Graphical Structure of Attraction Basins of Hidden Chaotic Attractors: The Rabinovich–Fabrikant System
From MaRDI portal
Publication:4626465
DOI10.1142/S0218127419300015zbMath1415.37027arXiv1809.09530WikidataQ109297730 ScholiaQ109297730MaRDI QIDQ4626465
Paul D. Bourke, Marius-F. Danca, Nikolay V. Kuznetsov
Publication date: 28 February 2019
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.09530
Related Items (13)
Hidden and self-excited attractors in a heterogeneous Cournot oligopoly model ⋮ Categorizing with catastrophic radii in numerical minimization ⋮ A New System with a Self-Excited Fully-Quadratic Strange Attractor and Its Twin Strange Repeller ⋮ Investigation of the Simplest Megastable Chaotic Oscillator with Spatially Triangular Wave Damping ⋮ New 4D chaotic system with hidden attractors and self-excited attractors and its application in image encryption based on RNG ⋮ Chaotic hidden attractor in a fractional order system modeling the interaction between dark matter and dark energy ⋮ Hidden attractors and multistability in a modified Chua's circuit ⋮ Unnamed Item ⋮ A novel non-equilibrium memristor-based system with multi-wing attractors and multiple transient transitions ⋮ A New Category of Three-Dimensional Chaotic Flows with Identical Eigenvalues ⋮ Rare Energy-Conservative Attractors on Global Invariant Hypersurfaces and Their Multistability ⋮ Connecting Curves as a Tool to Localize Hidden Attractors in a New Chaotic Hyperjerk System with No Equilibria ⋮ New fractional modelling and control analysis of the circumscribed self-excited spherical strange attractor
Cites Work
- Unnamed Item
- Unnamed Item
- Study of hidden attractors, multiple limit cycles from Hopf bifurcation and boundedness of motion in the generalized hyperchaotic Rabinovich system
- Dynamics of self-excited attractors and hidden attractors in generalized memristor-based Chua's circuit
- Bifurcation analysis and circuit realization for multiple-delayed Wang-Chen system with hidden chaotic attractors
- Algorithms for finding hidden oscillations in nonlinear systems. The Aizerman and Kalman conjectures and Chua's circuits
- Localization of hidden Chua's attractors
- A 5D hyperchaotic Sprott B system with coexisting hidden attractors
- Control of multistability
- Hidden attractors in dynamical systems
- Algorithms for searching for hidden oscillations in the Aizerman and Kalman problems
- Computational uncertainty and the application of a high-performance multiple precision scheme to obtaining the correct reference solution of Lorenz equations
- Hidden chaotic sets in a Hopfield neural system
- 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
- Hidden attractor in smooth Chua systems
- Visualization of four normal size limit cycles in two-dimensional polynomial quadratic system
- Hidden attractors in dynamical models of phase-locked loop circuits: limitations of simulation in MATLAB and SPICE
- Analytical-numerical methods of finding hidden oscillations in multidimensional dynamical systems
- Looking More Closely at the Rabinovich–Fabrikant System
- A Chaotic System with Different Families of Hidden Attractors
- HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
- The Relationship Between Chaotic Maps and Some Chaotic Systems with Hidden Attractors
- Hidden Bifurcations in the Multispiral Chua Attractor
- Scenario of the Birth of Hidden Attractors in the Chua Circuit
- Coexisting Hidden Attractors in a 4-D Simplified Lorenz System
- Dynamics and Synchronization of a Novel Hyperchaotic System Without Equilibrium
- Synchronization behaviors of coupled systems composed of hidden attractors
- Hidden Attractors on One Path: Glukhovsky–Dolzhansky, Lorenz, and Rabinovich Systems
- Hidden hyperchaos and electronic circuit application in a 5D self-exciting homopolar disc dynamo
- Calculation of Hamilton energy and control of dynamical systems with different types of attractors
- BIFURCATION AND CHAOS IN A COMPLEX MODEL OF DISSIPATIVE MEDIUM
- Analytical-Numerical Localization of Hidden Attractor in Electrical Chua’s Circuit
- Co-existing hidden attractors in a radio-physical oscillator system
- SIMPLE CHAOTIC FLOWS WITH ONE STABLE EQUILIBRIUM
This page was built for publication: Graphical Structure of Attraction Basins of Hidden Chaotic Attractors: The Rabinovich–Fabrikant System
