Classification of Continuous Flows on 2-Manifolds
From MaRDI portal
Publication:4064347
DOI10.2307/2040695zbMath0307.34044OpenAlexW4238415434MaRDI QIDQ4064347
Publication date: 1975
Full work available at URL: https://doi.org/10.2307/2040695
Measure-preserving transformations (28D05) Ordinary differential equations and systems on manifolds (34C40) Dynamical systems and ergodic theory (37-XX)
Related Items (93)
On the dynamics of the Szekeres system ⋮ Dynamics of a competitive Lotka-Volterra systems in \(\mathbb{R}^3\) ⋮ Refinements of topological invariants of flows ⋮ Phase portraits of the complex Abel polynomial differential systems ⋮ Phase portraits of linear type centers of polynomial Hamiltonian systems with Hamiltonian function of degree 5 of the form \(H = H_1(x)+H_2(y)\) ⋮ Phase portraits for quadratic systems having a focus and one antisaddle ⋮ Global phase portraits of quadratic systems with a complex ellipse as invariant algebraic curve ⋮ On the birth and death of algebraic limit cycles in quadratic differential systems ⋮ Classification of global phase portraits and bifurcation diagrams of Hamiltonian systems with rational potential ⋮ Phase portraits of Abel quadratic differential systems of the second kind ⋮ Centers and limit cycles of polynomial differential systems of degree \(4\) via averaging theory ⋮ Algebraic Limit Cycles Bifurcating from Algebraic Ovals of Quadratic Centers ⋮ Planar Kolmogorov Systems with Infinitely Many Singular Points at Infinity ⋮ Phase portraits of the Leslie-Gower system ⋮ Quadratic systems with an invariant conic having Darboux invariants ⋮ Linear type centers of polynomial Hamiltonian systems with nonlinearities of degree 4 symmetric with respect to the \(\mathrm{y}\)-axis ⋮ On the Abel differential equations of third kind ⋮ Structurally unstable quadratic vector fields of codimension two: families possessing either a cusp point or two finite saddle-nodes ⋮ Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems ⋮ Nilpotent Center in a Continuous Piecewise Quadratic Polynomial Hamiltonian Vector Field ⋮ Triangularization methods in the transformation theory of planar dynamical systems. I: Graph representation of totally regular dynamical systems ⋮ On parameter space of complex polynomial vector fields in \(\mathbb{C}\) ⋮ Dynamics of singular complex analytic vector fields with essential singularities I ⋮ Dynamics of the cubic Darboux systems ⋮ Phase portraits of two classes of quadratic differential systems exhibiting as solutions two cubic algebraic curves ⋮ Phase portraits for some symmetric Riccati cubic polynomial differential equations ⋮ Unnamed Item ⋮ Structurally unstable quadratic vector fields of codimension two: families possessing one finite saddle-node and a separatrix connection ⋮ Phase portraits of planar semi-homogeneous vector fields. III ⋮ Global phase portraits of uniform isochronous centers with quartic homogeneous polynomial nonlinearities ⋮ Nilpotent bi-center in continuous piecewise \(\mathbb{Z}_2\)-equivariant cubic polynomial Hamiltonian systems ⋮ On the planar integrable differential systems ⋮ On structural stability of evolutionary stable strategies ⋮ Global dynamics of a system coming from the study of a static star ⋮ Qualitative study of the Selkov model ⋮ Weierstrass integrability in Liénard differential systems ⋮ New family of cubic Hamiltonian centers ⋮ Global dynamics of a class of planar semi-homogeneous polynomial vector fields with degree \(2-3\) ⋮ Morse flows with fixed points on the boundary of 3-manifolds ⋮ Evolutionary stable strategies and cubic vector fields ⋮ On the cubic Kukles systems with an algebraic limit cycle of degree two ⋮ Dynamics of a family of Lotka-Volterra systems in \(\mathbb{R}^3\) ⋮ Polynomial first integrals of quadratic systems. ⋮ Classification of dynamical systems based on a decomposition of their vector fields ⋮ A characterization of multiplicity-preserving global bifurcations of complex polynomial vector fields ⋮ Global dynamics in a restricted five vortices problem on the plane ⋮ Phase portraits of continuous piecewise linear Liénard differential systems with three zones ⋮ Phase portraits of planar semi-homogeneous vector fields-I ⋮ Unnamed Item ⋮ Centers of quasi-homogeneous polynomial differential equations of degree three ⋮ A converse topological stability theorem for flows on surfaces ⋮ Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields ⋮ Hamiltonian linear type centers of linear plus cubic homogeneous polynomial vector fields ⋮ Bifurcation values for a family of planar vector fields of degree five ⋮ Plane foliations with a saddle singularity ⋮ Global \({C}^{\infty}\) integrability of cubic-linear polynomial differential systems ⋮ Reversible nilpotent centers with cubic homogeneous nonlinearities ⋮ Asymptotics and stability of the delayed Duffing equation ⋮ Global phase portraits and bifurcation diagrams for Hamiltonian systems of linear plus quartic homogeneous polynomials symmetric with respect to the \(y\)-axis ⋮ On a class of polynomial differential systems of degree 4: phase portraits and limit cycles ⋮ \(Z_2\)-equivariant linear type bi-center cubic polynomial Hamiltonian vector fields ⋮ Planar Kolmogorov Systems Coming from Spatial Lotka–Volterra Systems ⋮ Phase portraits of a family of Kolmogorov systems with infinitely many singular points at infinity ⋮ Qualitative study of a model with Rastall gravity ⋮ The classification on the global phase portraits of two-dimensional Lotka-Volterra system ⋮ Global qualitative dynamics of the Brusselator system ⋮ Dynamics of the Higgins-Selkov and Selkov systems ⋮ Phase portraits of Abel quadratic differential systems of second kind with symmetries ⋮ Darboux integrability and reversible quadratic vector fields ⋮ Global structure of continuous flows on 2-manifolds ⋮ Bifurcation diagram and stability for a one-parameter family of planar vector fields ⋮ On the differentiability of first integrals of two dimensional flows ⋮ Unnamed Item ⋮ Darboux integrability and dynamics of the Basener-Ross population model ⋮ Quadratic slow-fast systems on the plane ⋮ Dynamics of the FitzHugh-Nagumo system having invariant algebraic surfaces ⋮ On the Markus-Neumann theorem ⋮ Qualitative classification of singular points ⋮ Global phase portraits and bifurcation diagrams for reversible equivariant Hamiltonian systems of linear plus quartic homogeneous polynomials ⋮ On the global dynamics and integrability of the chemostat system ⋮ Dynamics of the Szekeres system ⋮ Phase portraits of (2;0) reversible vector fields with symmetrical singularities ⋮ The centers and their cyclicity for a class of polynomial differential systems of degree 7 ⋮ Structurally stable quadratic foliations ⋮ Phase portraits of the quadratic polynomial Liénard differential systems ⋮ Unnamed Item ⋮ Separate variable blow-up patterns for a reaction-diffusion equation with critical weighted reaction ⋮ Phase portraits of the Selkov model in the Poincaré disc ⋮ New family of centers of planar polynomial differential systems of arbitrary even degree ⋮ On the integrability of two-dimensional flows ⋮ Phase portraits of uniform isochronous quartic centers ⋮ Global phase portraits of quadratic polynomial differential systems having as solution some classical planar algebraic curves of degree 6 ⋮ Algebraic and topological classification of homogeneous quartic vector fields in the plane
Cites Work
This page was built for publication: Classification of Continuous Flows on 2-Manifolds
