Herzog, G. (1997). On a Universality of the Heat Equation. Mathematische Nachrichten, 188(1), 169-171. doi:10.1002/mana.19971880110
Kalmes, T. (2010). Hypercyclicity and mixing for cosine operator functions generated by second order partial differential operators. Journal of Mathematical Analysis and Applications, 365(1), 363-375. doi:10.1016/j.jmaa.2009.10.063
Bayart, F., & Grivaux, S. (2006). Frequently hypercyclic operators. Transactions of the American Mathematical Society, 358(11), 5083-5117. doi:10.1090/s0002-9947-06-04019-0
[+]
Herzog, G. (1997). On a Universality of the Heat Equation. Mathematische Nachrichten, 188(1), 169-171. doi:10.1002/mana.19971880110
Kalmes, T. (2010). Hypercyclicity and mixing for cosine operator functions generated by second order partial differential operators. Journal of Mathematical Analysis and Applications, 365(1), 363-375. doi:10.1016/j.jmaa.2009.10.063
Bayart, F., & Grivaux, S. (2006). Frequently hypercyclic operators. Transactions of the American Mathematical Society, 358(11), 5083-5117. doi:10.1090/s0002-9947-06-04019-0
Bermúdez, T., Bonilla, A., Martínez-Giménez, F., & Peris, A. (2011). Li–Yorke and distributionally chaotic operators. Journal of Mathematical Analysis and Applications, 373(1), 83-93. doi:10.1016/j.jmaa.2010.06.011
Gethner, R. M., & Shapiro, J. H. (1987). Universal vectors for operators on spaces of holomorphic functions. Proceedings of the American Mathematical Society, 100(2), 281-281. doi:10.1090/s0002-9939-1987-0884467-4
Kalmes, T. (2006). On chaotic $C_0$-semigroups and infinitely regular hypercyclic vectors. Proceedings of the American Mathematical Society, 134(10), 2997-3002. doi:10.1090/s0002-9939-06-08391-2
Banasiak, J., & Moszyński, M. (2008). Hypercyclicity and chaoticity spaces of $C_0$ semigroups. Discrete & Continuous Dynamical Systems - A, 20(3), 577-587. doi:10.3934/dcds.2008.20.577
UCHI, S. (1973). Semi-groups of operators in locally convex spaces. Journal of the Mathematical Society of Japan, 25(2), 265-276. doi:10.2969/jmsj/02520265
Mangino, E. M., & Peris, A. (2011). Frequently hypercyclic semigroups. Studia Mathematica, 202(3), 227-242. doi:10.4064/sm202-3-2
Conejero, J. A., Martínez-Giménez, F., Peris, A., & Ródenas, F. (2015). Chaotic asymptotic behaviour of the solutions of the Lighthill–Whitham–Richards equation. Nonlinear Dynamics, 84(1), 127-133. doi:10.1007/s11071-015-2245-4
Costakis, G., & Peris, A. (2002). Hypercyclic semigroups and somewhere dense orbits. Comptes Rendus Mathematique, 335(11), 895-898. doi:10.1016/s1631-073x(02)02572-4
Murillo-Arcila, M., & Peris, A. (2014). Chaotic Behaviour on Invariant Sets of Linear Operators. Integral Equations and Operator Theory, 81(4), 483-497. doi:10.1007/s00020-014-2188-z
Murillo-Arcila, M., & Peris, A. (2013). Strong mixing measures for linear operators and frequent hypercyclicity. Journal of Mathematical Analysis and Applications, 398(2), 462-465. doi:10.1016/j.jmaa.2012.08.050
Marchand, R., McDevitt, T., & Triggiani, R. (2012). An abstract semigroup approach to the third-order Moore-Gibson-Thompson partial differential equation arising in high-intensity ultrasound: structural decomposition, spectral analysis, exponential stability. Mathematical Methods in the Applied Sciences, 35(15), 1896-1929. doi:10.1002/mma.1576
