{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,17]],"date-time":"2026-01-17T22:01:35Z","timestamp":1768687295399,"version":"3.49.0"},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"10","license":[{"start":{"date-parts":[[2015,2,21]],"date-time":"2015-02-21T00:00:00Z","timestamp":1424476800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Circuits Syst Signal Process"],"published-print":{"date-parts":[[2015,10]]},"DOI":"10.1007\/s00034-014-9948-5","type":"journal-article","created":{"date-parts":[[2015,2,20]],"date-time":"2015-02-20T06:56:24Z","timestamp":1424415384000},"page":"3101-3119","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":43,"title":["FPGA Implementation of a Real-Time Weak Signal Detector Using a Duffing Oscillator"],"prefix":"10.1007","volume":"34","author":[{"given":"Vahid","family":"Rashtchi","sequence":"first","affiliation":[]},{"given":"Mohsen","family":"Nourazar","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,2,21]]},"reference":[{"key":"9948_CR1","first-page":"60","volume":"9","author":"A Bedri","year":"2005","unstructured":"A. Bedri, E. Akin, Tools for detecting chaos. J. Inst. Sci. Technol Sak. Univ. 9, 60\u201366 (2005)","journal-title":"J. Inst. Sci. Technol Sak. Univ."},{"key":"9948_CR2","doi-asserted-by":"crossref","first-page":"253","DOI":"10.1016\/S0097-8493(96)00088-X","volume":"21","author":"S Chandra","year":"1997","unstructured":"S. Chandra, A tutorial and diagnostic tool for chaotic oscillators and time series. Comp. Graph. 21, 253\u2013262 (1997)","journal-title":"Comp. Graph."},{"key":"9948_CR3","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1023\/A:1011157505026","volume":"78","author":"F Freistetter","year":"2000","unstructured":"F. Freistetter, Fractal dimensions as chaos indicators. Celest. Mech. Dyn. Astr. 78, 211\u2013225 (2000)","journal-title":"Celest. Mech. Dyn. Astr."},{"key":"9948_CR4","series-title":"Weak GPS signal detect algorithm based on Duffing chaos system","volume-title":"Signal Processing (ICSP)","author":"Q Honglei","year":"2010","unstructured":"Q. Honglei, S. Xingli, J. Tian, Signal Processing (ICSP), Weak GPS signal detect algorithm based on Duffing chaos system (Tsinghua University, Beijing, 2010)"},{"key":"9948_CR5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1155\/2009\/527689","volume":"2009","author":"P Huang","year":"2009","unstructured":"P. Huang, Y. Pi, Z. Zhao, Weak GPS signal acquisition algorithm based on chaotic oscillator. EURASIP J. Adv. Signal Process. 2009, 1\u20136 (2009)","journal-title":"EURASIP J. Adv. Signal Process."},{"issue":"3","key":"9948_CR6","first-page":"1255","volume":"5","author":"A Jalilvand","year":"2010","unstructured":"A. Jalilvand, H. Kargar, H. Fotoohabadi, High impedance fault detection using Duffing oscillator and FIR filter. Int. Rev. Elect. Eng. I 5(3), 1255\u20131265 (2010)","journal-title":"Int. Rev. Elect. Eng. I"},{"issue":"1","key":"9948_CR7","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1016\/j.ymssp.2005.07.006","volume":"21","author":"C Li","year":"2007","unstructured":"C. Li, L. Qu, Applications of chaotic oscillator in machinery fault diagnosis. Mech. Syst. Signal Process. 21(1), 257\u2013269 (2007)","journal-title":"Mech. Syst. Signal Process."},{"issue":"2","key":"9948_CR8","first-page":"59","volume":"3","author":"C Li","year":"2005","unstructured":"C. Li, Study of weak signal detection based on second FFT and chaotic oscillator. Nat Sci 3(2), 59\u201364 (2005)","journal-title":"Nat Sci"},{"key":"9948_CR9","unstructured":"D. Liu, H. Ren, L. Song, Weak signal detection based on chaotic oscillator, in Proceedings of 40th Annual Industry Applications Conference (2005), pp. 2054\u20132058"},{"key":"9948_CR10","volume-title":"Perturbation Criteria for Chaos","author":"Z Liu","year":"1994","unstructured":"Z. Liu, Perturbation Criteria for Chaos (Shanghai Scientific and Technology Education, Shanghai, 1994)"},{"key":"9948_CR11","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1175\/1520-0469(1963)020<0130:DNF>2.0.CO;2","volume":"20","author":"E Lorenz","year":"1963","unstructured":"E. Lorenz, Deterministic non-periodic flow. J. Atmos. Sci. 20, 130\u2013141 (1963)","journal-title":"J. Atmos. Sci."