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- Title
On Numerical Integration of Discontinuous Dynamical Systems.
- Authors
Danca, Marius-f.; Fec̆kan, Michal
- Abstract
This paper addresses an important issue in numerical integration of dynamical systems, integer- or fractional-order, with discontinuous vector fields. It is shown that these systems cannot be solved using numerical methods designed for ODEs with continuous functions on the right-hand side, therefore we have to resort to special schemes and procedures in numerical integrations such as continuous approximations of the right-hand sides of the ODEs.
- Subjects
NUMERICAL integration; DYNAMICAL systems; LYAPUNOV exponents; INITIAL value problems; VECTOR fields
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2017, Vol 27, Issue 14, p-1
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S0218127417502182