BIFURCATIONS AND CHAOS IN FRACTIONAL-ORDER SIMPLIFIED LORENZ SYSTEM
From MaRDI portal
Publication:3586841
DOI10.1142/S0218127410026411zbMath1193.34005MaRDI QIDQ3586841
No author found.
Publication date: 1 September 2010
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Bifurcation theory for ordinary differential equations (34C23) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Complex behavior and chaotic systems of ordinary differential equations (34C28) Fractional ordinary differential equations (34A08)
Related Items (41)
Multivariate permutation entropy and its application for complexity analysis of chaotic systems ⋮ Super-twisting algorithm-based sliding-mode observer for synchronization of nonlinear incommensurate fractional-order chaotic systems subject to unknown inputs ⋮ Improved chaotic dynamics of a fractional-order system, its chaos-suppressed synchronisation and circuit implementation ⋮ Modified generalized projective synchronization of fractional-order chaotic Lü systems ⋮ Adaptive control of fractional-order unified chaotic systems using a passivity-based control approach ⋮ Synchronization of two different fractional-order chaotic systems with unknown parameters using a robust adaptive nonlinear controller ⋮ Chaotic behavior and circuit implementation of a fractional-order permanent magnet synchronous motor model ⋮ Chaos in the fractional-order complex Lorenz system and its synchronization ⋮ Simple estimation method for the largest Lyapunov exponent of continuous fractional-order differential equations ⋮ On a new four-dimensional model of memristor-based chaotic circuit in the context of nonsingular Atangana-Baleanu-Caputo operators ⋮ Studying linear and nonlinear vibrations of fractional viscoelastic Timoshenko micro-/nano-beams using the strain gradient theory ⋮ Feigenbaum's constants in reverse bifurcation of fractional-order Rössler system ⋮ On disappearance of chaos in fractional systems ⋮ The Routh-Hurwitz conditions of fractional type in stability analysis of the Lorenz dynamical system ⋮ Hyperchaotic oscillation in the deformed Rikitake two-disc dynamo system induced by memory effect ⋮ Dynamical analysis of fractional-order Rössler and modified Lorenz systems ⋮ A novel fractional-order hyperchaotic system with a quadratic exponential nonlinear term and its synchronization ⋮ An Improved Return Maps Method for Parameter Estimation of Chaotic Systems ⋮ Dynamical Analysis and Circuit Simulation of a New Fractional-Order Hyperchaotic System and Its Discretization ⋮ Discretization of forced Duffing system with fractional-order damping ⋮ Chaos and Adaptive Control of the Fractional-Order Magnetic-Field Electromechanical Transducer ⋮ A Tribute to J. C. Sprott ⋮ An effective analytical criterion for stability testing of fractional-delay systems ⋮ What is the lowest order of the fractional-order chaotic systems to behave chaotically? ⋮ Dynamic analysis and chaos of the 4D fractional-order power system ⋮ CHAOS IN DIFFUSIONLESS LORENZ SYSTEM WITH A FRACTIONAL ORDER AND ITS CONTROL ⋮ Control of multistability ⋮ Numerical solutions of a variable-order fractional financial system ⋮ Solution and dynamics analysis of a fractional‐order hyperchaotic system ⋮ Chaos synchronization between two different fractional-order hyperchaotic systems ⋮ Bifurcation Control Of A Fractional-Order Van Der Pol Oscillator Based On The State Feedback ⋮ Linear and nonlinear vibrations of fractional viscoelastic Timoshenko nanobeams considering surface energy effects ⋮ Hopf Bifurcations, Periodic Windows and Intermittency in the Generalized Lorenz Model ⋮ Chaos detection of Duffing system with fractional-order derivative by Melnikov method ⋮ Chaos and bifurcations in chaotic maps with parameter q: Numerical and analytical studies ⋮ On a memristor-based hyperchaotic circuit in the context of nonlocal and nonsingular kernel fractional operator ⋮ Can derivative determine the dynamics of fractional-order chaotic system? ⋮ Characteristic Analysis and DSP Realization of Fractional-Order Simplified Lorenz System Based on Adomian Decomposition Method ⋮ Saddle-Node Bifurcation and Vibrational Resonance in a Fractional System with an Asymmetric Bistable Potential ⋮ CHAOS MULTISCALE-SYNCHRONIZATION BETWEEN TWO DIFFERENT FRACTIONAL-ORDER HYPERCHAOTIC SYSTEMS BASED ON FEEDBACK CONTROL ⋮ On the chaotic nature of the Rabinovich system through Caputo and Atangana-Baleanu-Caputo fractional derivatives
Uses Software
Cites Work
- Unnamed Item
- Dynamic analysis of a fractional-order Lorenz chaotic system
- Limitations of frequency domain approximation for detecting chaos in fractional order systems
- Chaos in the fractional order unified system and its synchronization
- Determining Lyapunov exponents from a time series
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Chaos in fractional-order autonomous nonlinear systems.
- Chaos in the fractional order Chen system and its control
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Short memory principle and a predictor-corrector approach for fractional differential equations
- Numerical algorithm for the time fractional Fokker-Planck equation
- Chaos in the Newton-Leipnik system with fractional order
- Linear approximation of transfer function with a pole of fractional power
- DYNAMICS OF A SIMPLIFIED LORENZ SYSTEM
This page was built for publication: BIFURCATIONS AND CHAOS IN FRACTIONAL-ORDER SIMPLIFIED LORENZ SYSTEM
