Coupled van der Pol–Duffing oscillators: Phase dynamics and structure of synchronization tongues

AP Kuznetsov, NV Stankevich, LV Turukina - Physica D: Nonlinear …, 2009 - Elsevier
Synchronization in the system of coupled non-identical non-isochronous van der Pol–
Duffing oscillators with inertial and dissipative coupling is discussed. Generalized Adler's …

Chaos synchronization between single and double wells Duffing–Van der Pol oscillators using active control

AN Njah, UE Vincent - Chaos, Solitons & Fractals, 2008 - Elsevier
This paper presents chaos synchronization between single and double wells Duffing–Van
der Pol (DVP) oscillators with Φ4 potential based on the active control technique. The …

Synchronization and bifurcation structures in coupled periodically forced non-identical Duffing oscillators

UE Vincent, A Kenfack - Physica Scripta, 2008 - iopscience.iop.org
We study the bifurcation structure and the synchronization of a double-well Duffing oscillator
coupled to a single-well one and subjected to periodic forces. Using the amplitudes and the …

Using the minimum description length principle for global reconstruction of dynamic systems from noisy time series

YI Molkov, DN Mukhin, EM Loskutov, AM Feigin… - Physical Review E …, 2009 - APS
An alternative approach to determining embedding dimension when reconstructing dynamic
systems from a noisy time series is proposed. The available techniques of determining …

The onset of chaos in nonautonomous dissipative dynamical systems: a low-order ocean-model case study

S Pierini, MD Chekroun, M Ghil - Nonlinear Processes in …, 2018 - npg.copernicus.org
A four-dimensional nonlinear spectral ocean model is used to study the transition to chaos
induced by periodic forcing in systems that are nonchaotic in the autonomous limit. The …

Strange attractors and chaos control in a Duffing–Van der Pol oscillator with two external periodic forces

FMM Kakmeni, S Bowong, C Tchawoua… - Journal of sound and …, 2004 - Elsevier
An anharmonic Duffing–Van der Pol oscillator with two external forces is considered. By
applying numerical results, strange attractors are presented and the chaotic behaviour is …

Behavior of a self-sustained electromechanical transducer and routes to chaos

JC Chedjou, K Kyamakya, I Moussa… - 2006 - asmedigitalcollection.asme.org
This paper studies the dynamics of a self-sustained electromechanical transducer. The
stability of fixed points in the linear response is examined. Their local bifurcations are …

Analysis of stochastic bifurcation and chaos in stochastic Duffing–van der Pol system via Chebyshev polynomial approximation

M Shao-Juan, X Wei, L Wei, F Tong - Chinese Physics, 2006 - iopscience.iop.org
The Chebyshev polynomial approximation is applied to investigate the stochastic period-
doubling bifurcation and chaos problems of a stochastic Duffing–van der Pol system with …

Nonlinear dynamics and synchronization of coupled electromechanical systems with multiple functions

R Yamapi, FMM Kakmeni, JBC Orou - Communications in Nonlinear …, 2007 - Elsevier
This paper deals with the nonlinear dynamics and synchronization of coupled
electromechanical systems with multiple functions, described by an electrical Duffing …

[HTML][HTML] К исследованию резонансов в системе двух уравнений Дюффинга--Ван дер поля

РЕ Кондрашов, АД Морозов - Russian Journal of Nonlinear …, 2010 - cyberleninka.ru
Рассматривается задача о взаимодействии двух уравнений Дюффинга--Ван дер Поля,
близких к нелинейным интегрируемым. Выводятся усредненные системы …