Multistability and Coexisting Attractors in a New Circulant Chaotic System

DOI10.1142/S0218127419501748zbMath1436.34050OpenAlexW2996182368WikidataQ126594323 ScholiaQ126594323MaRDI QIDQ5206889

Sajad Jafari, Fawaz E. Alsaadi, Viet-Thanh Pham, Akif Akgul, Karthikeyan Rajagopal, Fahimeh Nazarimehr, Fuad Eid S. Alsaadi

Publication date: 19 December 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127419501748

zbMATH Keywords

bifurcationchaotic flowfractional ordermultistabilitycircuit realization

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Analytic circuit theory (94C05) 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) Fractional ordinary differential equations (34A08) Circuits in qualitative investigation and simulation of models (94C60)

Related Items

Optimal synchronization of circulant and non-circulant oscillators, An Extremely Multistable Complex Chaotic System Under Boosting Control, Multiple Hopf bifurcations, period-doubling reversals and coexisting attractors for a novel chaotic jerk system with Tchebytchev polynomials, Multistability and its dependence on the attractor volume, A Luenberger-like observer for multistable Kapitaniak chaotic system, Coexisting attractors, circuit implementation and synchronization control of a new chaotic system evolved from the simplest memristor chaotic circuit, Hopf bifurcation and synchronization of a five-dimensional self-exciting homopolar disc dynamo using a new fuzzy disturbance-observer-based terminal sliding mode control, The Effects of Symmetry Breaking Perturbation on the Dynamics of a Novel Chaotic System with Cyclic Symmetry: Theoretical Analysis and Circuit Realization, Chaos and multistability behaviors in 4D dissipative cancer growth/decay model with unstable line of equilibria

Uses Software

• Matlab
• sysdfod
• DFOC
• FracPECE

Cites Work

• Unnamed Item
• Unnamed Item
• On the periodic orbit bifurcating from one single non-hyperbolic equilibrium in a chaotic jerk system
• Elementary quadratic chaotic flows with a single non-hyperbolic equilibrium
• Localization of hidden Chua's attractors
• Stability of fractional order systems
• Control of multistability
• Hidden attractors in dynamical systems
• Fractional-order nonlinear systems. Modeling, analysis and simulation
• Basic theory of fractional differential equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• A note on the stability of fractional order systems
• Determining Lyapunov exponents from a time series
• An algorithm for the numerical solution of differential equations of fractional order
• Hidden extreme multistability in memristive hyperchaotic system
• Hyperchaotic chameleon: fractional order FPGA implementation
• Hidden attractor in smooth Chua systems
• Dynamical behaviors of a chaotic system with no equilibria
• Dynamical analysis and FPGA implementation of a novel hyperchaotic system and its synchronization using adaptive sliding mode control and genetically optimized PID control
• Fractional order memristor no equilibrium chaotic system with its adaptive sliding mode synchronization and genetically optimized fractional order PID synchronization
• FPGA realization of multi-scroll chaotic oscillators
• Elementary quadratic chaotic flows with no equilibria
• Generating Multiple Chaotic Attractors from Sprott B System
• HIDDEN ATTRACTORS IN DYNAMICAL SYSTEMS. FROM HIDDEN OSCILLATIONS IN HILBERT–KOLMOGOROV, AIZERMAN, AND KALMAN PROBLEMS TO HIDDEN CHAOTIC ATTRACTOR IN CHUA CIRCUITS
• Simple Chaotic Flows with a Curve of Equilibria
• A Modified Multistable Chaotic Oscillator
• A Simple Chaotic Flow with a Plane of Equilibria
• Fractal system as represented by singularity function
• Matlab Code for Lyapunov Exponents of Fractional-Order Systems
• Some New Dissipative Chaotic Systems with Cyclic Symmetry
• Various Types of Coexisting Attractors in a New 4D Autonomous Chaotic System
• SIMPLE CHAOTIC FLOWS WITH ONE STABLE EQUILIBRIUM
• DETERMINISTIC CHAOS SEEN IN TERMS OF FEEDBACK CIRCUITS: ANALYSIS, SYNTHESIS, "LABYRINTH CHAOS"
• A review of the decomposition method and some recent results for nonlinear equations
• Analysis of fractional differential equations