Noise-induced chaos and signal detection by the nonisochronous Hopf oscillator

DOI10.1063/1.5091938zbMath1412.94116arXiv1902.02453OpenAlexW3103569543WikidataQ91670236 ScholiaQ91670236MaRDI QIDQ5377554

Dolores Bozovic, Justin Faber

Publication date: 24 May 2019

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.02453

Mathematics Subject Classification ID

Detection theory in information and communication theory (94A13) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary differential equations and systems with randomness (34F05) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (3)

Studying Stochastic Resonance Phenomenon in the Fractional-Order Lorenz-Like Chaotic System ⋮ Multiple dynamics analysis of Lorenz-family systems and the application in signal detection ⋮ Design of a New 3D Chaotic System Producing Infinitely Many Coexisting Attractors and Its Application to Weak Signal Detection

Cites Work

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• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Spontaneous voltage oscillations and response dynamics of a Hodgkin-Huxley type model of sensory hair cells
• Antireliability of noise-driven neurons
• IS SENSITIVE DEPENDENCE ON INITIAL CONDITIONS NATURE’S SENSORY DEVICE?

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