chaos.bib

@book{devaney,
    title = "An introduction to Chaotic Dynamical Systems",
    author = "Robert L. Devaney",
    year = "1989",
    edition = "second",
    publisher = "Addison-Wesley Publishing Company Advanced Book Program",
    address = "Redwood City, California"
}

@book{ruette,
    title = "Chaos on the Interval",
    author = "Sylvie Ruette",
    year = "2017",
    publisher = "American Mathematical Society",
    address = "Providence, Rhode Island"
}

@book{asy,
    title = "Chaos: An Introduction to Dynamical Systems",
    author = "Kathleen T. Aligood and Tim D. Sauer and James A. Yorke",
    year = "1997",
    publisher = "Springer-Verlag",
    address = "New York, New York"
}

@book{alm,
    title = "Combinatorial Dynamics and Entropy in Dimension One",
    author = "L. Alsed{\`a} and J. Llibre and M. Misiurewicz",
    year = "2000",
    edition = "second",
    volume = "5",
    series = "Advanced Series in Nonlinear Dynamics",
    publisher = "World Scientific",
    address = "River Edge, New Jersey"
}

@book{block-coppel,
    title = "Dynamics in One Dimension",
    author = "Louis Stuart Block and William Andrew Coppel",
    year = "1992",
    series = "Lecture Notes in Mathematics no. 1513",
    publisher = "Springer-Verlag",
    address = "Berlin, Heidelberg"
}

@inbook{walters,
    author = "Walters, Peter",
    title = "Topological entropy",
    bookTitle = "Ergodic Theory --- Introductory Lectures",
    year = "1975",
    publisher = "Springer Berlin Heidelberg",
    address = "Berlin, Heidelberg",
    pages = "140--184",
    url = "https://doi.org/10.1007/BFb0112508"
}

@article{li-yorke,
    title = "Period Three Implies Chaos",
    author = "Tien-Yien Li and James A. Yorke",
    year = "1975",
    publisher = "Mathematical Association of America",
    journal = "The American Mathematical Monthly",
    number = "10",
    volume = "82",
    pages = "985--992"
}

@article{brouwer,
    title = "Über Abbildung von Mannigfaltigkeiten",
    author = "L. E. J. Brouwer",
    year = "1911",
    journal = "Mathematische Annalen",
    number = "1",
    volume = "71",
    pages = "97--115"
}

@article{sharkovsky,
    title = "Co-existence of cycles of a continuous mapping of the line into itself",
    author = "Sharkovsky, A. N.",
    year = "1964",
    journal = "Ukranian Math",
    volume = "16",
    pages = "61–-71"
}

@article{sharkovsky2,
    title = "On cycles and the structure of a continuous mapping",
    author = "Sharkovsky, A. N.",
    year = "1965",
    journal = "Ukranian Math",
    volume = "17",
    pages = "104--111"

}

@article{burns-hasselblatt,
    title = "The Sharkovsky Theorem: A Natural Direct Proof",
    author = "Keith Burns and Boris Hasselblatt",
    year = "2011",
    publisher = "Mathematical Association of America",
    journal = "The American Mathematical Monthly",
    number = "3",
    volume = "118",
    pages = "229--244"

}

@article{silverman,
    title = "On Maps with Dense Orbits and the Definition of Chaos",
    author = "Stephen Silverman",
    year="1992",
    publisher = "Rocky Mountain Mathematics Consortium",
    journal = "Rocky Mountain Journal of Mathematics",
    number = "1",
    volume = "22",
    pages = "353--375",
    doi = "10.1216/rmjm/1181072815",
    url = "https://doi.org/10.1216/rmjm/1181072815"
}

@article{vellekoop-berglund,
    title = "On Intervals, Transitivity = Chaos",
    author = "Michel Vellekoop and Raoul Berglund",
    year = "1994",
    publisher = "Mathematical Association of America",
    journal = "The American Mathematical Monthly",
    number = "4",
    volume = "101",
    pages = "353--355",
    url = "http://www.jstor.org/stable/2975629",
}

@article{bbcds,
    title = "On Devaney's Definition of Chaos",
    author = "J. Banks and J. Brooks and G. Cairns and G. Davis and P. Stacey",
    year = "1992",
    publisher = "Mathematical Association of America",
    journal = "The American Mathematical Monthly",
    number = "4",
    volume = "99",
    pages = "332--334",
    URL = "http://www.jstor.org/stable/2324899"
}

