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Decomposed Reachability Analysis for Nonlinear Systems

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Differential Equations: A Dynamical Systems Approach
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NLTOOLBOX: A Library for Reachability Computation of Nonlinear Dynamical Systems
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Z3: An Efficient SMT Solver
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Computing Reachable States for Nonlinear Biological Models
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Implementing a Rigorous ODE Solver Through Literate Programming
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SpaceEx: Scalable Verification of Hybrid Systems
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Improving SAT Modulo ODE for Hybrid Systems Analysis by Combining Different Enclosure Methods
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Flow*: An Analyzer for Non-linear Hybrid Systems
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dReach: δ-Reachability Analysis for Hybrid Systems
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C2E2: A Verification Tool for Stateflow Models
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Hybridization methods for the analysis of nonlinear systems
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Computing differential invariants of hybrid systems as fixedpoints
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Large-scale dynamic systems: stability and structure
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Validated solutions of initial value problems for ordinary differential equations
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Dynamics of two-component biochemical systems in interacting cells; Synchronization and desynchronization of oscillations and multiple steady states
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Verified Integration of ODEs and Flows Using Differential Algebraic Methods on High-Order Taylor Models
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Mechanisms of noise-resistance in genetic oscillators
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Synchronization of coupled nonidentical genetic oscillators
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A Molecular Network That Produces Spontaneous Oscillations in Excitable Cells of Dictyostelium
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Reachability analysis of nonlinear systems with uncertain parameters using conservative linearization
inferredcites →https://doi.org/10.1109/ms.2001.936213openalex-snapshot
Using simplicity to control complexity
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HYTECH: the next generation
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Hybrid Cyberphysical System Verification with Simplex Using Discrete Abstractions
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Taylor Model Flowpipe Construction for Non-linear Hybrid Systems
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Real-Time Reachability for Verified Simplex Design
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Introduction to Interval Analysis
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Accurate hybridization of nonlinear systems
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A dynamic algorithm for approximate flow computations
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Proofs from simulations and modular annotations
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Compositional construction of approximate abstractions
inferredcites →https://doi.org/10.1145/2728606.2728630openalex-snapshot
HYST
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Graph Theory and Its Applications
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SUPPRESSION OF THE WRAPPING EFFECT BY TAYLOR MODEL- BASED VERIFIED INTEGRATORS: LONG-TERM STABILIZATION BY PRECONDITIONING
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An Introduction to CORA 2015

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Inner Approximations of Reachable Sets for Nonlinear Systems Using the Minkowski Difference
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