Dynamics of three coupled van der Pol oscillators with application to circadian rhythms
From MaRDI portal
Publication:868081
DOI10.1016/j.cnsns.2005.08.002zbMath1120.34025OpenAlexW2159653980MaRDI QIDQ868081
Kevin Rompala, Howard Howland, Richard H. Rand
Publication date: 19 February 2007
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://hdl.handle.net/1813/2664
Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items (28)
Model containing coupled subsystems with oscillations of different types ⋮ Modal synchronization of coupled bistable van der Pol oscillators ⋮ A mechatronic scheme to stabilize oscillations ⋮ Stabilization of a cycle in a coupled mechanical system ⋮ Cycle mode in a coupled conservative system ⋮ Models and numerical schemes for generalized van der Pol equations ⋮ Synchronization analysis of coupled Lienard-type oscillators by averaging ⋮ Stability and bifurcation analysis in the delay-coupled nonlinear oscillators ⋮ Stabilizing oscillations of coupled conservative systems ⋮ Analysis of control relevant coupled nonlinear oscillatory systems ⋮ A mathematical model of circadian rhythms synchronization using fractional differential equations system of coupled van der Pol oscillators ⋮ Synchronization and multi-frequency oscillations in the low-dimensional chain of the self-oscillators ⋮ Stability and bifurcation analysis of delay coupled Van der Pol-Duffing oscillators ⋮ The Behavior of Synchronized Frequency in Weakly Coupled Nonidentical Periodic Oscillators ⋮ Stability and bifurcation analysis in the delay-coupled van der Pol oscillators ⋮ A new three-oscillator model for the heart system in the case of time delay and designing appropriate controller for its synchronization ⋮ Stabilization of oscillations in a periodic system by choosing appropriate couplings ⋮ Multiple Hopf bifurcations of three coupled van der Pol oscillators with delay ⋮ Weak and non-resonant double Hopf bifurcations in \(m\) coupled van der Pol oscillators with delay coupling ⋮ \(D_{3}\)-equivariant coupled advertising oscillators model ⋮ Dynamics of three coupled limit cycle oscillators with application to artificial intelligence ⋮ Accurate approximate analytical solutions for multi-degree-of-freedom coupled van der Pol-Duffing oscillators by homotopy analysis method ⋮ Oscillations and Synchronization in a System of Three Reactively Coupled Oscillators ⋮ Periodic model containing coupled subsystems with different types of oscillations ⋮ Pacemaker dynamics in the full Morris-Lecar model ⋮ Forced synchronization of periodic and aperiodic thermoacoustic oscillations: lock-in, bifurcations and open-loop control ⋮ MULTIRESONANCE AND ENHANCED SYNCHRONIZATION IN STOCHASTICALLY COUPLED RATCHETS ⋮ Fractional oscillator equation: analytical solution and algorithm for its approximate computation
Uses Software
Cites Work
This page was built for publication: Dynamics of three coupled van der Pol oscillators with application to circadian rhythms
