On time reparametrizations and isomorphisms of impulsive dynamical systems

• Autorzy: Krzysztof Ciesielski
• Języki publikacji: EN

Abstrakty

EN

We prove that for a given impulsive dynamical system there exists an isomorphism of the basic dynamical system such that in the new system equipped with the same impulse function each impulsive trajectory is global, i.e. the resulting dynamics is defined for all positive times. We also prove that for a given impulsive system it is possible to change the topology in the phase space so that we may consider the system as a semidynamical system (without impulses).

Kategorie tematyczne

• 54H20: Topological dynamics
• 34A37: Differential equations with impulses
• 37B99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2004
• Tom: 84
• Numer: 1
• Strony: 1-25

Daty

wydano

2004

Twórcy

autor

Krzysztof Ciesielski

• Mathematics Institute, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Identyfikatory

DOI

10.4064/ap84-1-1