Conservative chaos and invariant tori in the modified Sprott a system

DOI10.1007/s11071-019-05385-9zbMath1459.34109OpenAlexW2989769675MaRDI QIDQ2023110

Yue Li, Wei Xue, Zeng-Qiang Chen, Shi-Jian Cang, Zeng-Hui Wang

Publication date: 3 May 2021

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-019-05385-9

zbMATH Keywords

invariant torigeneralized Hamiltonian systemconservative chaosSprott a system

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)

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Cites Work

• Determining Lyapunov exponents from a time series
• A bound on chaos
• On the formation of hidden chaotic attractors and nested invariant tori in the Sprott A system
• Finite-time Lyapunov dimension and hidden attractor of the Rabinovich system
• On the existence of periodic orbits and KAM tori in the Sprott A system: a special case of the Nosé-Hoover oscillator
• A new class of Hamiltonian conservative chaotic systems with multistability and design of pseudo-random number generator
• A chaotic system with a single unstable node
• Conservative Chaos in a Class of Nonconservative Systems: Theoretical Analysis and Numerical Demonstrations
• Independent coordinates for strange attractors from mutual information
• A Secret Key Cryptosystem by Iterating a Chaotic Map
• Deterministic Nonperiodic Flow
• A New Chaotic Image Encryption Scheme Using Breadth-First Search and Dynamic Diffusion
• Single Crystal-Lattice-Shaped Chaotic and Quasi-Periodic Flows with Time-Reversible Symmetry
• A Novel Color Image Encryption Algorithm Based on Hyperchaotic System and Permutation-Diffusion Architecture
• Distinguishing Lorenz and Chen Systems Based Upon Hamiltonian Energy Theory

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