Grosse-Erdmann, K.-G. (2000). Hypercyclic and chaotic weighted shifts. Studia Mathematica, 139(1), 47-68. doi:10.4064/sm-139-1-47-68
Birkhoff, G. D. (1922). Surface transformations and their dynamical applications. Acta Mathematica, 43(0), 1-119. doi:10.1007/bf02401754
DESCH, W., SCHAPPACHER, W., & WEBB, G. F. (1997). Hypercyclic and chaotic semigroups of linear
operators. Ergodic Theory and Dynamical Systems, 17(4), 793-819. doi:10.1017/s0143385797084976
Li, T.-Y., & Yorke, J. A. (1975). Period Three Implies Chaos. The American Mathematical Monthly, 82(10), 985-992. doi:10.1080/00029890.1975.11994008
Bernal-González, L. (1999). Hypercyclic Sequences of Differential and Antidifferential Operators. Journal of Approximation Theory, 96(2), 323-337. doi:10.1006/jath.1998.3237
LI, K., & GAO, Z. (2004). NONLINEAR DYNAMICS ANALYSIS OF TRAFFIC TIME SERIES. Modern Physics Letters B, 18(26n27), 1395-1402. doi:10.1142/s0217984904007943
Barrachina, X., & Peris, A. (2012). Distributionally chaotic translation semigroups. Journal of Difference Equations and Applications, 18(4), 751-761. doi:10.1080/10236198.2011.625945
Chang, S.-J., & Chen, C.-C. (2013). Topological mixing for cosine operator functions generated by shifts. Topology and its Applications, 160(2), 382-386. doi:10.1016/j.topol.2012.11.018
Salas, H. N. (1995). Hypercyclic weighted shifts. Transactions of the American Mathematical Society, 347(3), 993-1004. doi:10.1090/s0002-9947-1995-1249890-6
Aron, R. M., Seoane-Sepúlveda, J. B., & Weber, A. (2005). Chaos on function spaces. Bulletin of the Australian Mathematical Society, 71(3), 411-415. doi:10.1017/s0004972700038417
Desch, W., & Schappacher, W. (2008). Hypercyclicity of Semigroups is a Very Unstable Property. Mathematical Modelling of Natural Phenomena, 3(7), 148-160. doi:10.1051/mmnp:2008047
Albanese, A., Barrachina, X., Mangino, E. M., & Peris, A. (2013). Distributional chaos for strongly continuous semigroups of operators. Communications on Pure and Applied Analysis, 12(5), 2069-2082. doi:10.3934/cpaa.2013.12.2069
Conejero, J. A., Lizama, C., & Rodenas, F. (2016). Dynamics of the solutions of the water hammer equations. Topology and its Applications, 203, 67-83. doi:10.1016/j.topol.2015.12.076
Rubinow, S. I. (1968). A Maturity-Time Representation for Cell Populations. Biophysical Journal, 8(10), 1055-1073. doi:10.1016/s0006-3495(68)86539-7
Brzeźniak, Z., & Dawidowicz, A. L. (2008). On periodic solutions to the von Foerster-Lasota equation. Semigroup Forum, 78(1), 118-137. doi:10.1007/s00233-008-9120-2
Frerick, L., Jordá, E., Kalmes, T., & Wengenroth, J. (2014). Strongly continuous semigroups on some Fréchet spaces. Journal of Mathematical Analysis and Applications, 412(1), 121-124. doi:10.1016/j.jmaa.2013.10.053
Rudnicki, R. (2015). An ergodic theory approach to chaos. Discrete & Continuous Dynamical Systems - A, 35(2), 757-770. doi:10.3934/dcds.2015.35.757
JI, L., & WEBER, A. (2009). Dynamics of the heat semigroup on symmetric spaces. Ergodic Theory and Dynamical Systems, 30(2), 457-468. doi:10.1017/s0143385709000133