@article{kolyada-snoha,
    title = "Some aspects of topological transitivity - A survey",
    author = "Kolyada, Sergiy and Snoha, L'ubomír",
    year = "1997",
    journal = "Grazer Mathematische Berichte",
    volume = "334",
    pages = "3-35",
    month = "01",
}

@article{glasner-weiss,
    title = "Sensitive dependence on initial conditions",
    author = "Eli Glasner and Benjamin Weiss",
    year = "1993",
    publisher = "IOP Publishing Ltd.",
    journal = "Nonlinearity",
    number = "6",
    volume = "6",
    pages = "1067--1075",
}

@article{bgsm,
    title = "On Li-Yorke pairs",
    author = "Blanchard, François and Glasner, Eli and Kolyada, Sergiy and Maass, Alejandro",
    year = "2002",
    journal = "Journal für die reine und angewandte Mathematik (Crelles Journal)",
    month = "01",
    pages = "51-68",
    volume = "547",
}

@article{lu-zhu-wu,
    title = "The Retentivity of Chaos under Topological Conjugation",
    author = "Tianxiu Lu and Peiyong Zhu and Xinxing Wu",
    year = "2013",
    publisher = "Hindawi Publishing",
    journal = "Mathematical Problems in Engineering",
    pages = "4",
    volume = "vol. 2013",
    URL = "https://doi.org/10.1155/2013/817831",
    
}

@article{adler,
    title = "Topological Entropy",
    author = "R. L. Adler and A. G. Konheim and M. H. McAndrew",
    year = "1965",
    publisher = "American Mathematical Society",
    journal = "Transactions of the American Mathematical Society",
    number = "2",
    volume = "114",
    pages = "309--319",
    URL = "http://www.jstor.org/stable/1994177",
}

@article{bowen,
    title = "Entropy for Group Endomorphisms and Homogeneous Spaces",
    author = "Rufus Bowen",
    year = "1971",
    publisher = "American Mathematical Society",
    journal = "Transactions of the American Mathematical Society",
    volume = "153",
    pages = "401--414",
    URL = "http://www.jstor.org/stable/1995565",
}

@article{dinaburg,
    title = "A correlation between topological entropy and metric entropy",
    author = "Efim Isaakovich Dinaburg",
    year = "1970",
    publisher = "American Mathematical Society",
    journal = "Dokl. Akad. Nauk SSSR",
    number = "1",
    volume = "190",
    pages = "19--22",
    URL = "http://mi.mathnet.ru/dan35116",
}

@article{furstenberg,
    title = "Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation",
    author = "Furstenberg, H.",
    year = "1967",
    journal = "Math. Systems Theory",
    volume = "1",
    pages = "1--49",
    URL = "https://doi.org/10.1007/BF01692494",
}

@article{blanchard,
    title = "Topological chaos: what may this mean?",
    author = "Blanchard, François",
    year = "2000",
    publisher = "Taylor & Francis",
    journal = "Journal of Difference Equations and Applications",
    number = "1",
    volume = "15",
    pages = "23--46",
    URL = "https://doi.org/10.1080/10236190802385355",
}

@mastersthesis{butt,
    title = "Topological chaos: what may this mean?",
    author = "Karen Butt",
    year = "2014",
    school = "University of Chicago",
}

@article{smital,
    title = "Chaotic Functions with Zero Topological Entropy",
    author = "Smital, J",
    year = "1986",
    journal = "Transactions of the American Mathematical Society",
    number = "1",
    volume = "297",
    pages = "269--282",
    URL = "https://doi.org/10.2307/2000468",
}

@article{li,
    title = "Omega-Chaos and Topological Entropy",
    author = "Shihai Li",
    year = "1993",
    journal = "Transactions of the American Mathematical Society",
    number = "1",
    volume = "339",
    pages = "243--249",
    URL = "https://www.jstor.org/stable/2154217",
}

@article{wang,
    title = "The Retentivity of Chaos under Topological Conjugation",
    author = "Wang, Yuncai and Lu, Tianxiu and Zhu, Peiyong and Wu, Xinxing",
    year = "2013",
    journal = "Mathematical Problems in Engineering",
    volume = "2013",
    pages = "4 pages",
    URL = "https://doi.org/10.1155/2013/817831",

}