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Interactions of resonances and global bifurcations in Rayleigh-Benard convection
Affiliation:1. Department of Biophysics, All India Institute of Medical Sciences, New Delhi, India;2. Department of Biochemistry, Jamia Hamdard, New Delhi, India;3. Department of Health Sciences, Lulea University of Technology, Sweden;1. VA Palo Alto Health Care System, Geriatric Research (CEG, CC, AJA, PSM), Education and Clinical Center (GRECC), Palo Alto, CA;2. Department of Psychiatry and Behavioral Services (CEG, AJA, RT), Stanford University School of Medicine, Palo Alto, CA;3. Center for Innovation to Implementation (RT), VA Palo Alto Health Care System, Palo Alto, CA;4. Veterans Integrated Service Network (VISN) 23 Clinical Resource Hub (ADS, JF), Minneapolis, MN;5. Informatics, Decision-Enhancement, and Analytic Sciences (IDEAS) Center of Innovation (ZB), VA Salt Lake City Health Care System, Salt Lake City, UT;6. Division of Epidemiology, Department of Internal Medicine (ZB), University of Utah, Salt Lake City, UT;7. Center for Health Equity Research and Promotion (AP), Corporal Michael J. Crescenz VA Medical Center, Philadelphia, PA
Abstract:We present detailed two-parameter experimental studies of hysteresis and overlapping of resonances and secondary Hopf bifurcations in the quasiperiodic regime of low-aspect-ratio Rayleigh-Benard convection in solutions of 3He in superfluid 4He. The global bifurcations inferred from this experiment are similar to those observed in numerical studies of two-parameter families of maps of the plane with nonconstant jacobian.
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