Hidden hyperchaos and electronic circuit application in a 5D self-exciting homopolar disc dynamo
DOI10.1063/1.4977417zbMath1390.34159OpenAlexW2594650004WikidataQ47907361 ScholiaQ47907361MaRDI QIDQ4642561
Akif Akgul, Wei Zhang, Zhouchao Wei, Julien Clinton Sprott, Irene M. Moroz
Publication date: 23 May 2018
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://ora.ox.ac.uk/objects/uuid:c250e77c-b2ce-46f2-9c6b-8f277ca9e528
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45)
Related Items
Uses Software
Cites Work
- Delimiting hyperchaotic regions in parameter planes of a 5D continuous-time dynamical system
- Study of hidden attractors, multiple limit cycles from Hopf bifurcation and boundedness of motion in the generalized hyperchaotic Rabinovich system
- Local bifurcation analysis and topological horseshoe of a 4D hyper-chaotic system
- Elementary quadratic chaotic flows with a single non-hyperbolic equilibrium
- Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations
- Localization of hidden Chua's attractors
- Simple chaotic flows with a line equilibrium
- Hidden attractors in dynamical systems
- Perpetual points and hidden attractors in dynamical systems
- Determining Lyapunov exponents from a time series
- When chaos meets hyperchaos: 4D Rössler model
- Hidden attractor in smooth Chua systems
- Dynamical behaviors of a chaotic system with no equilibria
- On self-exciting coupled Faraday disk homopolar dynamos driving series motors
- Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity
- Constructing and analyzing of a unique three-dimensional chaotic autonomous system exhibiting three families of hidden attractors
- A new finding of the existence of hidden hyperchaotic attractors with no equilibria
- Elementary quadratic chaotic flows with no equilibria
- Dynamics of a hyperchaotic Lorenz-type system
- HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
- A 5D HYPERCHAOTIC SYSTEM WITH THREE POSITIVE LYAPUNOV EXPONENTS COINED
- Hidden Hyperchaotic Attractors in a Modified Lorenz–Stenflo System with Only One Stable Equilibrium
- A study of two novel self-exciting single-disk homopolar dynamos: theory
- Coexisting Hidden Attractors in a 4-D Simplified Lorenz System
- GENERATING HYPERCHAOTIC ATTRACTORS WITH THREE POSITIVE LYAPUNOV EXPONENTS VIA STATE FEEDBACK CONTROL
- TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS
- AN UNUSUAL 3D AUTONOMOUS QUADRATIC CHAOTIC SYSTEM WITH TWO STABLE NODE-FOCI
- A self-consistent treatment of simple dynamo systems
- Perpetual points and periodic perpetual loci in maps
- Shil'nikov's theorem-a tutorial
- A New 6D Hyperchaotic System with Four Positive Lyapunov Exponents Coined
- SIMPLE CHAOTIC FLOWS WITH ONE STABLE EQUILIBRIUM
- A CONTRIBUTION TO THE PROBLEM OF THE STRUCTURE OF AN EXTENDED NEIGHBORHOOD OF A ROUGH EQUILIBRIUM STATE OF SADDLE-FOCUS TYPE