**Books**

- Dynamics of one-dimensional maps (with A.N. Sharkovsky, A.G. Sivak and V.V.Fedorenko), Naukova Dumka, Kiev, 1989, 216 pp.(in Russian), MR 91k:58065
- Dynamics of one-dimensional maps (with A.N. Sharkovsky, A.G. Sivak and V.V. Fedorenko), Mathematics and its Applications,407, Kluwer Academic Publishers, Dorbrecht, 1997, 272pp. (English translation with complements), MR 98k:58083

- The measure of repellors of one- dimensional smooth maps (with A.N. Sharkovsky), Differential-functional and difference equations. Inst. Math. Ukrain. Acad. Sci., Kiev, 1981, (Russian),MR 84c:58051
- Universal constants for one parameter families of maps (with A.G. Sivak ), Oscillation and stability of solutions ofdifferential equations. Inst. Math. Ukrain. Acad. Sci., Kiev, 1982,(Russian), MR 85f:58076
- A class of functional equations and the universal behavior of families of one-dimensional maps(with A.G. Sivak), Differential-difference equations and problems of mathematical physics. Inst. Math. Ukrain. Acad. Sci., Kiev, 1984, 33-37 (Russian),MR 88b:39008
- Maps of the interval with zero Schwarzian, Functional-differential equations and their applications. Inst.Math. Ukrain. Acad. Sci., Kiev, 1985, 47-57 (Russian), MR 88i:58080
- Discrete dynamical systems with Schwarzian derivative of constant sign, Functional-differential equations and their application to nonlinear boundary value problems. Inst. Math. Ukrain. Acad. Sci., Kiev, 1987, 18-23 (Russian), MR 89j:58057
- One-parameter families of mappings of an interval with a negative Schwartzian derivative which violate the monotonicity of bifurcations, Ukrain. Mat. Zhurnal, 41, 2, 1989, 258-261(Russian) (English translation 41, 2, 1989, 230-232) MR 90c:58085
- On triangular maps of type $2^\infinity$ with positive entropy, Dynamical systems and turbulence. Inst. Math. Ukrain. Acad.Sci., Kiev, 1989, 76-82 (Russian), MR 91d:58203
- On topological dynamics of triangular maps of the plane (with A.N. Sharkovsky), Iteration Theory, Proc. ECIT-89. World Scientific Publishing, Singapore, 1991, 177-183, MR93f:58196
- On dynamics of triangular maps of the square, Ergodic Theory & Dynamical Systems, 12, 1992, 749-768, MR 93m:58036
- On omega-limit sets of triangular maps (with L. Snoha ), Real Analysis Exchange, 18 , 1, 1992-93, 115-130, MR 94b:58057
- On topological entropy of triangular maps of the square (with Ll. Alseda and L. Snoha), Bull. Austral. Math. Soc. 48 , 1993, 55-67, MR 94d:54087
- On topological dynamics of sequences of continuous maps (with L. Snoha), International Journal of Bifurcation and Chaos, 5 , 5, 1995, 1437-1438, MR 97b:58076
- Topological dynamics of triangular maps (with L. Snoha) , Iteration Theory , Proc. ECIT-92, World Scientific Publishing, Singapore, 1996, 165-172, MR 97m:58065
- Topological entropy of nonautonomous dynamical systems (with L. Snoha), Random & Computational Dynamics, 4, 2 & 3, 1996, 205-233, MR 98f:58126
- Some aspects of topological transitivity - a survey (with L. Snoha), Proc. ECIT-94, Grazer Math. Ber., 334, 1997, 3-35
- Entropy and periodic points for transitive maps (with Ll. Aseda, J. Llibre and L. Snoha), Trans. Amer. Math. Soc., 351 (1999), 1551-1573, MR 99f:58117
- Topological entropy of nonautonomous piecewise monotone dynamical systems on the interval (with M. Misiurewicz and L.Snoha), Fundamenta Mathematicae , 160 (1999), 161--181
- Noninvertible minimal maps(with L.Snoha and S. Trofimchuk) (to appear in Fundamenta Mathematicae)
- On Li-Yorke pairs (with F.Blanchard, E.Glasner and A. Maass), submitted
- Axiomatic definition of the topological entropy on the interval (with Ll. Alseda, J. Llibre and L. Snoha), submitted