Ovsepian, R., & Pełczyński, A. (1975). On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in L². Studia Mathematica, 54(2), 149-159. doi:10.4064/sm-54-2-149-159
Conejero, J. A., & Mangino, E. M. (2010). Hypercyclic Semigroups Generated by Ornstein-Uhlenbeck Operators. Mediterranean Journal of Mathematics, 7(1), 101-109. doi:10.1007/s00009-010-0030-7
MARTÍNEZ-GIMÉNEZ, F., & PERIS, A. (2002). CHAOS FOR BACKWARD SHIFT OPERATORS. International Journal of Bifurcation and Chaos, 12(08), 1703-1715. doi:10.1142/s0218127402005418
Banks, J., Brooks, J., Cairns, G., Davis, G., & Stacey, P. (1992). On Devaney’s Definition of Chaos. The American Mathematical Monthly, 99(4), 332-334. doi:10.1080/00029890.1992.11995856
Rolewicz, S. (1969). On orbits of elements. Studia Mathematica, 32(1), 17-22. doi:10.4064/sm-32-1-17-22
Bayart, F., & Grivaux, S. (2005). Hypercyclicity and unimodular point spectrum. Journal of Functional Analysis, 226(2), 281-300. doi:10.1016/j.jfa.2005.06.001
Bayart, F., & Matheron, É. (2007). Hypercyclic operators failing the Hypercyclicity Criterion on classical Banach spaces. Journal of Functional Analysis, 250(2), 426-441. doi:10.1016/j.jfa.2007.05.001
Peris, A., & Saldivia, L. (2005). Syndetically Hypercyclic Operators. Integral Equations and Operator Theory, 51(2), 275-281. doi:10.1007/s00020-003-1253-9
Metz, J. A. J., Staňková, K., & Johansson, J. (2015). The canonical equation of adaptive dynamics for life histories: from fitness-returns to selection gradients and Pontryagin’s maximum principle. Journal of Mathematical Biology, 72(4), 1125-1152. doi:10.1007/s00285-015-0938-4
PROTOPOPESCU, V., & AZMY, Y. Y. (1992). TOPOLOGICAL CHAOS FOR A CLASS OF LINEAR MODELS. Mathematical Models and Methods in Applied Sciences, 02(01), 79-90. doi:10.1142/s0218202592000065
Banasiak, J., & Moszyński, M. (2011). Dynamics of birth-and-death processes with proliferation - stability and chaos. Discrete & Continuous Dynamical Systems - A, 29(1), 67-79. doi:10.3934/dcds.2011.29.67
A. Conejero, J., & Peris, A. (2009). Hypercyclic translation $C_0$-semigroups on complex sectors. Discrete & Continuous Dynamical Systems - A, 25(4), 1195-1208. doi:10.3934/dcds.2009.25.1195
Conejero, J. A. (2007). On the Existence of Transitive and Topologically Mixing Semigroups. Bulletin of the Belgian Mathematical Society - Simon Stevin, 14(3), 463-471. doi:10.36045/bbms/1190994207
Grosse-Erdmann, K.-G. (1999). Universal families and hypercyclic operators. Bulletin of the American Mathematical Society, 36(03), 345-382. doi:10.1090/s0273-0979-99-00788-0
Banasiak, J., Lachowicz, M., & Moszynski, M. (2006). Semigroups for Generalized Birth-and-Death Equations in lp Spaces. Semigroup Forum, 73(2), 175-193. doi:10.1007/s00233-006-0621-x
CONEJERO, J. A., PERIS, A., & TRUJILLO, M. (2010). CHAOTIC ASYMPTOTIC BEHAVIOR OF THE HYPERBOLIC HEAT TRANSFER EQUATION SOLUTIONS. International Journal of Bifurcation and Chaos, 20(09), 2943-2947. doi:10.1142/s0218127410027489
Bermúdez, T., Bonilla, A., Conejero, J. A., & Peris, A. (2005). Hypercyclic, topologically mixing and chaotic semigroups on Banach spaces. Studia Mathematica, 170(1), 57-75. doi:10.4064/sm170-1-3
