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nlin.CD2020
Bifurcations and Amplitude Death from Distributed Delays in Coupled Landau-Stuart Oscillators and a Chaotic Parametrically Forced van der Pol-Rayleigh System
S. Roy Choudhury, Ryan Roopnarain
Distributed delays modeled by 'weak generic kernels' are introduced in the well-known coupled Landau-Stuart system, as well as a chaotic van der Pol-Rayleigh system with parametric…
nlin.CD2020
Delay Effects on Amplitude Death, Oscillation Death, and Renewed Limit Cycle Behavior in Cyclically Coupled Oscillators
Ryan Roopnarain, S. Roy Choudhury
The effects of a distributed 'weak generic kernel' delay on cyclically coupled limit cycle and chaotic oscillators are considered. For coupled Van der Pol oscillators (and in fact,…
math.CA2020★ 1 cited
Novel Lagrangian Hierarchies, Generalized Variational ODE's and Families of Regular and Embedded Solitary Waves
Ranses Alfonso-Rodriguez, S. Roy Choudhury
Hierarchies of Lagrangians of degree two, each only partly determined by the choice of leading terms and with some coefficients remaining free, are considered. The free coefficient…