Three-dimensional forced-damped dynamical systems with rich dynamics: bifurcations, chaos and unbounded solutions

DOI10.1016/j.physd.2015.09.001zbMath1364.34063OpenAlexW1504312773MaRDI QIDQ2396255

Hisashi Okamoto, Tomoyuki Miyaji, Alex D. D. Craik

Publication date: 7 June 2017

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10023/9468

zbMATH Keywords

Lyapunov functionasymptotic analysisthree-dimensional dynamical systemperiod-doubling cascades to chaos

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (6)

Three-dimensional forced-damped dynamical systems with rich dynamics: bifurcations, chaos and unbounded solutions ⋮ The connection between the dynamical properties of 3D systems and the image of the energy-Casimir mapping ⋮ On the global dynamics of a three-dimensional forced-damped differential system ⋮ Five new 4-D autonomous conservative chaotic systems with various type of non-hyperbolic and lines of equilibria ⋮ On the Darboux integrability of a three–dimensional forced–damped differential system ⋮ Chaotic motion and control of the driven-damped double sine-Gordon equation

Uses Software

• AUTO
• AUTO-07P

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