Approximation schemes are developed to verify frequency inequalities guaranteeing absence of closed invariant contours in scalar nonlinear delay equations, demonstrated on Suarez-Schopf and Mackey-Glass models.
Spectral comparison of compound cocycle s generated by delay equations in Hilbert spaces
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2023 2verdicts
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Develops variational approximation of uniform Lyapunov exponents using adapted metrics on exterior products and applies it to obtain dimension bounds for attractors in delay equations.
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Frequency conditions for the global stability of nonlinear delay equations with several equilibria
Approximation schemes are developed to verify frequency inequalities guaranteeing absence of closed invariant contours in scalar nonlinear delay equations, demonstrated on Suarez-Schopf and Mackey-Glass models.
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Variational description of uniform Lyapunov exponents via adapted metrics on exterior products
Develops variational approximation of uniform Lyapunov exponents using adapted metrics on exterior products and applies it to obtain dimension bounds for attractors in delay equations.