Chaotic dynamics in a vertically driven planar pendulum
DOI10.1016/j.na.2009.08.030zbMath1191.34057OpenAlexW4229634679MaRDI QIDQ2653971
Publication date: 15 January 2010
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2009.08.030
periodic solutionschaotic dynamicslinked twist mappingsnonlinear second order ODEstime-mapsvertically driven pendulum
Periodic solutions to ordinary differential equations (34C25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Dynamical aspects of twist maps (37E40)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A geometric method for detecting chaotic dynamics
- A model for seasonal phytoplankton blooms
- Towards a computer-assisted proof for chaos in a forced damped pendulum equation
- Seasonal dynamics and thresholds governing recurrent epidemics
- Transversal heteroclinic points and Cherry's example of a nonintegrable Hamiltonian system
- The forced pendulum: A paradigm for nonlinear analysis and dynamical systems
- Chaos in the Duffing equation
- Finding a horseshoe on the beaches of Rio
- Generic-type results for chaotic dynamics in equations with periodic forcing terms
- Superlinear indefinite equations on the real line and chaotic dynamics
- Exponential dichotomies and transversal homoclinic points
- Covering relations for multidimensional dynamical systems
- A geometric criterion for positive topological entropy
- Isolating segments, fixed point index, and symbolic dynamics
- Example of a suspension bridge ODE model exhibiting chaotic dynamics: a topological approach
- Une généralisation de théorèmes de J. A. Marlin
- Topological horseshoes
- A Chaos Lemma
- Abundance of homoclinic and heteroclinic orbits and rigorous bounds for the topological entropy for the Hénon map
- The Forced Damped Pendulum: Chaos, Complication and Control
- On the Definition of Chaos
- Stable and Random Motions in Dynamical Systems
- A Computer-Assisted Proof of $\Sigma_3$-Chaos in the Forced Damped Pendulum Equation
- On the Detection and Dynamical Consequences of Orbits Homoclinic to Hyperbolic Periodic Orbits and Normally Hyperbolic Invariant Tori in a Class of Ordinary Differential Equations
- Chaotic Motion of a Pendulum with Oscillatory Forcing
- On the dynamics of a vertically driven damped planar pendulum
This page was built for publication: Chaotic dynamics in a vertically driven planar pendulum