22 citations · 27 across the 6 of their papers we have counts for
7 papers
Large deviations in presence of small noise for delay differential equations at an instability
Nishanth Lingala
We consider delay differential equations (DDE) that are on the verge of an instability, i.e. the characteristic equation for the linearized equation has one root as zero and all ot…
Exponentially-ergodic Markovian noise perturbations of delay differential equations at Hopf bifurcation
Nishanth Lingala, Navaratnam Sri Namachchivaya, Volker Wihstutz
We consider noise perturbations of delay differential equations (DDE) experiencing Hopf bifurcation. The noise is assumed to be exponentially ergodic, i.e. transition density conve…
Random Perturbations of a Periodically Driven Nonlinear Oscillator: Escape from a resonance zone
Nishanth Lingala, Navaratnam Sri Namachchivaya, Ilya Pavlyukevich
The phase space for a periodically driven nonlinear oscillator consists of many resonance zones. Let the strength of periodic excitation and the strength of the damping be indexed…
Approximation of delay differential equations at the verge of instability by equations without delay
Nishanth Lingala
We consider linear delay differential equations at the verge of Hopf instability, i.e. a pair of roots of the characteristic equation are on the imaginary axis of the complex plane…
Perturbations of linear delay differential equations at the verge of instability
Nishanth Lingala, N. Sri Namachchivaya
The characteristic equation for a linear delay differential equation (DDE) has countably infinite roots on the complex plane. This paper considers linear DDEs that are on the verge…
Nonlinear and additive white noise perturbations of linear delay differential equations at the verge of instability: an averaging approach
Nishanth Lingala, N. Sri Namachchivaya
The characteristic equation for a linear delay differential equation (DDE) has countably infinite roots on the complex plane. We deal with linear DDEs that are on the verge of inst…