Invariant Probability Measures and Non-wandering Sets for Impulsive Semiflows

Baĭnov D. D., Simeonov P. S.: Systems with impulse effect. Stability, Theory and Applications. Ellis Horwood Series: Mathematics and its Applications. Ellis Horwood Ltd., Chichester (1989)

Bonotto, E.M.: Flows of characteristic $$0^+$$ 0 + in impulsive semidynamical systems. J. Math. Anal. Appl. 332(1), 81–96 (2007)

Bonotto, E.M., Federson, M.: Topological conjugation and asymptotic stability in impulsive semidynamical systems. J. Math. Anal. Appl. 326(2), 869–881 (2007)

Bonotto, E.M., Federson, M.: Limit sets and the Poincaré–Bendixson theorem in impulsive semidynamical systems. J. Differ. Equ. 244(9), 2334–2349 (2008)

Bowen, R., Ruelle, D.: The ergodic theory of Axiom A flows. Invent. Math. 29, 181–202 (1975)

Choisy, M., Guégan, J.-F., Rohani, P.: Dynamics of infectious diseases and pulse vaccination: teasing apart the embedded resonance effects. Physica D 223(1), 26–35 (2006)

Ciesielski, K.: On semicontinuity in impulsive dynamical systems. Bull. Pol. Acad. Sci. Math. 52(1), 71–80 (2004)

Ciesielski, K.: On stability in impulsive dynamical systems. Bull. Pol. Acad. Sci. Math. 52(1), 81–91 (2004)

Dishliev, A.B., Baĭnov, D.D.: Dependence upon initial conditions and parameter of solutions of impulsive differential equations with variable structure. Int. J. Theor. Phys. 29(6), 655–675 (1990)

d’Onofrio, A.: On pulse vaccination strategy in the SIR epidemic model with vertical transmission. Appl. Math. Lett. 18(7), 729–732 (2005)

Erbe, L.H., Freedman, H.I., Liu, X., Wu, J.H.: Comparison principles for impulsive parabolic equations with applications to models of single species growth. J. Austral. Math. Soc. Ser. B 32(4), 382–400 (1991)

Halmos P. R.: Lectures on ergodic theory. Publications of the Mathematical Society of Japan, no. 3. The Mathematical Society of Japan, 1956.

Jiang, G., Lu, Q.: Impulsive state feedback control of a predator–prey model. J. Comput. Appl. Math. 200(1), 193–207 (2007)

Kaul, S.K.: Stability and asymptotic stability in impulsive semidynamical systems. J. Appl. Math. Stoch. Anal. 7(4), 509–523 (1994)

Kryloff, N., Bogoliouboff, N.: La théorie générale de la mesure dans son application à l’étude des systèmes dynamiques de la mécanique non linéaire. Ann. of Math. (2), 38(1):65–113 (1937)

Lakshmikantham, V., Baĭnov, D.D., Simeonov, P.S.: Theory of Impulsive Differential Equations. Modern Applied Mathematics, vol. 6. World Scientific Publishing Co., Inc., Teaneck (1989)

Liu, J.H.: Nonlinear impulsive evolution equations. Dyn. Contin. Discret. Impuls. Syst. 6(1), 77–85 (1999)

Nenov S.I.: Impulsive controllability and optimization problems in population dynamics. Nonlinear Anal. 36(7, Ser. A: Theory Methods):881–890 (1999)

Palis, J.: On the $$C^1$$ C 1 $$\Omega $$ Ω -stability conjecture. Inst. Hautes Études Sci. Publ. Math. 66, 211–215 (1988)

Purves, R.: Bimeasurable functions. Fundam. Math. 58, 149–157 (1966)

Rogovchenko, Y.V.: Impulsive evolution systems: main results and new trends. Dyn. Contin. Discret. Impuls. Syst. 3(1), 57–88 (1997)

Smale S.: The $$\Omega $$ Ω -stability theorem. In Global Analysis (Proceedings of the Symposium on Pure Mathematics, Vol. XIV, Berkeley, Calif., 1968), pp. 289–297. American Mathematical Society, Providence (1970)

Thorne, K.: Black Holes and Time Warps: Einstein’s Outrageous Legacy. W.W Norton, Commonwealth Fund Book Program (1994)

Visser, M.: Lorentzian Wormholes - From Einstein to Hawking. American Institute of Physics Press, Springer-Verlag, New York (1996)

Walters, P.: An Introduction to Ergodic Theory. Graduate Texts in Mathematics, vol. 79. Springer, New York (1982)

Willard, S.: General Topology. Series in Mathematics. Addison-Wesley, Reading (1970)

Zavalishchin, S.T.: Impulse dynamic systems and applications to mathematical economics. Dyn. Syst. Appl. 3(3), 443–449 (1994)