Observation of many bifurcation sequences in a driven piecewise-linear circuit

A simple driven piecewise-linear circuit, which exhibits an immense variety of bifurcation sequences, is studied experimentally. Period doubling, period adding and window in chaos regime are observed. Also, quasiperiodicity and intermittency is reported. In addition, at certain parameters equal periodic bifurcation, hysteresis and coexistence of attractors have also been observed. The main features are discussed with the aid of a phase diagram.

[1]  Jose Antonio Coarasa Perez,et al.  Evidence for universal chaotic behavior of a driven nonlinear oscillator , 1982 .

[2]  Lu Jiang,et al.  Equal periodic bifurcation in a real dissipative system , 1989 .

[3]  P. Linsay Period Doubling and Chaotic Behavior in a Driven Anharmonic Oscillator , 1981 .

[4]  M. Komuro Birth and death of the double scroll , 1985, IEEE Conference on Decision and Control.

[5]  Van Buskirk R,et al.  Observation of chaotic dynamics of coupled nonlinear oscillators. , 1985, Physical review. A, General physics.

[6]  Chaos in a four-variable piecewise-linear system of differential equations , 1988 .

[7]  Leon O. Chua,et al.  Linear and nonlinear circuits , 1987 .

[8]  B. Hess,et al.  Coexistence of three attractors and hysteresis jumps in a chaotic spinning top , 1990 .

[9]  Kunihiko Kaneko,et al.  Collapse of Tori and Genesis of Chaos in Dissipative Systems , 1986 .

[10]  Guangrong Qin,et al.  Rich bifurcation behaviors of the driven van der Pol oscillator , 1989 .

[11]  Chaotic feedback schemes of the silicon controlled rectifier , 1989 .

[12]  Shanmuganathan Rajasekar,et al.  Period-doubling bifurcations, chaos, phase-locking and devil's staircase in a Bonhoeffer–van der Pol oscillator , 1988 .

[13]  He,et al.  Studies of return maps, chaos, and phase-locked states in a current-driven Josephson-junction simulator. , 1985, Physical review. B, Condensed matter.

[14]  Leon O. Chua,et al.  Simplest chaotic nonautonomous circuit , 1984 .

[15]  L. Chua,et al.  Transfer maps and return maps for piecewise‐linear three‐region dynamical systems , 1987 .