Coupled Van der Pol-Duffing oscillators: phase dynamics and structure of synchronization tongues

From MaRDI portal
Publication:833191

DOI10.1016/j.physd.2009.04.001zbMath1191.34068OpenAlexW2010363060MaRDI QIDQ833191

Ludmila V. Turukina, Alexander P. Kuznetsov, Nataliya V. Stankevich

Publication date: 12 August 2009

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2009.04.001




Related Items

Logistic-like and Gauss coupled maps: the born of period-adding cascadesA paradigmatic system to study the transition from zero/Hopf to double-zero/Hopf bifurcationQuadrature Synchronization of a Pair of Van der Pol Oscillators Coupled by NEMS Varactor: A Theoretical AnalysisVibration analog of a superradiant quantum transitionCoupled nonlinear oscillators: metamorphoses of resonance curvesImpact of viscoelastic coupling on the synchronization of symmetric and asymmetric self-sustained oscillatorsMaster-slave synchronization in the Duffing-van der Pol and \(\Phi^6\) Duffing oscillatorsSynchronization and multi-frequency oscillations in the low-dimensional chain of the self-oscillatorsStability and bifurcation analysis of delay coupled Van der Pol-Duffing oscillatorsReconstruction of the coupling between solar proxies: when approaches based on Kuramoto and Van der Pol models agree with each otherThe Behavior of Synchronized Frequency in Weakly Coupled Nonidentical Periodic OscillatorsExperiment on bifurcation and chaos in coupled anisochronous self-excited systems: case of two coupled van der Pol-Duffing oscillatorsUnnamed ItemPerpetual points and hidden attractors in dynamical systemsAnalytical approximate periodic solutions for two-degree-of-freedom coupled van der Pol-Duffing oscillators by extended homotopy analysis methodOn the road towards multidimensional toriAccurate approximate analytical solutions for multi-degree-of-freedom coupled van der Pol-Duffing oscillators by homotopy analysis methodQuasi-periodic bifurcations and ``amplitude death in low-dimensional ensemble of van der Pol oscillatorsDe-synchronization and chaos in two inductively coupled Van der Pol auto-generatorsOscillations and Synchronization in a System of Three Reactively Coupled OscillatorsForced synchronization of quasiperiodic oscillationsCoupled Van der Pol oscillator with non-integer order connectionPhase locking of two limit cycle oscillators with delay couplingLag synchronization in coupled multistable van der Pol-Duffing oscillatorsQuantum synchronization of two Van der Pol oscillatorsBifurcation, amplitude death and oscillation patterns in a system of three coupled van der Pol oscillators with diffusively delayed velocity couplingPeculiarities of the transitions to synchronization in coupled systems with amplitude deathReversal of period doubling, multistability and symmetry breaking aspects for a system composed of a van der Pol oscillator coupled to a Duffing oscillator



Cites Work