{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,29]],"date-time":"2022-03-29T10:27:34Z","timestamp":1648549654616},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[1991,12,1]],"date-time":"1991-12-01T00:00:00Z","timestamp":691545600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computing"],"published-print":{"date-parts":[[1991,12]]},"DOI":"10.1007\/bf02257776","type":"journal-article","created":{"date-parts":[[2005,11,22]],"date-time":"2005-11-22T19:01:28Z","timestamp":1132686088000},"page":"307-320","source":"Crossref","is-referenced-by-count":3,"title":["An indirect method for computing origins for Hopf bifurcation in two-parameter problems"],"prefix":"10.1007","volume":"46","author":[{"given":"G.","family":"P\u00f6nisch","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"BF02257776_CR1","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1007\/978-3-0348-5681-2_11","volume-title":"Continuations techniques and bifurcation problems (ISNM 92)","author":"B. Dier De","year":"1990","unstructured":"De Dier, B., Roose, D., van Rompay, P.: Interaction between fold and Hopf curves leads to new bifurcation phenomena. In: Mittelmann, H. D., Roose, D., (eds.), Continuations techniques and bifurcation problems (ISNM 92), Basel: Birkh\u00e4user 1990, pp. 171\u2013186."},{"key":"BF02257776_CR2","series-title":"Appl. Math. Science","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-1140-2","volume-title":"Nonlinear oszilations, dynamical systems and bifurcation of vector fields","author":"J. Guckenheimer","year":"1983","unstructured":"Guckenheimer, J., Holmes, P.: Nonlinear oszilations, dynamical systems and bifurcation of vector fields. Appl. Math. Science42, New York: Springer 1983."},{"key":"BF02257776_CR3","doi-asserted-by":"crossref","first-page":"1411","DOI":"10.1016\/0009-2509(81)80175-3","volume":"36","author":"R. F. Heinemann","year":"1981","unstructured":"Heinemann, R. F., Poore, A. B.: Multiplicity, stability and oszilatory dynamics of turbular reactors. Chem. Engng. Sci.36, 1411\u20131419 (1981).","journal-title":"Chem. Engng. Sci."},{"key":"BF02257776_CR4","volume-title":"Elementary stability and bifurcation theory","author":"G. Jooss","year":"1980","unstructured":"Jooss, G., Joseph, D. D.: Elementary stability and bifurcation theory. New York: Springer 1980."},{"key":"BF02257776_CR5","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1007\/978-3-0348-6256-1_16","volume-title":"Numerical methods for bifurcation problems (ISNM 70)","author":"A. D. Jepson","year":"1984","unstructured":"Jepson, A. D., Keller, H. B.: Steady state and periodic solution paths: Their bifurcations and computations. In: K\u00fcppers, T., Mittelmann, H. D., Weber, H., (eds.), Numerical methods for bifurcation problems (ISNM 70), Basel: Birkh\u00e4user 1984, pp. 219\u2013256."},{"key":"BF02257776_CR6","first-page":"344","volume":"22","author":"A. Jepson","year":"1985","unstructured":"Jepson, A., Spence, A.: Folds in solutions of two parameter systems and their calculation. SIAM J. Numer. Anal.22, 344\u2013368 (1985).","journal-title":"SIAM J. Numer. Anal."},{"key":"BF02257776_CR7","doi-asserted-by":"crossref","first-page":"593","DOI":"10.1016\/0009-2509(84)80055-X","volume":"39","author":"M. Kubicek","year":"1984","unstructured":"Kubicek, M., Holodniok M.: Evaluation of Hopf bifurcation points in parabolic equations describing heat and mass transfer in chemical reactors. Chem. Engng. Sci.39, 593\u2013599 (1984).","journal-title":"Chem. Engng. Sci."},{"key":"BF02257776_CR8","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1007\/BF01403907","volume":"30","author":"R. Menzel","year":"1978","unstructured":"Menzel, R., Schwetlick, H.: Zur L\u00f6sung parameterabh\u00e4ngiger nichtlinearer Gleichungen mit singul $$\\ddot \\alpha $$ ren Jacobi-Matrizen. Numer. Math.30, 65\u201379 (1978).","journal-title":"Numer. Math."},{"key":"BF02257776_CR9","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1007\/BF02241778","volume":"26","author":"G. P\u00f6nisch","year":"1981","unstructured":"P\u00f6nisch, G., Schwetlick, H.: Computing turning points of curves implicitly defined by nonlinear equations depending on a parameter. Computing26, 101\u2013126 (1981).","journal-title":"Computing"},{"key":"BF02257776_CR10","unstructured":"P\u00f6nisch, G., Schwetlick, H.: Some types of inverse problems for nonlinear equations having coupled turning points. Preprint 07-01-90, Technical Univ. of Dresden 1990."},{"key":"BF02257776_CR11","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1145\/357456.357460","volume":"9","author":"W. C. Rheinboldt","year":"1983","unstructured":"Rheinboldt, W. C., Burkardt, J. V.: A locally parametrized continuation process. ACM-TOMS9, 215\u2013241 (1983).","journal-title":"ACM-TOMS"},{"key":"BF02257776_CR12","unstructured":"Roose, D.: Numerical determination of an emanating branch of Hopf bifurcation points in a two-parameter problem. Report TW82, Katholieke Universiteit Leuven 1986."},{"key":"BF02257776_CR13","doi-asserted-by":"crossref","first-page":"268","DOI":"10.1007\/978-3-0348-7241-6_28","volume-title":"Bifurcation: analysis, algorithms, applications, (ISNM 79)","author":"D. Roose","year":"1987","unstructured":"Roose, D.: Numerical computation of origins for Hopf bifurcation in two-parameter problems In: K\u00fcppers, T., Seydel, R., Trogner, H., (eds.), Bifurcation: analysis, algorithms, applications, (ISNM 79), Basel: Birkh\u00e4user 1987, pp. 268\u2013296."},{"key":"BF02257776_CR14","volume-title":"Numerische L\u00f6sung nichtlinearer Gleichungen","author":"H. Schwetlick","year":"1979","unstructured":"Schwetlick, H.: Numerische L\u00f6sung nichtlinearer Gleichungen. Berlin: Deutscher Verlag der Wissenschaften 1979."}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02257776.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02257776\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02257776","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,16]],"date-time":"2019-05-16T15:01:48Z","timestamp":1558018908000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02257776"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,12]]},"references-count":14,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1991,12]]}},"alternative-id":["BF02257776"],"URL":"https:\/\/doi.org\/10.1007\/bf02257776","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,12]]}}}