Shil'nikov chaos and mixed-mode oscillation in Chua circuit.

Homoclinic bifurcation in Chua ’ s circuit

We report our experimental observations of the Shil’nikov-type homoclinic chaos in asymmetry-induced Chua’s oscillator. The asymmetry plays a crucial role in the related homoclinic bifurcations. The asymmetry is introduced in the circuit by forcing a DC voltage. For a selected asymmetry, when a system parameter is controlled, we observed transition from large amplitude limit cycle to homoclinic...

Hidden attractors in Dynamical Systems. From Hidden oscillations in Hilbert-Kolmogorov, Aizerman, and Kalman Problems to Hidden Chaotic Attractor in Chua Circuits

Generating 3-scroll attractors from One Chua Circuit

This paper reports the finding of a 3-scroll chaotic attractor with only three equilibria obtained via direct modification of Chua’s circuit. In addition, it is shown numerically that the new system can also generate one-scroll and two-scroll chaotic attractors. PACS numbers: 05.45.-a, 05.45.Gg.

Frequency–driven chaos in the electrical circuit of Duffing-Holmes oscillator and its control

Accurate detection of weak periodic signals within noise and possibility of secure messaging have made Duffing oscillator (DO) highly important in the field of communication. Investigation on the properties of DO is thus ardently sought for. An elegant approach to accomplish the same is to fabricate electronic circuit simulating DO non-linear equation and to study the effect of input signal amp...

Multimode Chaos in Two Coupled Chaotic Oscillators with Hard Nonlinearities

In this study, multimode chaos observed from two coupled chaotic oscillators with hard nonlinearities is investigated. At first, a simple chaotic oscillator with hard nonlinearities is realized. It is confirmed that in this chaotic oscillator the origin is always asymptotically stable and that the solution, which is excited by giving relatively large initial conditions, undergoes period-doublin...