{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T17:54:33Z","timestamp":1648922073760},"reference-count":19,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2010,2,18]],"date-time":"2010-02-18T00:00:00Z","timestamp":1266451200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Nonlinear Dyn"],"published-print":{"date-parts":[[2010,8]]},"DOI":"10.1007\/s11071-010-9660-3","type":"journal-article","created":{"date-parts":[[2010,2,17]],"date-time":"2010-02-17T08:20:29Z","timestamp":1266394829000},"page":"435-442","source":"Crossref","is-referenced-by-count":1,"title":["Conductance in discrete dynamical systems"],"prefix":"10.1007","volume":"61","author":[{"given":"S.","family":"Fernandes","sequence":"first","affiliation":[]},{"given":"C.","family":"Gr\u00e1cio","sequence":"additional","affiliation":[]},{"given":"C.","family":"Ramos","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2010,2,18]]},"reference":[{"key":"9660_CR1","first-page":"1","volume-title":"Iteration Theory (Batschuns, 1992)","author":"P. Almeida","year":"1996","unstructured":"Almeida, P., Lampreia, J.P., Sousa\u00a0Ramos, J.: Topological invariants for bimodal maps. In: Iteration Theory (Batschuns, 1992), pp.\u00a01\u20138. World Sci. Publishing, River Edge (1996)"},{"issue":"3","key":"9660_CR2","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1016\/S0304-3975(03)00232-9","volume":"307","author":"S.L. Bezrukov","year":"2003","unstructured":"Bezrukov, S.L.: Edge isoperimetric problems on graphs. Theor. Comput. Sci. 307(3), 473\u2013492 (2003)","journal-title":"Theor. Comput. Sci."},{"key":"9660_CR3","unstructured":"Bollob\u00e1s, B.: Volume estimates and rapid mixing, flavours of geometry. MSRI Publ. 31 (1997)"},{"issue":"1","key":"9660_CR4","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/j.chaos.2005.03.016","volume":"27","author":"C. Correia\u00a0Ramos","year":"2006","unstructured":"Correia\u00a0Ramos, C., Martins, N., Severino, R., Sousa Ramos, J.: Noncommutative topological dynamics. Chaos Solitons Fractals 27(1), 15\u201323 (2006)","journal-title":"Chaos Solitons Fractals"},{"key":"9660_CR5","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1142\/9789812770752_0017","volume-title":"Difference Equations, Special Functions and Orthogonal Polynomials","author":"S. Fernandes","year":"2007","unstructured":"Fernandes, S., Gr\u00e1cio, C., Sousa\u00a0Ramos, J.: Laplacians and the Cheeger constants for discrete dynamical system. In: Difference Equations, Special Functions and Orthogonal Polynomials, pp. 213\u2013223. World Sci. Publ., Hackensack (2007)"},{"issue":"1\u20134","key":"9660_CR6","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1007\/s11071-006-1954-0","volume":"44","author":"S. Fernandes","year":"2006","unstructured":"Fernandes, S., Sousa\u00a0Ramos, J.: Conductance, Laplacian and mixing rate in discrete dynamical systems. Nonlinear Dyn. 44(1\u20134), 117\u2013126 (2006)","journal-title":"Nonlinear Dyn."},{"key":"9660_CR7","series-title":"Grazer Math. Ber.","first-page":"69","volume-title":"Iteration Theory (ECIT \u201904)","author":"S. Fernandes","year":"2006","unstructured":"Fernandes, S., Sousa\u00a0Ramos, J.: Spectral invariants and conductance in iterated maps. In: Iteration Theory (ECIT \u201904), Grazer Math. Ber., vol.\u00a0350, pp. 69\u201381. Karl-Franzens-Univ. Graz, Graz (2006)"},{"issue":"2","key":"9660_CR8","doi-asserted-by":"crossref","first-page":"316","DOI":"10.1016\/j.chaos.2005.09.068","volume":"31","author":"S. Fernandes","year":"2007","unstructured":"Fernandes, S., Sousa\u00a0Ramos, J.: Second eigenvalue of transition matrix associated to iterated maps. Chaos Solitons Fractals 31(2), 316\u2013326 (2007)","journal-title":"Chaos Solitons Fractals"},{"issue":"1\u20134","key":"9660_CR9","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1007\/s11071-006-1980-y","volume":"44","author":"C. Gr\u00e1cio","year":"2006","unstructured":"Gr\u00e1cio, C., Sousa\u00a0Ramos, J.: The first eigenvalue of the Laplacian and the conductance of a compact surface. Nonlinear Dyn. 44(1\u20134), 243\u2013250 (2006)","journal-title":"Nonlinear Dyn."