},{"issue":"3","key":"9948_CR12","first-page":"1196","volume":"6","author":"V Rashtchi","year":"2011","unstructured":"V. Rashtchi, R. Aghmashe, M. Ojaghi, Application of Duffing oscillators to dynamic eccentricity fault detection in squirrel cage induction motors. Int. Rev. Elect. Eng-I (IREE) 6(3), 1196\u20131203 (2011)","journal-title":"Int. Rev. Elect. Eng-I (IREE)"},{"issue":"6","key":"9948_CR13","first-page":"3395","volume":"4","author":"V Rashtchi","year":"2011","unstructured":"V. Rashtchi, M. Nourazar, A study on Duffing oscillator\u2019s ability on detecting disappearance of the detected weak signal. Int. Rev. Modell. Simul. (IREMOS) 4(6), 3395\u20133401 (2011)","journal-title":"Int. Rev. Modell. Simul. (IREMOS)"},{"key":"9948_CR14","first-page":"467","volume":"7","author":"S Sadoudi","year":"2009","unstructured":"S. Sadoudi, M.S. Azzaz, M. Djeddou, M. Benssalah, An FPGA real-time implementation of the Chen\u2019s chaotic system for securing chaotic communications. Int. J. Nonlinear Sci. 7, 467\u2013474 (2009)","journal-title":"Int. J. Nonlinear Sci."},{"key":"9948_CR15","doi-asserted-by":"crossref","unstructured":"S. Sadoudi, M.S. Azzaz, C. Tanougast, A.Dandache, Real time hardware implementation of a new Duffing\u2019s chaotic attractor, in 16th IEEE Conference on Electronics, Circuits, and Systems (ICECS 2009), pp. 559\u2013562","DOI":"10.1109\/ICECS.2009.5410866"},{"key":"9948_CR16","unstructured":"S. Sadoudi, M.S. Azzaz, Hardware implementation of the Rossler chaotic system for securing chaotic communication, in Proceedings of 5th International Conference of Sciences of Electronic, Technologies of Information and Telecommunications (2009)"},{"key":"9948_CR17","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198508397.001.0001","volume-title":"Chaos and Time-Series Analysis","author":"J Sprott","year":"2003","unstructured":"J. Sprott, Chaos and Time-Series Analysis (Oxford University Press, Oxford, 2003)"},{"issue":"7","key":"9948_CR18","doi-asserted-by":"crossref","first-page":"945","DOI":"10.1109\/TCSI.2003.812606","volume":"50","author":"G Wang","year":"2003","unstructured":"G. Wang, S. He, A quantitative study on detection and estimation of weak signals by using chaotic Duffing oscillators. IEEE Trans. Circ. Syst. 50(7), 945\u2013953 (2003)","journal-title":"IEEE Trans. Circ. Syst."},{"issue":"2","key":"9948_CR19","doi-asserted-by":"crossref","first-page":"440","DOI":"10.1109\/41.753783","volume":"46","author":"G Wang","year":"1999","unstructured":"G. Wang, D. Chen, J. Lin, The application of chaotic oscillators to weak signal detection. IEEE Trans. Ind. Electron. 46(2), 440\u2013444 (1999)","journal-title":"IEEE Trans. Ind. Electron."},{"issue":"10","key":"9948_CR20","doi-asserted-by":"crossref","first-page":"1662","DOI":"10.1108\/03684920910994015","volume":"38","author":"J Wang","year":"2009","unstructured":"J. Wang, J. Zhou, B. Peng, Weak signal detection method based on Duffing oscillator. Kybernetes 38(10), 1662\u20131668 (2009)","journal-title":"Kybernetes"},{"key":"9948_CR21","doi-asserted-by":"crossref","unstructured":"H. Wenjing, L. Zhizhen, Study of metal detection based on chaotic theory, in Proceedings of 8th World Congress on Intelligent Control and Automation (WCICA), (Jinan, China, 2010), pp. 2309\u20132314","DOI":"10.1109\/WCICA.2010.5554170"},{"key":"9948_CR22","doi-asserted-by":"crossref","unstructured":"H. Wu, W. Liu, J. Lou, Application of chaos in sonar detection, in Proceedings of Mechanic Automation and Control Engineering (MACE), (Hohhot, China, 2011), pp. 4774\u20134777","DOI":"10.1109\/MACE.2011.5988079"},{"key":"9948_CR23","unstructured":"Y. Ye, L. Yue, Study on EEG time series based on Duffing equation, in Proceedings of the International Conference on BioMedical Engineering and Informatics (BMEI), (2008), pp. 516\u2013519"},{"key":"9948_CR24","unstructured":"W. Yonwei, S. Yaowu, Y. Wensuo, N. Chunyan, The methods of digital communication system chaotic encryption using the Duffing oscillator, in Proceedings of the International Conference on Signal Processing, (2004), pp. 845\u20131848"},{"key":"9948_CR25","doi-asserted-by":"crossref","unstructured":"Z. Zheng, F. Zhang, Comparative study on weak signal detection algorithms, in Proceedings of E-Business and E-Government (ICEE), (Guangzhou, China, 2010), pp. 3825\u20133828","DOI":"10.1109\/ICEE.2010.959"}],"container-title":["Circuits, Systems, and Signal Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-014-9948-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00034-014-9948-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00034-014-9948-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,19]],"date-time":"2025-05-19T20:04:24Z","timestamp":1747685064000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00034-014-9948-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,2,21]]},"references-count":25,"journal-issue":{"issue":"10","published-print":{"date-parts":[[2015,10]]}},"alternative-id":["9948"],"URL":"https:\/\/doi.org\/10.1007\/s00034-014-9948-5","relation":{},"ISSN":["0278-081X","1531-5878"],"issn-type":[{"value":"0278-081X","type":"print"},{"value":"1531-5878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,2,21]]}}}