Solutions leaving a codimension-\(2\) sliding
From MaRDI portal
Publication:1681763
DOI10.1007/s11071-016-3320-1zbMath1375.34025OpenAlexW2569147996MaRDI QIDQ1681763
Ernst Hairer, Nicola Guglielmi
Publication date: 24 November 2017
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-016-3320-1
regularizationsingular perturbationsasymptotic expansionsdiscontinuous differential equationspiecewise smooth dynamicssliding mode (Filippov) solutions
Implicit ordinary differential equations, differential-algebraic equations (34A09) Discontinuous ordinary differential equations (34A36) Numerical methods for stiff equations (65L04)
Related Items
Resolution of the piecewise smooth visible-invisible two-fold singularity in \(\mathbb {R}^3\) using regularization and blowup, Conservative integrators for piecewise smooth systems with transversal dynamics, Periodic orbits for double regularization of piecewise smooth systems with a switching manifold of codimension two, Regularization and Geometry of Piecewise Smooth Systems with Intersecting Discontinuity Sets, An efficient algorithm for solving piecewise-smooth dynamical systems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Piecewise smooth systems near a co-dimension 2 discontinuity manifold: can one say what should happen?
- Strong realcompactness and strong Dieudonné completeness in topological groups
- Convergence of continuous approximations for discontinuous ODEs
- Stochastically perturbed sliding motion in piecewise-smooth systems
- Filippov solutions in the analysis of piecewise linear models describing gene regulatory networks
- Dynamics of actively regulated gene networks
- Foundations of a theory of discontinuous systems. II
- Regularizing piecewise smooth differential systems: co-dimension 2 discontinuity surface
- A comparison of Filippov sliding vector fields in codimension 2
- Sliding motion on the intersection of two manifolds: spirally attractive case
- Piecewise-smooth dynamical systems. Theory and applications
- Contraction analysis of switched systems via regularization
- Sliding motion on discontinuity surfaces of high co-dimension. A construction for selecting a Filippov vector field
- Numerical simulation of piecewise-linear models of gene regulatory networks using complementarity systems
- Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
- Regularization of hidden dynamics in piecewise smooth flows
- Hidden dynamics in models of discontinuity and switching
- Combinatorial explosion in model gene networks
- Dynamics at a Switching Intersection: Hierarchy, Isonomy, and Multiple Sliding
- Classification of Hidden Dynamics in Discontinuous Dynamical Systems
- On a dangerous property of methods for stiff differential equations
- Sliding vector fields for non-smooth dynamical systems having intersecting switching manifolds
- Exit from sliding in piecewise-smooth flows: Deterministic vs. determinacy-breaking
- Discontinuous dynamical systems
