Unfolding Codimension-Two Subsumed Homoclinic Connections in Two-Dimensional Piecewise-Linear Maps
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Publication:5221676
DOI10.1142/S0218127420300062zbMath1441.37056arXiv1907.02653MaRDI QIDQ5221676
Publication date: 3 April 2020
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.02653
Dynamical systems with hyperbolic orbits and sets (37D05) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)
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Cites Work
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- On cascades of elliptic periodic points in two-dimensional symplectic maps with homoclinic tangencies
- On two-dimensional area-preserving maps with homoclinic tangencies that have infinitely many generic elliptic periodic points
- Border-collision bifurcations including ``period two to period three for piecewise smooth systems
- Successive homoclinic tangencies to a limit cycle
- Border-Collision Bifurcations in $\mathbb{R}^N$
- Scaling Laws for Large Numbers of Coexisting Attracting Periodic Solutions in the Border-Collision Normal Form
- The structure of mode-locking regions of piecewise-linear continuous maps: I. Nearby mode-locking regions and shrinking points
- Sequences of Periodic Solutions and Infinitely Many Coexisting Attractors in the Border-Collision Normal Form
- Embedding of a Dim1 Piecewise Continuous and Linear Leonov Map into a Dim2 Invertible Map
- Shrinking point bifurcations of resonance tongues for piecewise-smooth, continuous maps
- Unfolding homoclinic connections formed by corner intersections in piecewise-smooth maps
- Infinitely Many Coexisting Sinks from Degenerate Homoclinic Tangencies
- Multistability and arithmetically period-adding bifurcations in piecewise smooth dynamical systems
- Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps
- ON THREE-DIMENSIONAL DYNAMICAL SYSTEMS CLOSE TO SYSTEMS WITH A STRUCTURALLY UNSTABLE HOMOCLINIC CURVE. I
- Subsumed Homoclinic Connections and Infinitely Many Coexisting Attractors in Piecewise-Linear Maps
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