Two continuous-time systems are used as case study for the aPBC--the forced van der Pol oscillator and Rossler system.
Forced van der Pol Oscillator. The forced van der Pol (vdP) oscillator is described by the nonlinear state space model (28):
On the other hand, it can be seen that for [epsilon] = 0.1 the motion of the
Van Der Pol oscillator is very nearly harmonic, exhibiting alternate compression and rarefaction of the density with a relatively small period [PHI] of about 6.3 [micro]s.
The
Van der Pol oscillator is a self-maintained electrical circuit made up of an Inductor (L), a capacitor initially charged with a capacitance (C) and a non-linear resistance (R); all of them connected in series as indicated in Fig.
Consider the
Van der Pol Oscillator problem [6, 50]
They include recurrence quantification analysis of bipolar disorder performed using a
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As a simple example, PLR can qualitatively analyze the behavior of an undriven
van der Pol oscillator, a simple nonlinear circuit consisting of a capacitor, an inductor, and a nonlinear resistor connected in series.
They found small traveling waves through the system support that lock the phase difference among all metronomes and they model the connections in terms of a
Van der Pol oscillator. Aragones and Guasch [6] presented a theoretical analysis of path propagation in a set of systems with similar structures.
Venkatasubramanian, "Singularity induced bifurcation and the
van der Pol oscillator," IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol.
Chen, "Asymptotic analytical solutions of the two-degree-of-freedom strongly nonlinear
van der Pol oscillators with cubic couple terms using extended homotopy analysis method," Acta Mechanica, vol.