A chaotic system with an infinite number of equilibrium points: dynamics, horseshoe, and synchronization
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Publication:504772
DOI10.1155/2016/4024836zbMath1382.37035OpenAlexW2560500807WikidataQ59122239 ScholiaQ59122239MaRDI QIDQ504772
Christos Volos, Sundarapandian Vaidyanathan, Viet-Thanh Pham, Xiong Wang
Publication date: 17 January 2017
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2016/4024836
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Attractors of solutions to ordinary differential equations (34D45) Synchronization of solutions to ordinary differential equations (34D06)
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Cites Work
- Unnamed Item
- Compound synchronization of four chaotic complex systems
- Adaptive generalized hybrid function projective dislocated synchronization of new four-dimensional uncertain chaotic systems
- Invariance of Lyapunov exponents and Lyapunov dimension for regular and irregular linearizations
- Adaptive synchronization for uncertain chaotic neural networks with mixed time delays using fuzzy disturbance observer
- Localization of hidden Chua's attractors
- Synchronization of chaotic Liouvillian systems: an application to Chua's oscillator
- Simple chaotic flows with a line equilibrium
- Hidden attractors in dynamical systems
- The Lyapunov dimension and its estimation via the Leonov method
- Synchronization of a chaotic finance system
- A topological horseshoe in the hyperchaotic Rössler attractor
- Horseshoe in a modified Van der Pol-Duffing circuit
- Horseshoe chaos and topological entropy estimate in a simple power system
- Determining Lyapunov exponents from a time series
- The synchronization of chaotic systems
- Image encryption using random bit sequence based on chaotic maps
- Global chaos synchronization of \(n\)-scroll Chua circuit and Lur'e system using backstepping control design with recursive feedback
- Chaotic flows with a single nonquadratic term
- Hidden attractor in smooth Chua systems
- Analysis, control, synchronization, and circuit design of a novel chaotic system
- Synchronization and secure communication of uncertain chaotic systems based on full-order and reduced-order output-affine observers
- Hidden attractor and homoclinic orbit in Lorenz-like system describing convective fluid motion in rotating cavity
- Lyapunov dimension formula for the global attractor of the Lorenz system
- Multistability and hidden attractors in a multilevel DC/DC converter
- A new Lorenz-type hyperchaotic system with a curve of equilibria
- A new finding of the existence of hidden hyperchaotic attractors with no equilibria
- On hyperchaos in a small memristive neural network
- Global synchronization of uncertain chaotic systems via discrete-time sliding mode control
- A chaotic particle swarm optimization exploiting a virtual quartic objective function based on the personal and global best solutions
- Horseshoe and topological entropy estimate of a class of three-dimensional cellular neural networks
- Hyperchaos, chaos, and horseshoe in a 4D nonlinear system with an infinite number of equilibrium points
- Topological horseshoes in continuous maps
- Simple Chaotic Flow with Circle and Square Equilibrium
- HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
- HYPERCHAOS IN A SPACECRAFT POWER SYSTEM
- MULTISTABILITY AND RARE ATTRACTORS IN VAN DER POL–DUFFING OSCILLATOR
- TOPOLOGICAL HORSESHOES AND COMPUTER ASSISTED VERIFICATION OF CHAOTIC DYNAMICS
- Constructing Chaotic Systems with Total Amplitude Control
- A SIMPLE METHOD FOR FINDING TOPOLOGICAL HORSESHOES
- Experimental synchronization of single-transistor-based chaotic circuits
- Deterministic Nonperiodic Flow
- TWO KINDS OF HORSESHOES IN A HYPERCHAOTIC NEURAL NETWORK
- Synchronization in chaotic systems
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