Controlling unpredictability in the randomly driven Hénon-Heiles system

DOI10.1016/J.CNSNS.2013.05.009zbMath1344.37066OpenAlexW2061623084MaRDI QIDQ312855

Mattia Coccolo, Miguel A. F. Sanjuán, Jesús M. Seoane

Publication date: 9 September 2016

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2013.05.009

zbMATH Keywords

controlnonlinear dynamicschaotic scatteringunpredictabilityHénon-HeilesWada basins

Mathematics Subject Classification ID

Ordinary differential equations and systems with randomness (34F05) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Chaos control for problems involving ordinary differential equations (34H10)

Related Items (8)

WADA BASINS IN AN UNCONTROLLED AND CONTROLLED VIBRATION ISOLATION SYSTEM ⋮ An overview of the escape dynamics in the Hénon-Heiles Hamiltonian system ⋮ WADA FRACTAL BASINS OF ATTRACTION IN A ZERO-STIFFNESS VIBRATION ISOLATION SYSTEM ⋮ Dynamical analysis of bounded and unbounded orbits in a generalized Hénon-Heiles system ⋮ A New Formulation of a Hénon–Heiles Potential with Additional Singular Gravitational Terms ⋮ Classifying orbits in the classical Hénon-Heiles Hamiltonian system ⋮ Multiple nested basin boundaries in nonlinear driven oscillators ⋮ Basin reversal in nonlinear driven oscillators

Cites Work

• Exponential decay and scaling laws in noisy chaotic scattering
• Bifurcation to chaotic scattering
• Forward symplectic integrators for solving gravitational few-body problems
• Basins of Wada
• Fractal properties of escape from a two-dimensional potential
• ESCAPING DYNAMICS IN THE PRESENCE OF DISSIPATION AND NOISE IN SCATTERING SYSTEMS
• Basin topology in dissipative chaotic scattering
• WADA BASIN BOUNDARIES IN CHAOTIC SCATTERING
• Controlling chaos
• Taming chaotic dynamics with weak periodic perturbations
• CHAOTIFYING A CONTINUOUS-TIME SYSTEM VIA IMPULSIVE INPUT
• Multistability and the control of complexity
• Topology in chaotic scattering

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