- On the dynamics of triangular maps, Inst. Math. Ukrain. Acad. Sci. Preprint, # 61, Kiev, 1986, 28 pp. (Russian), MR88b:58074
- The measure of quasi-attractors of one-dimensional smooth mappings, Inst. Math. Ukrain. Acad. Sci. Preprint, #35, Kiev, 1986, 22 pp. (Russian), MR 88h:58066
- On dynamics of triangular maps of the square, Inst. Math. Ukrain. Acad. Sci. Preprint, # 14, Kiev, 1991, 36 pp., MR92k:58136 (revised version to published in Ergodic Theory & Dynamical Systems, 12 , 1992, 749-768, MR 93m:58036 )
- On omega-limit sets of triangular maps(with L. Snoha), Inst. Math. Ukrain. Acad. Sci. Preprint, #30, Kiev,1991, 20 pp., MR 92k:58142 ( published in Real Analysis Exchange, 18 , 1, 1992-93, 115-130, MR 94b:58057 )
- On topological entropy of triangular maps of the square(with Ll. Alseda and L. Snoha), Preprint CRM #165, Centre de Recerca Matematica, Barcelona, 1992, 13 pp. (published in Bull.Austral. Math. Soc. 48, 1993, 55-67, MR 94d:54087)
- Topological entropy of nonautonomous dynamical systems(with L. Snoha), Preprint INLN # 94.61, Institut Non Lineaire de Nice, Nice, 1994, 28 pp. (revised version to published in Random & Computational Dynamics, 4, 2 & 3, 1996, 205-233 )
- Entropy and periodic points for transitive maps (with Ll. Aseda, J. Llibre and L. Snoha), Preprint CRM # 305, Centre de Recerca Matematica, Barcelona, 1995, 39 pp. (revised version to published in Trans. Amer. Math. Soc. , 351 (1999), 1551-1573 )
- Topological entropy of nonautonomous piecewise monotone dynamical systems on the interval (with M. Misiurewicz and L. Snoha), Preprint IHES/M/98/10, Institut des Hautes Etudes Scientifiques, Bures-sur-Yvette, 18 pp., 1998 (revised version to published in Fundamenta Mathematicae , 160 (1999), 161--181 )
- Noninvertible minimal maps (with L. Snoha and S. Trofimchuk), Preprint IML # 99-26 , Institut de Mathématiques de Luminy, Marseille, 18 pp., 1999 (revised version to appear in Fundamenta Mathematicae )
- On Li-Yorke pairs (with F.Blanchard, E.Glasner and A. Maass), Preprint IML # 00-38, Institut de Mathématiques de Luminy, Marseille,
- Axiomatic definition of the topological entropy on the interval (with Ll. Alseda, J. Llibre and L. Snoha),Preprint CRM #458, Centre de Recerca Matematica, Barcelona, 19 pp., 2000

- On topological dynamics of triangular maps of the plane , Proc. ICNO-90. Cracow, 1990, 217-218
- On omega-limit sets of triangular maps(with L. Snoha) , Real Analysis Exchange , 17, N1, 1991-92, 57-58
- On omega-limit sets of triangular maps (with L. Snoha), Proc. ECIT-91.World Scientific Publishing, Singapore, 1992, 164-165
- Topological dynamics of triangular maps of the square, Tagungsbericht 20/1993" Low dimensional dynamics", Mathematisches Forschungsinstitut Oberwolfach, p.7, 1993
- On topological dynamics of triangular maps(with L. Snoha ), Proc. ICM 94 (Short Communications), Zurich, 1994, p.196
- On topological dynamics of sequences of continuous maps(with L. Snoha) , Proc. Conf. " Thirty years after Sharkovskii's theorem: new perspectives ", Murcia, 1994, World Scientific Publishing, River Edge, NJ, 1995, 175-176
- Topological entropy of nonautonomous dynamical systems, Proc. Conf. of the CRM, Bellaterra, 1997, Centre de Recerca Matematica, 66-68

Updated: October 20, 2000