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- Title
Grazing, Homoclinic Orbits and Chaos in a Single-Loop Feedback System with a Discontinuous Function.
- Authors
Horikawa, Yo
- Abstract
Bifurcations and chaos of a three-dimensional single-loop feedback system with a discontinuous piecewise linear feedback function are examined. Chaotic attractors are generated at the same time of the destabilization of foci accompanied with grazing. Multiple periodic solutions are connected with homoclinic orbits based at a pseudo saddle-focus, which satisfies the condition of Shil'nikov chaos formally. The generation of chaotic oscillations is shown in a circuit experiment on a linear ring oscillator with a comparator. The homoclinic bifurcations and chaos are also shown in a ring neural network with a nonmonotonic neuron.
- Subjects
ORBITS (Astronomy); DISCONTINUOUS functions; GRAZING; HARMONIC oscillators; RING networks
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2023, Vol 33, Issue 13, p1
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127423501584