},{"key":"9660_CR10","unstructured":"Lampreia, J.P., Rica\u00a0da\u00a0Silva, A., Sousa Ramos, J.: Tree of topological Markov chains. In: CFMC-E4\/84, Lisbon (1984). http:\/\/www.math.ist.utl.pt\/~sramos\/tree84"},{"issue":"1","key":"9660_CR11","first-page":"1","volume":"54","author":"J.P. Lampreia","year":"1997","unstructured":"Lampreia, J.P., Sousa\u00a0Ramos, J.: Symbolic dynamics of bimodal maps. Port. Math. 54(1), 1\u201318 (1997)","journal-title":"Port. Math."},{"issue":"7","key":"9660_CR12","doi-asserted-by":"crossref","first-page":"1701","DOI":"10.1142\/S0218127403007552","volume":"13","author":"N. Martins","year":"2003","unstructured":"Martins, N., Severino, R., Sousa\u00a0Ramos, J.: Isentropic real cubic maps. Dynamical systems and functional equations (Murcia, 2000). Int. J. Bifur. Chaos Appl. Sci. Eng. 13(7), 1701\u20131709 (2003)","journal-title":"Int. J. Bifur. Chaos Appl. Sci. Eng."},{"key":"9660_CR13","first-page":"465","volume-title":"Lecture Notes in Math.","author":"J. Milnor","year":"1988","unstructured":"Milnor, J., Thurston, W.: On iterated maps of the interval. Dynamical systems (College Park, MD, 1986\u201387). In: Lecture Notes in Math., vol. 1342, pp. 465\u2013563. Springer, Berlin (1988)"},{"key":"9660_CR14","first-page":"871","volume":"2","author":"B. Mohar","year":"1991","unstructured":"Mohar, B.: The Laplacian spectrum of graphs. Graph Theory, Comb. Appl. 2, 871\u2013898 (1991)","journal-title":"Graph Theory, Comb. Appl."},{"key":"9660_CR15","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-8937-6_6","volume-title":"Some Applications of Laplace Eigenvalues of Graphs","author":"B. Mohar","year":"1997","unstructured":"Mohar, B.: Some Applications of Laplace Eigenvalues of Graphs. University of Ljubljana, Ljubljana (1997). Preprint series, vol. 35"},{"key":"9660_CR16","doi-asserted-by":"crossref","first-page":"368","DOI":"10.1090\/S0002-9947-1966-0197683-5","volume":"122","author":"W. Parry","year":"1966","unstructured":"Parry, W.: Symbolic dynamics and transformations of the unit interval. Trans. Am. Math. Soc. 122, 368\u2013378 (1966)","journal-title":"Trans. Am. Math. Soc."},{"issue":"2","key":"9660_CR17","first-page":"209","volume":"10","author":"M.M. Ramos","year":"2004","unstructured":"Ramos, M.M., Correia\u00a0Ramos, C., Severino, R., Sousa\u00a0Ramos, J.: Topological invariants of a chaotic pendulum. Int. J. Pure Appl. Math. 10(2), 209\u2013226 (2004)","journal-title":"Int. J. Pure Appl. Math."},{"issue":"1\u20134","key":"9660_CR18","first-page":"3","volume":"44","author":"J. Sousa\u00a0Ramos","year":"2006","unstructured":"Sousa\u00a0Ramos, J.: Introduction to nonlinear dynamics of electronic systems: tutorial. Nonlinear Dyn. 44(1\u20134), 3\u201314 (2006)","journal-title":"Nonlinear Dyn."},{"key":"9660_CR19","volume-title":"An Introduction to Ergodic Theory","author":"P. Walters","year":"2007","unstructured":"Walters, P.: An Introduction to Ergodic Theory. Springer, Berlin (2007)"}],"container-title":["Nonlinear Dynamics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11071-010-9660-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11071-010-9660-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11071-010-9660-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,1]],"date-time":"2019-06-01T04:56:47Z","timestamp":1559365007000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11071-010-9660-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,2,18]]},"references-count":19,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2010,8]]}},"alternative-id":["9660"],"URL":"https:\/\/doi.org\/10.1007\/s11071-010-9660-3","relation":{},"ISSN":["0924-090X","1573-269X"],"issn-type":[{"value":"0924-090X","type":"print"},{"value":"1573-269X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,2,18]]}}}