Poincaré compactification for \(n\)-dimensional piecewise polynomial vector fields: theory and applications

Cites Work

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Classification of global phase portraits and bifurcation diagrams of Hamiltonian systems with rational potential
Periodic orbits and invariant cones in three-dimensional piecewise linear systems
Geometry of the Poincaré compactification of a four-dimensional food-web system
Generic bifurcations of low codimension of planar Filippov systems
On the global dynamics of a finance model
A generalization of the Poincaré compactification
The continuous matching of two stable linear systems can be unstable
A polynomial counterexample to the Markus-Yamabe conjecture
Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line
Limit cycles of continuous and discontinuous piecewise-linear differential systems in \(\mathbb{R}^3\)
Global dynamics of a mechanical system with dry friction
Unfolding the fold-Hopf bifurcation in piecewise linear continuous differential systems with symmetry
\(Z_2\)-equivariant linear type bi-center cubic polynomial Hamiltonian vector fields
Hopf-like bifurcations and asymptotic stability in a class of 3D piecewise linear systems with applications
Global dynamics of hybrid van der Pol-Rayleigh oscillators
On the existence of limit cycles and invariant surfaces for sewing piecewise linear differential systems on \(\mathbb{R}^3\)
Twenty Hopf-like bifurcations in piecewise-smooth dynamical systems
A generalization of the Poincaré compactification for weight-homogeneous polynomials with weight degree \((1, \ell)\)
Gradient systems of harmonic polynomials
Bifurcations from a center at infinity in 3D piecewise linear systems with two zones
Global dynamics of the Hořava-Lifshitz cosmological system
Global dynamics of 3D competitive Lotka-Volterra equations with the identical intrinsic growth rate
Bounded polynomial vector fields in \(\mathbb{R}^2\) and \(\mathbb{R}^n\)
Poincaré compactification for non-polynomial vector fields
Piecewise smooth vector fields in \(\mathbb{R}^3\) at infinity
Piecewise-smooth dynamical systems. Theory and applications
Saddle-node bifurcation of invariant cones in 3D piecewise linear systems
Numerical simulation of piecewise-linear models of gene regulatory networks using complementarity systems
Prey switching with a linear preference trade-off
Discontinuity-induced bifurcations of piecewise smooth dynamical systems
Bounded Polynomial Vector Fields
Structurally Unstable Quadratic Vector Fields of Codimension One
On Blow-Up Solutions of Differential Equations with Poincaré-Type Compactifications
Invariant manifolds of periodic orbits for piecewise linear three-dimensional systems
Geometric Configurations of Singularities of Planar Polynomial Differential Systems
Global dynamics of a Lotka–Volterra system in ℝ³
The pseudo-Hopf bifurcation and derived attractors in 3D Filippov linear systems with a Teixeira singularity
The Markus–Yamabe conjecture for continuous and discontinuous piecewise linear differential systems
Regularization and Geometry of Piecewise Smooth Systems with Intersecting Discontinuity Sets
On simplifying and classifying piecewise-linear systems
BIFURCATION OF INVARIANT CONES IN PIECEWISE LINEAR HOMOGENEOUS SYSTEMS
Pseudo-Hopf Bifurcation for a Class of 3D Filippov Linear Systems
Mémoire sur les courbes définies par une équation différentielle.
On topological entropy of piecewise smooth vector fields
Dynamics of polynomial Rayleigh-Duffing system near infinity and its global phase portraits with a center
Global dynamics of 3D cooperative Lotka-Volterra system with the identical intrinsic growth rate
Bifurcations in Continuous Piecewise Linear Differential Systems
Topological classifications of a piecewise linear Liénard system with three zones
Homoclinic orbits in three-dimensional continuous piecewise linear generalized Michelson systems
Sliding mode on tangential sets of Filippov systems
An extension of the Poincaré compactification and a geometric interpretation

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