Aroza, J., & Peris, A. (2012). Chaotic behaviour of birth-and-death models with proliferation. Journal of Difference Equations and Applications, 18(4), 647-655. doi:10.1080/10236198.2011.631535
deLaubenfels, R., Emamirad, H., & Protopopescu, V. (2000). Linear Chaos and Approximation. Journal of Approximation Theory, 105(1), 176-187. doi:10.1006/jath.2000.3465
Aron, R., & Markose, D. (2004). ON UNIVERSAL FUNCTIONS. Journal of the Korean Mathematical Society, 41(1), 65-76. doi:10.4134/jkms.2004.41.1.065
Chang, Y.-H., & Hong, C.-H. (2012). THE CHAOS OF THE SOLUTION SEMIGROUP FOR THE QUASI-LINEAR LASOTA EQUATION. Taiwanese Journal of Mathematics, 16(5), 1707-1717. doi:10.11650/twjm/1500406791
Badea, C., & Grivaux, S. (2007). Unimodular eigenvalues, uniformly distributed sequences and linear dynamics. Advances in Mathematics, 211(2), 766-793. doi:10.1016/j.aim.2006.09.010
Wijngaarden, L. V. (1972). One-Dimensional Flow of Liquids Containing Small Gas Bubbles. Annual Review of Fluid Mechanics, 4(1), 369-396. doi:10.1146/annurev.fl.04.010172.002101
Dyson, J., Villella-Bressan, R., & Webb, G. (1997). Hypercyclicity of solutions of a transport equation with delays. Nonlinear Analysis: Theory, Methods & Applications, 29(12), 1343-1351. doi:10.1016/s0362-546x(96)00192-7
Eringen, A. C. (1990). Theory of thermo-microstretch fluids and bubbly liquids. International Journal of Engineering Science, 28(2), 133-143. doi:10.1016/0020-7225(90)90063-o
Bayart, F., & Bermúdez, T. (2009). Semigroups of chaotic operators. Bulletin of the London Mathematical Society, 41(5), 823-830. doi:10.1112/blms/bdp055
Bernardes, N. C., Bonilla, A., Müller, V., & Peris, A. (2013). Distributional chaos for linear operators. Journal of Functional Analysis, 265(9), 2143-2163. doi:10.1016/j.jfa.2013.06.019
Webb, G. F. (1987). Random transitions, size control, and inheritance in cell population dynamics. Mathematical Biosciences, 85(1), 71-91. doi:10.1016/0025-5564(87)90100-3
Bartoll, S., Martínez-Giménez, F., & Peris, A. (2016). Operators with the specification property. Journal of Mathematical Analysis and Applications, 436(1), 478-488. doi:10.1016/j.jmaa.2015.12.004
Godefroy, G., & Shapiro, J. H. (1991). Operators with dense, invariant, cyclic vector manifolds. Journal of Functional Analysis, 98(2), 229-269. doi:10.1016/0022-1236(91)90078-j
BAYART, F., & RUZSA, I. Z. (2013). Difference sets and frequently hypercyclic weighted shifts. Ergodic Theory and Dynamical Systems, 35(3), 691-709. doi:10.1017/etds.2013.77
Bartoll, S., Martínez-Giménez, F., & Peris, A. (2012). The specification property for backward shifts. Journal of Difference Equations and Applications, 18(4), 599-605. doi:10.1080/10236198.2011.586636
Li, T. (2005). Nonlinear dynamics of traffic jams. Physica D: Nonlinear Phenomena, 207(1-2), 41-51. doi:10.1016/j.physd.2005.05.011
Dawidowicz, A. L., & Poskrobko, A. (2008). On chaotic and stable behaviour of the von Foerster–Lasota equation in some Orlicz spaces. Proceedings of the Estonian Academy of Sciences, 57(2), 61. doi:10.3176/proc.2008.2.01
