Modelling of coupled cross-flow/in-line vortex-induced vibrations using double Duffing and van der Pol oscillators
نویسندگان
چکیده
منابع مشابه
Bistable Phase Synchronization and Chaos in a System of Coupled Van Der Pol Duffing Oscillators
Analysis of numerical solutions for a system of two van der Pol–Duffing oscillators with nonlinear coupling showed that there exist chaotic switchings (occurring at irregular time intervals) between two oscillatory regimes differing by nearly time-constant phase shifts between the coupled subsystems. The analysis includes the investigation of bifurcations of the periodic motions corresponding t...
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Synchronization in the system of coupled non-identical nonisochronous Van fer Pol – Duffing oscillators with inertial and dissipative coupling is discussed. Generalized Adler’s equation is obtained and investigated in the presence of all relevant factors affecting the synchronization (nonisochronism of the oscillators, their nonidentity, coupling of the dissipative and inertial type). Character...
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Abstract. This paper investigates the synchronization and anti-synchronization behaviour of two identical double-hump Duffing-Van der Pol oscillator (DHDVP) evolving from different initial conditions using the active control technique based on the Lyapunov stability theory (LST) and the Routh-Hurwitz criteria (RHC). The designed controllers, with three different choices of the coefficient matri...
متن کاملDouble Hopf bifurcation in delayed van der Pol-Duffing equation
In this paper, we study dynamics in delayed van der Pol–Duffing equation, with particular attention focused on nonresonant double Hopf bifurcation. Both multiple time scales and center manifold reduction methods are applied to obtain the normal forms near a double Hopf critical point. A comparison between these two methods is given to show their equivalence. Bifurcations are classified in a two...
متن کاملSynchronization of two memristive coupled van der Pol oscillators
The objective of this paper is to explore the possibility to couple two van der Pol (vdP) oscillators via a resistance-capacitance (RC) network comprising a Ag-TiOx-Al memristive device. The coupling was mediated by connecting the gate terminals of two programmable unijunction transistors (PUTs) through the network. In the high resistance state (HRS) the memresistance was in the order of M lea...
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ژورنال
عنوان ژورنال: Ocean Engineering
سال: 2012
ISSN: 0029-8018
DOI: 10.1016/j.oceaneng.2012.06.025