Saddle-point solutions and grazing bifurcations in an impacting system

DOI10.1063/1.3673786zbMath1331.37069OpenAlexW2014416969WikidataQ51391938 ScholiaQ51391938MaRDI QIDQ2787703

Joanna F. Mason, Petri T. Piiroinen

Publication date: 4 March 2016

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3673786

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (5)

Global analysis of boundary and interior crises in an elastic impact oscillator ⋮ Bifurcation techniques for stiffness identification of an impact oscillator ⋮ Use of degeneration to stabilize near grazing periodic motion in impact oscillators ⋮ Semi-analytical method to study piecewise linear oscillators ⋮ Chaotic attractor of the normal form map for grazing bifurcations of impact oscillators

Cites Work

• Local analysis of co-dimension-one and co-dimension-two grazing bifurcations in impact micro\-actuators
• Basin boundary metamorphoses: Changes in accessible boundary orbits
• Piecewise-smooth dynamical systems. Theory and applications
• Coexisting solutions and bifurcations in mechanical oscillators with backlash
• Boundary crisis bifurcation in two parameters
• Bifurcations in Nonsmooth Dynamical Systems
• Singularities in vibro-impact dynamics
• Chattering and related behaviour in impact oscillators
• Basins of Attraction and Transient Chaos in a Gear-Rattling Model
• Crises, sudden changes in chaotic attractors, and transient chaos
• The Effect of Codimension-Two Bifurcations on the Global Dynamics of a Gear Model
• Discontinuity Induced Bifurcations of Nonhyperbolic Cycles in Nonsmooth Systems

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