Conservative Chaos in a Class of Nonconservative Systems: Theoretical Analysis and Numerical Demonstrations

DOI10.1142/S0218127418500876zbMath1395.34019OpenAlexW2883430918WikidataQ129498417 ScholiaQ129498417MaRDI QIDQ3176342

Ruiye Zhang, Shi-Jian Cang, Zeng-Hui Wang, Zeng-Qiang Chen, Ai-guo Wu

Publication date: 20 July 2018

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

Full work available at URL: https://doi.org/10.1142/s0218127418500876

zbMATH Keywords

time-reversal symmetrynonconservative systemconservative chaoscurve of equilibria

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14) Bifurcation theory for ordinary differential equations (34C23) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Complex behavior and chaotic systems of ordinary differential equations (34C28)

Related Items (10)

Energy analysis of Sprott-A system and generation of a new Hamiltonian conservative chaotic system with coexisting hidden attractors ⋮ Generating multicluster conservative chaotic flows from a generalized Sprott-A system ⋮ A New Generalized Hamiltonian Chaotic System with Transient Quasi-Periodic Flows and Intermittent Chaos ⋮ A generic method for constructing n-fold covers of 3D conservative chaotic systems ⋮ Innovative Intelligent Methodology for the Classification of Soil Salinization Degree Using a Fractional-Order Master-Slave Chaotic System ⋮ Modeling of a Hamiltonian conservative chaotic system and its mechanism routes from periodic to quasiperiodic, chaos and strong chaos ⋮ Conservative chaos and invariant tori in the modified Sprott a system ⋮ A Novel Simple Hyperchaotic System with Two Coexisting Attractors ⋮ Rare Energy-Conservative Attractors on Global Invariant Hypersurfaces and Their Multistability ⋮ Transient behaviors and equilibria-analysis-based boundary crisis analysis in a smooth 4D dynamical system

Cites Work

• Unnamed Item
• Unnamed Item
• Boundedness solutions of the complex Lorenz chaotic system
• A novel chaos-based image encryption using DNA sequence operation and secure hash algorithm SHA-2
• Birth of one-to-four-wing chaotic attractors in a class of simplest three-dimensional continuous memristive systems
• High-dimensional chaotic and attractor systems. A comprehensive introduction
• Time-reversal symmetry in dynamical systems: a survey
• Canonical transformations used to derive robot control laws from a port-controlled Hamiltonian system perspective
• Determining Lyapunov exponents from a time series
• Energy cycle and bound of qi chaotic system
• On a 3-D generalized Hamiltonian model with conservative and dissipative chaotic flows
• On the formation of hidden chaotic attractors and nested invariant tori in the Sprott A system
• Periodic orbits for the generalized Yang-Mills Hamiltonian system in dimension 6
• An equation for continuous chaos
• Analytical and numerical investigation of a new Lorenz-like chaotic attractor with compound structures
• Advances in chaos theory and intelligent control
• Port-Hamiltonian Systems in Adaptive and Learning Control: A Survey
• ULTIMATE BOUND ESTIMATION OF A CLASS OF HIGH DIMENSIONAL QUADRATIC AUTONOMOUS DYNAMICAL SYSTEMS
• Non-ergodicity of Nosé–Hoover dynamics
• The double scroll
• An ultimate bound on the trajectories of the Lorenz system and its applications
• YET ANOTHER CHAOTIC ATTRACTOR
• Deterministic Nonperiodic Flow
• Phase-space metric for non-Hamiltonian systems
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Self-similarity, renormalization, and phase space nonuniformity of Hamiltonian chaotic dynamics
• Simulation and Control of Chaotic Nonequilibrium Systems
• Symmetric Time-Reversible Flows with a Strange Attractor
• Distinguishing Lorenz and Chen Systems Based Upon Hamiltonian Energy Theory
• Canonical transformation and stabilization of generalized Hamiltonian systems
• On generalized Hamiltonian systems

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