Breaking of integrability and conservation leading to Hamiltonian chaotic system and its energy-based coexistence analysis

DOI10.1063/5.0012236zbMath1466.37047OpenAlexW3119670682MaRDI QIDQ4983640

Jian-Bing Hu, Ting Gou, Guo-Yuan Qi, Guan-Rong Chen

Publication date: 26 April 2021

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0012236

zbMATH Keywords

Euler equationsbifurcation diagramchaotic orbits

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items (4)

Construction of a family of 5D Hamiltonian conservative hyperchaotic systems with multistability ⋮ An Effective Approach for Constructing a Class of 4D Multicluster Conservative Chaotic Systems without External Excitation ⋮ Design of intelligent computing networks for nonlinear chaotic fractional Rossler system ⋮ A new method of constructing cyclic symmetric conservative chaotic systems and improved offset boosting control

Cites Work

• Energy cycle for the Lorenz attractor
• Simple chaotic flows with a line equilibrium
• Hidden attractors in dynamical systems
• Hidden and self-excited coexisting attractors in a Lorenz-like system with two equilibrium points
• Global bifurcations and chaos. Analytical methods
• Integrability of nonlinear systems. Proceedings of the CIMPA school, Pondicherry University, India, January 8--26, 1996.
• Energy cycle and bound of qi chaotic system
• Mechanical analysis and bound of plasma chaotic system
• A fractional-order system with coexisting chaotic attractors and control chaos via a single state variable linear controller
• Modelling of both energy and volume conservative chaotic systems and their mechanism analyses
• Energy flow theory of nonlinear dynamical systems with applications
• Energy cycle of brushless DC motor chaotic system
• Modelings and mechanism analysis underlying both the 4D Euler equations and Hamiltonian conservative chaotic systems
• Classification of complete integrability cases in four-dimensional symmetric rigid-body dynamics in a nonconservative field
• Mechanism and Energy Cycling of the Qi Four-Wing Chaotic System
• Force Analysis and Energy Operation of Chaotic System of Permanent-Magnet Synchronous Motor
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Breaking of integrability and conservation leading to Hamiltonian chaotic system and its energy-based coexistence analysis