Determining the Properties of the Basins of Convergence in the Generalized Hénon–Heiles System

DOI10.1142/S0218127420500078zbMath1432.37070OpenAlexW3006587715MaRDI QIDQ5220441

Amit Mittal, Euaggelos E. Zotos, Rajiv Aggarwal, Sanam Suraj M.D.

Publication date: 23 March 2020

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

Full work available at URL: https://doi.org/10.1142/s0218127420500078

zbMATH Keywords

fractalitygeneralized Hénon-Heiles systemfractal basin boundariesbasins of convergence

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Fractals (28A80) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (1)

Periodic orbits and equilibria for a seventh-order generalized Hénon-Heiles Hamiltonian system

Uses Software

• Mathematica

Cites Work

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• Exponential decay and scaling laws in noisy chaotic scattering
• Dynamical analysis of bounded and unbounded orbits in a generalized Hénon-Heiles system
• Comparing the geometry of the basins of attraction, the speed and the efficiency of several numerical methods
• Basin topology in dissipative chaotic scattering
• Motion in the core of a triaxial potential
• Discrete symmetric dynamical systems at the main resonances with application to axi-symmetric galaxies
• Basin Entropy, a Measure of Final State Unpredictability and Its Application to the Chaotic Scattering of Cold Atoms

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