Data-driven spectral submanifold reduction produces low-dimensional delay-free ODE models for nonlinear delayed dynamical systems from measurements alone.
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3 Pith papers cite this work. Polarity classification is still indexing.
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Explicit computational formulas for critical normal form coefficients of all codimension-one bifurcations of limit cycles in DDEs are derived and implemented numerically using a characteristic operator.
Proves LDP for stationary solutions of SFDEs with infinite delay and extends to invariant measures via contraction principle.
citing papers explorer
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Data-Driven Reduced Modeling of Delayed Dynamical Systems via Spectral Submanifolds
Data-driven spectral submanifold reduction produces low-dimensional delay-free ODE models for nonlinear delayed dynamical systems from measurements alone.
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Numerical Periodic Normalization at Codim 1 Bifurcations of Limit Cycles in DDEs
Explicit computational formulas for critical normal form coefficients of all codimension-one bifurcations of limit cycles in DDEs are derived and implemented numerically using a characteristic operator.
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Large deviation principle for the stationary solutions of stochastic functional differential equations with infinite delay
Proves LDP for stationary solutions of SFDEs with infinite delay and extends to invariant measures via contraction principle.