.
Dissertation
Input-Output Stability of Recurrent Neural Networks
TL;DR: The author demonstrates how the derived criteria can be numerically evaluated with modern techniques for quadratic optimization and some of the techniques are then illustrated for the example of using a fully recurrent network for learning the dynamics of a chaotic system.
Journal ArticleDOI
Boundary control, quiet boundaries, super-stability and super-instability
TL;DR: The paper explains the physical origin of super-stable behavior, introduces the new concept ofsuper-unstablebehavior, and points out that these regimes of behavior are intricately connected with the continuum model that is used.
Related Papers (5)
Finite time stability under perturbing forces and on product spaces
Leonard Weiss,E. F. Infante +1 more