TY  - CHAP
N2  - We present ERODE, a multi-platform tool for the solution and exact reduction of systems of ordinary differential equations (ODEs). ERODE supports two recently introduced, complementary, equivalence relations over ODE variables: forward differential equivalence yields a self-consistent aggregate system where each ODE gives the cumulative dynamics of the sum of the original variables in the respective equivalence class. Backward differential equivalence identifies variables that have identical solutions whenever starting from the same initial conditions. As back-end ERODE uses the well-known Z3 SMT solver to compute the largest equivalence that refines a given initial partition of ODE variables. In the special case of ODEs with polynomial derivatives of degree at most two (covering affine systems and elementary chemical reaction networks), it implements a more efficient partition-refinement algorithm in the style of Paige and Tarjan. ERODE comes with a rich development environment based on the Eclipse plug-in framework offering: (i) seamless project management; (ii) a fully-featured text editor; and (iii) importing-exporting capabilities.
ID  - eprints3766
T3  - Lecture Notes in Computer Science
SP  - 310
SN  - 978-3-662-54580-5
AV  - none
PB  - Springer
UR  - https://doi.org/10.1007/978-3-662-54580-5_19
T2  - Tools and Algorithms for the Construction and Analysis of Systems. TACAS 2017
A1  - Cardelli, Luca
A1  - Tribastone, Mirco
A1  - Tschaikowski, Max
A1  - Vandin, Andrea
CY  - Berlin
TI  - ERODE: A Tool for the Evaluation and Reduction of Ordinary Differential Equations
EP  - 328
Y1  - 2017///
ER  -