Shrinking point bifurcations of resonance tongues for piecewise-smooth, continuous maps
From MaRDI portal
Publication:3628732
DOI10.1088/0951-7715/22/5/009zbMath1175.37056arXiv0809.3510OpenAlexW3102140334MaRDI QIDQ3628732
David J. W. Simpson, James D. Meiss
Publication date: 20 May 2009
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.3510
switching manifoldsborder-collision bifurcationsresonance tonguespiecewise-smooth mapsshrinking points
Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Rotation numbers and vectors (37E45)
Related Items (16)
LOCAL AND GLOBAL BIFURCATIONS IN THREE-DIMENSIONAL, CONTINUOUS, PIECEWISE SMOOTH MAPS ⋮ TORUS BIFURCATIONS IN MULTILEVEL CONVERTER SYSTEMS ⋮ Sequences of Periodic Solutions and Infinitely Many Coexisting Attractors in the Border-Collision Normal Form ⋮ The structure of mode-locking regions of piecewise-linear continuous maps: II. Skew sawtooth maps ⋮ Scaling Laws for Large Numbers of Coexisting Attracting Periodic Solutions in the Border-Collision Normal Form ⋮ Jitter in Piecewise-Smooth Dynamical Systems with Intersecting Discontinuity Surfaces ⋮ Unfolding homoclinic connections formed by corner intersections in piecewise-smooth maps ⋮ Coexisting tori and torus bubbling in non-smooth systems ⋮ Border-collision bifurcations and Arnol'd tongues in two coupled piecewise-constant oscillators ⋮ Subsumed Homoclinic Connections and Infinitely Many Coexisting Attractors in Piecewise-Linear Maps ⋮ Bifurcation patterns in homogeneous area-preserving piecewise-linear maps ⋮ Border-Collision Bifurcations in $\mathbb{R}^N$ ⋮ Border-collision bifurcations in a driven time-delay system ⋮ Unfolding Codimension-Two Subsumed Homoclinic Connections in Two-Dimensional Piecewise-Linear Maps ⋮ Nested Closed Invariant Curves in Piecewise Smooth Maps ⋮ Critical curves of a piecewise linear map
This page was built for publication: Shrinking point bifurcations of resonance tongues for piecewise-smooth, continuous maps
