A Three-Dimensional Chaotic System with Square Equilibrium and No-Equilibrium
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Publication:4622775
DOI10.1007/978-3-319-50249-6_21zbMath1410.34046OpenAlexW2592338310MaRDI QIDQ4622775
Christos Volos, Sajad Jafari, Viet-Thanh Pham, Tomáš Gotthans, Sundarapandian Vaidyanathan
Publication date: 18 February 2019
Published in: Fractional Order Control and Synchronization of Chaotic Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-50249-6_21
chaosbifurcationLyapunov exponentssynchronizationcircuithidden attractorSPICEsquare equilibriumno-equilibrium
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Complex behavior and chaotic systems of ordinary differential equations (34C28) Attractors of solutions to ordinary differential equations (34D45) Synchronization of solutions to ordinary differential equations (34D06)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Chaos modeling and control systems design
- Localization of hidden Chua's attractors
- Complex system modelling and control through intelligent soft computations. Selected papers based on the presentations at the 5th international conference on modelling, identification and control, Cairo, Egypt, August 31 -- September 2, 2013
- Simple chaotic flows with a line equilibrium
- Shape synchronization control for three-dimensional chaotic systems
- A 5D hyperchaotic Sprott B system with coexisting hidden attractors
- A novel keyed parallel hashing scheme based on a new chaotic system
- A new hybrid algorithm based on chaotic maps for solving systems of nonlinear equations
- Fast synchronization of non-identical chaotic modulation-based secure systems using a modified sliding mode controller
- Various synchronization phenomena in bidirectionally coupled double scroll circuits
- Algorithms for searching for hidden oscillations in the Aizerman and Kalman problems
- Adomian decomposition: a tool for solving a system of fractional differential equations
- Image encryption using chaotic coupled map lattices with time-varying delays
- Chaos in fractional conjugate Lorenz system and its scaling attractors
- Reconfigurable chaotic logic gates based on novel chaotic circuit
- Experimental robust synchronization of hyperchaotic circuits
- Limitations of frequency domain approximation for detecting chaos in fractional order systems
- A proof for non existence of periodic solutions in time invariant fractional order systems
- The Lyapunov dimension of strange attractors
- Determining Lyapunov exponents from a time series
- Possible new strange attractors with spiral structure
- Nonlinear systems. Analysis, stability, and control
- Chaos control. Theory and applications
- Anti-synchronization of chaotic oscillators
- The synchronization of chaotic systems
- Chaos in Chen's system with a fractional order
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Hidden attractor in smooth Chua systems
- Dynamical behaviors of a chaotic system with no equilibria
- Multistability and hidden attractors in a multilevel DC/DC converter
- Performance improvement of chaotic encryption via energy and frequency location criteria
- A discrete mathematical model for chaotic dynamics in economics: Kaldor's model on business cycle
- Elementary quadratic chaotic flows with no equilibria
- An equation for continuous chaos
- Chaotic synchronization and anti-synchronization based on suitable separation
- Frequency synchronization of clusters in coupled extended systems
- Adaptive control for anti-synchronization of Chua's chaotic system
- Advances in chaos theory and intelligent control
- 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
- GENERALIZED MEMORY ELEMENT AND CHAOTIC MEMORY SYSTEM
- Constructing a Novel No-Equilibrium Chaotic System
- Analysis, Control and Circuit Simulation of a Novel 3-D Finance Chaotic System
- Dynamics, Synchronization and SPICE Implementation of a Memristive System with Hidden Hyperchaotic Attractor
- Dynamic Analysis, Adaptive Feedback Control and Synchronization of An Eight-Term 3-D Novel Chaotic System with Three Quadratic Nonlinearities
- Qualitative Study and Adaptive Control of a Novel 4-D Hyperchaotic System with Three Quadratic Nonlinearities
- A Novel 4-D Four-Wing Chaotic System with Four Quadratic Nonlinearities and Its Synchronization via Adaptive Control Method
- Adaptive Control and Synchronization of Halvorsen Circulant Chaotic Systems
- Adaptive Backstepping Control and Synchronization of a Novel 3-D Jerk System with an Exponential Nonlinearity
- Generalized Projective Synchronization of a Novel Hyperchaotic Four-Wing System via Adaptive Control Method
- Analysis, Control and Synchronization of a Novel 4-D Highly Hyperchaotic System with Hidden Attractors
- Fuzzy Adaptive Synchronization of Uncertain Fractional-Order Chaotic Systems
- Fuzzy Control-Based Function Synchronization of Unknown Chaotic Systems with Dead-Zone Input
- Linear approximation of transfer function with a pole of fractional power
- Experimental synchronization of single-transistor-based chaotic circuits
- YET ANOTHER CHAOTIC ATTRACTOR
- Deterministic Nonperiodic Flow
- Cellular Neural Networks, Multi-Scroll Chaos and Synchronization
- A NEW CHAOTIC ATTRACTOR COINED
- Synchronization in chaotic systems
- Adaptive backstepping control, synchronization and circuit simulation of a 3-D novel jerk chaotic system with two hyperbolic sinusoidal nonlinearities
- Synchronization transitions in coupled time-delay electronic circuits with a threshold nonlinearity
- SIMPLE CHAOTIC FLOWS WITH ONE STABLE EQUILIBRIUM
- Is that Really Hidden? The Presence of Complex Fixed-Points in Chaotic Flows with No Equilibria
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