Aroza, J., Kalmes, T., & Mangino, E. (2014). ChaoticC0-semigroups induced by semiflows in Lebesgue and Sobolev spaces. Journal of Mathematical Analysis and Applications, 412(1), 77-98. doi:10.1016/j.jmaa.2013.10.002
Bès, J., & Peris, A. (1999). Hereditarily Hypercyclic Operators. Journal of Functional Analysis, 167(1), 94-112. doi:10.1006/jfan.1999.3437
Martínez-Giménez, F., Oprocha, P., & Peris, A. (2009). Distributional chaos for backward shifts. Journal of Mathematical Analysis and Applications, 351(2), 607-615. doi:10.1016/j.jmaa.2008.10.049
Murillo-Arcila, M., Miana, P. J., Kostić, M., & Conejero, J. A. (2016). Distributionally chaotic families of operators on Fréchet spaces. Communications on Pure and Applied Analysis, 15(5), 1915-1939. doi:10.3934/cpaa.2016022
Rudnicki, R. (2004). Chaos for some infinite-dimensional dynamical systems. Mathematical Methods in the Applied Sciences, 27(6), 723-738. doi:10.1002/mma.498
Albanese, A. A., Bonet, J., & Ricker, W. J. (2010). <mml:math altimg=«si1.gif» overflow=«scroll» xmlns:xocs=«http://www.elsevier.com/xml/xocs/dtd» xmlns:xs=«http://www.w3.org/2001/XMLSchema» xmlns:xsi=«http://www.w3.org/2001/XMLSchema-instance» xmlns=«http://www.elsevier.com/xml/ja/dtd» xmlns:ja=«http://www.elsevier.com/xml/ja/dtd» xmlns:mml=«http://www.w3.org/1998/Math/MathML» xmlns:tb=«http://www.elsevier.com/xml/common/table/dtd» xmlns:sb=«http://www.elsevier.com/xml/common/struct-bib/dtd» xmlns:ce=«http://www.elsevier.com/xml/common/dtd» xmlns:xlink=«http://www.w3.org/1999/xlink» xmlns:cals=«http://www.elsevier.com/xml/common/cals/dtd»><mml:msub><mml:mi>C</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:math>-semigroups and mean ergodic operators in a class of Fréchet spaces. Journal of Mathematical Analysis and Applications, 365(1), 142-157. doi:10.1016/j.jmaa.2009.10.014
Lasota, A., Mackey, M. C., & Ważewska-Czyżewska, M. (1981). Minimizing therapeutically induced anemia. Journal of Mathematical Biology, 13(2), 149-158. doi:10.1007/bf00275210
Wu, X. (2013). Li–Yorke chaos of translation semigroups. Journal of Difference Equations and Applications, 20(1), 49-57. doi:10.1080/10236198.2013.809712
Costakis, G., & Sambarino, M. (2004). Genericity of wild holomorphic functions and common hypercyclic vectors. Advances in Mathematics, 182(2), 278-306. doi:10.1016/s0001-8708(03)00079-3
Schweizer, B., & Smítal, J. (1994). Measures of chaos and a spectral decomposition of dynamical systems on the interval. Transactions of the American Mathematical Society, 344(2), 737-754. doi:10.1090/s0002-9947-1994-1227094-x
Banasiak, J., Lachowicz, M., & Moszyński, M. (2007). Chaotic behavior of semigroups related to the process of gene amplification–deamplification with cell proliferation. Mathematical Biosciences, 206(2), 200-215. doi:10.1016/j.mbs.2005.08.004
Beauzamy, B. (1987). An operator on a separable Hilbert space with many hypercyclic vectors. Studia Mathematica, 87(1), 71-78. doi:10.4064/sm-87-1-71-78
Dembart, B. (1974). On the theory of semigroups of operators on locally convex spaces. Journal of Functional Analysis, 16(2), 123-160. doi:10.1016/0022-1236(74)90061-5
