Dynamics, Synchronization and Electronic Implementations of a New Lorenz-like Chaotic System with Nonhyperbolic Equilibria

DOI10.1142/S0218127419501979zbMath1443.34019OpenAlexW2997831995WikidataQ126471898 ScholiaQ126471898MaRDI QIDQ5211098

Qiang Lai, Paul Didier Kamdem Kuate, Hilaire Fotsin

Publication date: 20 January 2020

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

Full work available at URL: https://doi.org/10.1142/s0218127419501979

zbMATH Keywords

Lorenz systemchaotic systemnonhyperbolic equilibriumSprott systempiecewise-linear functionelectronic implementation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Discontinuous ordinary differential equations (34A36) 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) Circuits in qualitative investigation and simulation of models (94C60)

Related Items (4)

Dynamic behavior in a pair of Lorenz systems interacting via positive-negative coupling ⋮ Dynamics of a New Multistable 4D Hyperchaotic Lorenz System and Its Applications ⋮ Coexisting attractors, circuit implementation and synchronization control of a new chaotic system evolved from the simplest memristor chaotic circuit ⋮ Complex dynamics induced by a sine nonlinearity in a five-term chaotic system: FPGA hardware design and synchronization

Cites Work

• Nonlinear dynamics and circuit implementation for a new Lorenz-like attractor
• Nonlinear analysis in a Lorenz-like system
• Linearization of the Lorenz system
• Bifurcation analysis of a new Lorenz-like chaotic system
• Dynamics of a new Lorenz-like chaotic system
• Determining Lyapunov exponents from a time series
• Adaptive synchronization of chaotic systems and its application to secure communications
• The diffusionless Lorenz equations; Shil'nikov bifurcations and reduction to an explicit map
• A new simple chaotic Lorenz-type system and its digital realization using a TFT touch-screen display embedded system
• The Lorenz equations: bifurcations, chaos, and strange attractors
• Dynamic analysis, circuit realization, control design and image encryption application of an extended Lü system with coexisting attractors
• Elementary quadratic chaotic flows with no equilibria
• Dynamical properties and simulation of a new Lorenz-like chaotic system
• Adaptive synchronization of uncertain chaotic Colpitts oscillators based on parameter identification
• Generating Multiple Chaotic Attractors from Sprott B System
• Are Perpetual Points Sufficient for Locating Hidden Attractors?
• A Simple Chaotic Flow with a Continuously Adjustable Attractor Dimension
• PERIODICALLY FORCED CHAOTIC SYSTEM WITH SIGNUM NONLINEARITY
• Infinite Multistability in a Self-Reproducing Chaotic System
• Deterministic Nonperiodic Flow
• Coexistence of Multiple Attractors in an Active Diode Pair Based Chua’s Circuit
• A SIMPLE YET COMPLEX ONE-PARAMETER FAMILY OF GENERALIZED LORENZ-LIKE SYSTEMS
• Creation of a complex butterfly attractor using a novel Lorenz-Type system
• SIMPLE CHAOTIC FLOWS WITH ONE STABLE EQUILIBRIUM
• Categorizing Chaotic Flows from the Viewpoint of Fixed Points and Perpetual Points

This page was built for publication: Dynamics, Synchronization and Electronic Implementations of a New Lorenz-like Chaotic System with Nonhyperbolic Equilibria