Arnol$'$d Tongues Arising from a Grazing-Sliding Bifurcation

DOI10.1137/09076235XzbMath1210.70018OpenAlexW1998250672WikidataQ114476409 ScholiaQ114476409MaRDI QIDQ3643418

Hinke M. Osinga, Robert Szalai

Publication date: 11 November 2009

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/09076235x

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Local and nonlocal bifurcation theory for dynamical systems (37G99) Nonlinear resonances for nonlinear problems in mechanics (70K30) Normal forms for nonlinear problems in mechanics (70K45)

Related Items (15)

Stability of cycling behaviour near a heteroclinic network model of Rock–Paper–Scissors–Lizard–Spock ⋮ Sensitivity analysis for periodic orbits and quasiperiodic invariant tori using the adjoint method ⋮ The structure of mode-locking regions of piecewise-linear continuous maps: II. Skew sawtooth maps ⋮ Nested mixed-mode oscillations. III: Comparison of bifurcation structures between a driven Bonhoeffer-van der Pol oscillator and Nagumo-Sato piecewise-linear discontinuous one-dimensional map ⋮ Border-collision bifurcations from stable fixed points to any number of coexisting chaotic attractors ⋮ Border-collision bifurcations and Arnol'd tongues in two coupled piecewise-constant oscillators ⋮ Nested mixed-mode oscillations ⋮ One-dimensional chaos in a system with dry friction: analytical approach ⋮ Model reduction of non-densely defined piecewise-smooth systems in Banach spaces ⋮ Border-Collision Bifurcations in $\mathbb{R}^N$ ⋮ Sliding homoclinic bifurcations in a Lorenz-type system: Analytic proofs ⋮ The stability of fixed points on switching manifolds of piecewise-smooth continuous maps ⋮ Mixed-mode oscillations from a constrained extended Bonhoeffer–van der Pol oscillator with a diode ⋮ Grazing-Sliding Bifurcations Creating Infinitely Many Attractors ⋮ Nested mixed-mode oscillations. II: Experimental and numerical study of a classical Bonhoeffer-van der Pol oscillator

This page was built for publication: Arnol$'$d Tongues Arising from a Grazing-Sliding Bifurcation