Hyperchaotic states in the parameter-space

DOI10.1016/J.AMC.2011.12.035zbMath1244.65233OpenAlexW2161743414MaRDI QIDQ428066

Marcos J. Correia, Paulo C. Rech

Publication date: 19 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.12.035

zbMATH Keywords

chaosnonlinear differential equationsLyapunov exponentshyperchaoscontinuous-time dynamical systemshyperchaotic pointsparameter-space

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Numerical chaos (65P20) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

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Cites Work

• Chaos synchronization of a new hyperchaotic system
• 3-scroll and 4-scroll chaotic attractors generated from a new 3-D quadratic autonomous system
• Feedback control strategies for the Liu chaotic system
• An equation for hyperchaos
• Self-similar structures in a 2D parameter-space of an inductorless Chua's circuit
• Adaptive synchronization of two novel different hyperchaotic systems with partly uncertain parameters
• A new hyperchaotic system and its synchronization
• Feedback control methods for stabilizing unstable equilibrium points in a new chaotic system
• Control and synchronize a novel hyperchaotic system
• Synchronization transition in degenerate optical parametric oscillators induced by nonlinear coupling
• Controlling hyperchaos in hyperchaotic Lorenz system using feedback controllers
• Hyperchaos in coupled Colpitts oscillators.
• Lag synchronization of hyperchaos with application to secure communications
• Adaptive control and synchronization of a novel hyperchaotic system with uncertain parameters
• Controlling hyperchaos in the new hyperchaotic Chen system
• CHARACTERIZATION OF THE RÖSSLER SYSTEM IN PARAMETER SPACE
• Hyperchaos from two coupled Wien-bridge oscillators
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• DYNAMICS OF A PARTICULAR LORENZ TYPE SYSTEM
• Some two-dimensional parameter spaces of a Chua system with cubic nonlinearity
• REGULAR AND CHAOTIC DYNAMICS OF THE LORENZ–STENFLO SYSTEM

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