Bifurcations of a Bouncing Ball Dynamical System

DOI10.1142/S0218127419501918zbMath1432.39010OpenAlexW2997899671WikidataQ126465800 ScholiaQ126465800MaRDI QIDQ5211090

Shengfu Deng

Publication date: 20 January 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127419501918

zbMATH Keywords

homoclinic bifurcationflip bifurcationinvariant circlePoincaré bifurcationChenciner bifurcation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Stability theory for difference equations (39A30) Applications of difference equations (39A60) Bifurcation theory for difference equations (39A28)

Related Items

Analysis of Degenerate Chenciner Bifurcation

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Chaotic dynamics of a bouncing ball
• Applications of centre manifold theory
• Elements of applied bifurcation theory.
• Dynamics of an elastic ball bouncing on an oscillating plane and the oscillon
• A system with three limit cycles appearing in a Hopf bifurcation and dying in a homoclinic bifurcation: The cusp of order 4
• An analytical and numerical study of chaotic dynamics in a simple bouncing ball model
• The dynamics of repeated impacts with a sinusoidally vibrating table
• On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
• Analysis of a random repeated impact process
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Chaotic Dynamics
• On the Origin of the Cosmic Radiation
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