A Simple Chaotic Flow with a Continuously Adjustable Attractor Dimension

DOI10.1142/S0218127415300360zbMath1328.37035OpenAlexW2184483302MaRDI QIDQ3462279

Wesley Thio, Buncha Munmuangsaen, Luigi Fortuna, Arturo Buscarino, Julien Clinton Sprott

Publication date: 5 January 2016

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

Full work available at URL: https://doi.org/10.1142/s0218127415300360

zbMATH Keywords

chaosdifferential equationdynamical systemconservative systemlow-dimensional chaos

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) Bifurcation theory for ordinary differential equations (34C23) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Dimension theory of smooth dynamical systems (37C45)

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Cites Work

• Unnamed Item
• Unnamed Item
• On a new hyperchaotic system
• A comparison of correlation and Lyapunov dimensions
• A simple Lorenz circuit and its radio frequency implementation
• EXPERIMENTAL DEMONSTRATION OF SECURE COMMUNICATIONS VIA CHAOTIC SYNCHRONIZATION