Chaotic dynamics and reversal statistics of the forced spherical pendulum: comparing the Miles equations with experiment
DOI10.1080/14689360902751574zbMath1191.37021OpenAlexW2069684022WikidataQ61982088 ScholiaQ61982088MaRDI QIDQ3553525
Julyan H. E. Cartwright, David J. Tritton
Publication date: 21 April 2010
Published in: Dynamical Systems (Search for Journal in Brave)
Full work available at URL: http://www.informaworld.com/smpp/content~db=all~content=a919233059
Forced motions for nonlinear problems in mechanics (70K40) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Dynamical systems in solid mechanics (37N15) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Geo-electricity and geomagnetism (86A25)
Cites Work
- Resonant motion of a spherical pendulum
- Computing global orbits of the forced spherical pendulum
- Lyapunov exponents for the Miles' spherical pendulum equations
- Bifurcations of the horizontally forced spherical pendulum
- Breakdown to chaotic motion of a forced, damped, spherical pendulum
- An analysis of two-dimensional water waves based on O(2) symmetry
- Robert Hooke's conical pendulum from the modern viewpoint of amplitude equations and its optical analogues
- Resonantly forced surface waves in a circular cylinder
- The recently recognized failure of predictability in Newtonian dynamics
- Strange Attractors in Fluid Dynamics
- THE DYNAMICS OF RUNGE–KUTTA METHODS
- Deterministic Nonperiodic Flow
