6 problems

The regular-equilibrium forcing conjecture for glacial cycles
Consider the piecewise-smooth glacial cycles system, with a regular equilibrium or two regular equilibria located close to the discontinuity boundary. Regular-equilibrium forcing c…
openFrom papersforced-oscillators glacial-cycles piecewise-smooth-systems
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8
The attracting-periodic-orbit conjecture for equilibrium types
Consider the piecewise-defined system of equations and classify its attracting equilibria as regular, boundary, or virtual according to their locations relative to the switching do…
openFrom papersglacial-cycles limit-cycles piecewise-smooth-systems
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8
The two-attracting-equilibria conjecture for the glacial cycles model
Let … For the piecewise-defined system, call an equilibrium regular if it lies in its associated domain, boundary if it lies on the boundary between domains and is an equilibrium o…
openFrom papersdynamical-systems glacial-cycles piecewise-smooth-systems
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8
The triggering-of-deglaciation conjecture in the glacial cycles model
Consider the autonomous system of equations and its equilibria, classified as regular, boundary, or virtual according to their location relative to the switching boundary. Triggeri…
openFrom papersdynamical-systems glacial-cycles piecewise-smooth-systems
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6
Boundary equilibrium bifurcation under variation of an ablation parameter
Consider the piecewise glacial cycles system … exhibits a boundary equilibrium bifurcation. The claim concerns parameter-driven changes in the type of equilibrium, but the supplied…
openFrom papersbifurcation-theory dynamical-systems piecewise-smooth-systems
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3
Conjecture on the connection of periodic-orbit families in case $VI_3^\epsilon$
Consider the regularized planar piecewise smooth system in case $VI_3^\epsilon$ , with the two families of periodic orbits obtained respectively in Proposition and Proposition. Peri…
openFrom paperscanard-explosion limit-cycles piecewise-smooth-systems
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4

6 problems

The regular-equilibrium forcing conjecture for glacial cycles

The attracting-periodic-orbit conjecture for equilibrium types

The two-attracting-equilibria conjecture for the glacial cycles model

The triggering-of-deglaciation conjecture in the glacial cycles model

Boundary equilibrium bifurcation under variation of an ablation parameter

Conjecture on the connection of periodic-orbit families in case VI3ϵVI_3^\epsilonVI3ϵ​

Conjecture on the connection of periodic-orbit families in case $VI_3^\epsilon$