Hyperchaos and bifurcations in a driven Van der Pol–Duffing oscillator circuit

被引：1

作者：

Vincent U.E. ^{[1
,2
,7
]}

Nana Nbendjo B.R. ^{[3
]}

Ajayi A.A. ^{[4
,5
]}

Njah A.N. ^{[6
]}

McClintock P.V.E. ^{[2
,7
]}

机构：

[1] Department of Physical Sciences, Redeemer’s University, Redemption City

[2] Department of Physics, Lancaster University, Lancaster

[3] Laboratory of Modeling and Simulation in Engineering, Biomimetism and Prototypes, Faculty of Sciences, University of Yaounde I, Yaoundé

[4] Department of Physics, University of Agriculture Abeokuta, P.M.B. 2240, Abeokuta

[5] Department of Physics, Federal College of Education, Akoka, Yaba, Lagos

[6] Department of Physics, University of Lagos, Akoka, Lagos

[7] Department of Physics, Lancaster University, Lancaster

来源：

International Journal of Dynamics and Control | 2015年 / 3卷 / 4期

关键词：

Chaos; Driven Van der–Duffing oscillators; Hyperchaos; Strange attractors; Transient chaos;

D O I：

10.1007/s40435-014-0118-1

中图分类号：

学科分类号：

摘要：

We investigate the dynamics of a driven Van der Pol–Duffing oscillator circuit and show the existence of higher-dimensional chaotic orbits (or hyperchaos), transient chaos, strange-nonchaotic attractors, as well as quasiperiodic orbits born from Hopf bifurcating orbits. By computing all the Lyapunov exponent spectra, scanning a wide range of the driving frequency and driving amplitude parameter space, we explore in two-parameter space the regimes of different dynamical behaviours. © 2014, Springer-Verlag Berlin Heidelberg.

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页码：363 / 370

页数：7

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