Muñoz-Fernández, G. A., Seoane-Sepúlveda, J. B., & Weber, A. (2011). Periods of strongly continuous semigroups. Bulletin of the London Mathematical Society, 44(3), 480-488. doi:10.1112/blms/bdr109
KALMES, T. (2007). Hypercyclic, mixing, and chaotic C0-semigroups induced by semiflows. Ergodic Theory and Dynamical Systems, 27(5), 1599-1631. doi:10.1017/s0143385707000144
Bès, J., Menet, Q., Peris, A., & Puig, Y. (2015). Recurrence properties of hypercyclic operators. Mathematische Annalen, 366(1-2), 545-572. doi:10.1007/s00208-015-1336-3
Read, C. J. (1988). The invariant subspace problem for a class of Banach spaces, 2: Hypercyclic operators. Israel Journal of Mathematics, 63(1), 1-40. doi:10.1007/bf02765019
BERNARDES, N. C., BONILLA, A., MÜLLER, V., & PERIS, A. (2014). Li–Yorke chaos in linear dynamics. Ergodic Theory and Dynamical Systems, 35(6), 1723-1745. doi:10.1017/etds.2014.20
Conejero, J. A., Murillo-Arcila, M., & Seoane-Sepúlveda, J. B. (2015). Linear chaos for the Quick-Thinking-Driver model. Semigroup Forum, 92(2), 486-493. doi:10.1007/s00233-015-9704-6
On kinematic waves II. A theory of traffic flow on long crowded roads. (1955). Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 229(1178), 317-345. doi:10.1098/rspa.1955.0089
Jordan, P. M., & Feuillade, C. (2006). On the propagation of transient acoustic waves in isothermal bubbly liquids. Physics Letters A, 350(1-2), 56-62. doi:10.1016/j.physleta.2005.10.004
Alberto Conejero, J., Rodenas, F., & Trujillo, M. (2015). Chaos for the Hyperbolic Bioheat Equation. Discrete & Continuous Dynamical Systems - A, 35(2), 653-668. doi:10.3934/dcds.2015.35.653
Bonet, J., & Peris, A. (1998). Hypercyclic Operators on Non-normable Fréchet Spaces. Journal of Functional Analysis, 159(2), 587-595. doi:10.1006/jfan.1998.3315
Jordan, P. M. (2004). An analytical study of Kuznetsov’s equation: diffusive solitons, shock formation, and solution bifurcation. Physics Letters A, 326(1-2), 77-84. doi:10.1016/j.physleta.2004.03.067
Bayart, F. (2010). Dynamics of holomorphic groups. Semigroup Forum, 82(2), 229-241. doi:10.1007/s00233-010-9284-4
Conejero, J. A., Müller, V., & Peris, A. (2007). Hypercyclic behaviour of operators in a hypercyclic <mml:math altimg=«si1.gif» overflow=«scroll» xmlns:xocs=«http://www.elsevier.com/xml/xocs/dtd» xmlns:xs=«http://www.w3.org/2001/XMLSchema» xmlns:xsi=«http://www.w3.org/2001/XMLSchema-instance» xmlns=«http://www.elsevier.com/xml/ja/dtd» xmlns:ja=«http://www.elsevier.com/xml/ja/dtd» xmlns:mml=«http://www.w3.org/1998/Math/MathML» xmlns:tb=«http://www.elsevier.com/xml/common/table/dtd» xmlns:sb=«http://www.elsevier.com/xml/common/struct-bib/dtd» xmlns:ce=«http://www.elsevier.com/xml/common/dtd» xmlns:xlink=«http://www.w3.org/1999/xlink» xmlns:cals=«http://www.elsevier.com/xml/common/cals/dtd»><mml:msub><mml:mi>C</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:math>-semigroup. Journal of Functional Analysis, 244(1), 342-348. doi:10.1016/j.jfa.2006.12.008
Richards, P. I. (1956). Shock Waves on the Highway. Operations Research, 4(1), 42-51. doi:10.1287/opre.4.1.42
Ansari, S. I. (1995). Hypercyclic and Cyclic Vectors. Journal of Functional Analysis, 128(2), 374-383. doi:10.1006/jfan.1995.1036
