5 papers
High-frequency tuning of internal resonance and targeted energy transfer in a Van der Pol oscillator coupled to a nonlinear energy sink
Somnath Roy, Mattia Coccolo, Sayan Gupta +1
Targeted energy transfer (TET) from a Van der Pol oscillator coupled to a nonlinear energy sink (NES) is investigated under the action of a high-frequency external drive, which tun…
Collective vibrational resonance and mode selection in nonlinear resonator arrays
Somnath Roy, Mattia Coccolo, Anirban Ray +1
This article investigates how a uniform high frequency (HF) drive applied to each site of a weakly-coupled discrete nonlinear resonator array can modulate the onsite natural stiffn…
Parametric Autoresonance with Time-Delayed Control
Somnath Roy, Mattia Coccolo, Miguel A. F. Sanjuán
We investigate how a constant time delay influences a parametric autoresonant system. This is a nonlinear system driven by a parametrically chirped force with a negative delay-feed…
Energy-based theory of autoresonance in chains of coupled damped-driven generic oscillators
Ricardo Chacón, Faustino Palmero, Pedro J. Martínez +1
An energy-based theory of autoresonance in driven dissipative chains of coupled generic oscillators is discussed on the basis of a variational principle concerning the energy funct…
Kosambi-Cartan-Chern (KCC) Perspective on Chaos: Unveiling Hidden Attractors in Nonlinear Autonomous Systems
Somnath Roy, Anirban Ray, A Roy Chowdhury
This article confronts the formidable task of exploring chaos within hidden attractors in nonlinear 3-D autonomous systems, highlighting the lack of established analytical and nume…