A preliminary study into emergent behaviours in a lattice of interacting nonlinear resonators and oscillators

DOI10.1016/J.CNSNS.2010.09.011zbMath1221.34100OpenAlexW2009307263MaRDI QIDQ718623

D. Kharzeev

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://publications.aston.ac.uk/id/eprint/16220/1/CNSNS_paper.pdf

zbMATH Keywords

van der Pol oscillatorMEMSDuffing resonatoremergent collective behaviour

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Applications of dynamical systems (37N99)

Cites Work

• Nonlinear dynamics of a periodically driven Duffing resonator coupled to a van der Pol oscillator
• Synchronization of four coupled Van der Pol oscillators
• Dynamics of three coupled limit cycle oscillators with application to artificial intelligence
• Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements
• Bifurcation of periodic motions in two weakly coupled van der Pol oscillators
• On contraction analysis for non-linear systems
• Diffusive coupling, dissipation, and synchronization
• Dynamics of four coupled phase-only oscillators
• On partial contraction analysis for coupled nonlinear oscillators
• Synchronization In Lattices Of Coupled Oscillators With Neumann /Periodic Boundary Conditions
• THE RESPONSE OF A NONLINEAR SYSTEM WITH A NONSEMISIMPLE ONE-TO-ONE RESONANCE TO A COMBINATION PARAMETRIC RESONANCE
• A Model of Two Nonlinear Coupled Oscillators for the Study of Heartbeat Dynamics
• Synchronization in a Lattice of Coupled van der Pol Systems
• Synchronization in lattices of coupled oscillators with various boundary conditions

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