Rudnicki, R. (2012). Chaoticity and invariant measures for a cell population model. Journal of Mathematical Analysis and Applications, 393(1), 151-165. doi:10.1016/j.jmaa.2012.03.055
El Mourchid, S., Metafune, G., Rhandi, A., & Voigt, J. (2008). On the chaotic behaviour of size structured cell populations. Journal of Mathematical Analysis and Applications, 339(2), 918-924. doi:10.1016/j.jmaa.2007.07.034
BANASIAK, J., & LACHOWICZ, M. (2002). TOPOLOGICAL CHAOS FOR BIRTH-AND-DEATH-TYPE MODELS WITH PROLIFERATION. Mathematical Models and Methods in Applied Sciences, 12(06), 755-775. doi:10.1142/s021820250200188x
Conejero, J. A., & Peris, A. (2005). Linear transitivity criteria. Topology and its Applications, 153(5-6), 767-773. doi:10.1016/j.topol.2005.01.009
Jordan, P. M., Keiffer, R. S., & Saccomandi, G. (2014). Anomalous propagation of acoustic traveling waves in thermoviscous fluids under the Rubin–Rosenau–Gottlieb theory of dispersive media. Wave Motion, 51(2), 382-388. doi:10.1016/j.wavemoti.2013.08.009
Mourchid, S. E. (2006). The Imaginary Point Spectrum and Hypercyclicity. Semigroup Forum, 73(2), 313-316. doi:10.1007/s00233-005-0533-x
Oprocha, P. (2006). A quantum harmonic oscillator and strong chaos. Journal of Physics A: Mathematical and General, 39(47), 14559-14565. doi:10.1088/0305-4470/39/47/003
Shkarin, S. (2011). On supercyclicity of operators from a supercyclic semigroup. Journal of Mathematical Analysis and Applications, 382(2), 516-522. doi:10.1016/j.jmaa.2010.08.033
Emamirad, H. (1998). Hypercyclicity in the scattering theory for linear transport equation. Transactions of the American Mathematical Society, 350(9), 3707-3716. doi:10.1090/s0002-9947-98-02062-5
Kalisch, G. K. (1972). On operators on separable Banach spaces with arbitrary prescribed point spectrum. Proceedings of the American Mathematical Society, 34(1), 207-207. doi:10.1090/s0002-9939-1972-0315474-7
Banasiak, J., & Moszyński, M. (2005). A generalization of Desch--Schappacher--Webb criteria for chaos. Discrete & Continuous Dynamical Systems - A, 12(5), 959-972. doi:10.3934/dcds.2005.12.959
Desch, W., & Schappacher, W. (2005). On Products of Hypercyclic Semigroups. Semigroup Forum, 71(2), 301-311. doi:10.1007/s00233-005-0523-z
Chan, K., & Shapiro, J. (1991). Indiana University Mathematics Journal, 40(4), 1421. doi:10.1512/iumj.1991.40.40064
Sarkar, R. P. (2013). Chaotic dynamics of the heat semigroup on the Damek-Ricci spaces. Israel Journal of Mathematics, 198(1), 487-508. doi:10.1007/s11856-013-0035-6
Mangino, E. M., & Murillo-Arcila, M. (2015). Frequently hypercyclic translation semigroups. Studia Mathematica, 227(3), 219-238. doi:10.4064/sm227-3-2
Lasota, A. (1981). Stable and chaotic solutions of a first order partial differential equation. Nonlinear Analysis: Theory, Methods & Applications, 5(11), 1181-1193. doi:10.1016/0362-546x(81)90012-2
EL Mourchid, S. (2005). On a hypercylicity criterion for strongly continuous semigroups. Discrete & Continuous Dynamical Systems - A, 13(2), 271-275. doi:10.3934/dcds.2005.13.271
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