Parametric topological entropy and differential equations with time-dependent impulses III: Implicit case
Abstract
Topological entropy is studied for implicit differential equations and inclusions with nonautonomous multivalued impulses on tori. The transformation from an implicit into an explicit form is performed by means of the essential fixed point theory. The new entropy definitions are given on orbits of coincidences for compositions of the associated Poincaré translation operators with admissible time-dependent impulses. The effective criteria for a positive entropy are established via multivalued selections in terms of the asymptotic Lefschetz numbers. Two simple illustrative examples are supplied.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Quantum chaos and dynamical systems
Nonlinear Dynamics and Pattern Formation
Publication details
- Journal / source
- Journal of Differential Equations
- Volume
- 478
- Pages
- 114573–114573
- Publication date
- 8 June 2026
- Language
- EN