DETERMINISTIC CHAOS SEEN IN TERMS OF FEEDBACK CIRCUITS: ANALYSIS, SYNTHESIS, "LABYRINTH CHAOS"
From MaRDI portal
Publication:5474040
DOI10.1142/S0218127499001383zbMath1089.37512OpenAlexW1965360919MaRDI QIDQ5474040
Publication date: 23 June 2006
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127499001383
Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28)
Related Items (55)
The chaotic region of Lorenz-type system in the parametric space ⋮ A family of circulant megastable chaotic oscillators, its application for the detection of a feeble signal and PID controller for time-delay systems by using chaotic SCA algorithm ⋮ On some properties of even‐symmetric and odd‐symmetric dynamical systems ⋮ A New Generalized Hamiltonian Chaotic System with Transient Quasi-Periodic Flows and Intermittent Chaos ⋮ Design of high-gain observers based on sampled measurements via the interval arithmetic ⋮ Prologue to the special issue of JTB dedicated to the memory of René Thomas (1928--2017). A journey through biological circuits, logical puzzles and complex dynamics ⋮ Architecture of chaotic attractors for flows in the absence of any singular point ⋮ Auxiliary functions as Koopman observables: data-driven analysis of dynamical systems via polynomial optimization ⋮ Inducing chaos in a gene regulatory network by coupling an oscillating dynamics with a hysteresis-type one ⋮ Compound matrices in systems and control theory: a tutorial ⋮ Probing 3D chaotic Thomas’ cyclically attractor with multimedia encryption and electronic circuitry ⋮ A Novel 3-D Circulant Chaotic System with Labyrinth Chaos and Its Adaptive Control ⋮ On the Inverse Problem of Competitive Modes and the Search for Chaotic Dynamics ⋮ LABYRINTH CHAOS ⋮ A hidden chaotic attractor in the classical Lorenz system ⋮ Modelling of both energy and volume conservative chaotic systems and their mechanism analyses ⋮ Reducing network size and improving prediction stability of reservoir computing ⋮ An infinite 3-D quasiperiodic lattice of chaotic attractors ⋮ A Novel 3-D Circulant Highly Chaotic System with Labyrinth Chaos ⋮ A new necessary condition on interaction graphs for multistationarity ⋮ Feedbacks, nonlinearities and nonequilibria: a thermodynamic perspective ⋮ The interaction graph structure of mass-action reaction networks ⋮ CHAOTIC ATTRACTORS OF THE CONJUGATE LORENZ-TYPE SYSTEM ⋮ Categories of Conservative Flows ⋮ Labyrinth chaos: Revisiting the elegant, chaotic, and hyperchaotic walks ⋮ Hyperchaos of arbitrary order generated by a single feedback circuit, and the emergence of chaotic walks ⋮ Design of local observers for autonomous nonlinear systems not in observability canonical form ⋮ Stability of Periodic Orbits in the Averaging Theory: Applications to Lorenz and Thomas Differential Systems ⋮ A New Four-Dimensional Non-Hamiltonian Conservative Hyperchaotic System ⋮ Attraction/repulsion functions in a new class of chaotic systems ⋮ Modeling of a Hamiltonian conservative chaotic system and its mechanism routes from periodic to quasiperiodic, chaos and strong chaos ⋮ ON SEMI-ANALYTICAL PROCEDURE FOR DETECTING LIMIT CYCLE BIFURCATIONS ⋮ DETECTION OF LIMIT CYCLE BIFURCATIONS USING HARMONIC BALANCE METHODS ⋮ Linear stability analysis of a boundary crisis in a minimal chaotic flow ⋮ Pattern in nonlinearly coupled network of identical Thomas oscillators ⋮ Closed-form approximate solutions for a class of coupled nonlinear stochastic differential equations ⋮ Multistability and Coexisting Attractors in a New Circulant Chaotic System ⋮ Insights into the algebraic structure of Lorenz-like systems using feedback circuit analysis and piecewise affine models ⋮ Hyperlabyrinth chaos: From chaotic walks to spatiotemporal chaos ⋮ A Complete Investigation of the Effect of External Force on a 3D Megastable Oscillator ⋮ FREQUENCY DOMAIN METHOD FOR THE DICHOTOMY OF MODIFIED CHUA'S EQUATIONS ⋮ FRONTIER DIAGRAMS: PARTITION OF PHASE SPACE ACCORDING TO THE SIGNS OF EIGENVALUES OR SIGN PATTERNS OF THE CIRCUITS ⋮ Modelings and mechanism analysis underlying both the 4D Euler equations and Hamiltonian conservative chaotic systems ⋮ A FURTHER UNDERSTANDING OF PHASE SPACE PARTITION DIAGRAMS ⋮ FPGA implementation and control of chaotic systems involving the variable-order fractional operator with Mittag-Leffler law ⋮ Multi-equilibrium property of metabolic networks: Exclusion of multi-stability for SSN metabolic modules ⋮ CHAOS ENTANGLEMENT: A NEW APPROACH TO GENERATE CHAOS ⋮ Conditional symmetry: bond for attractor growing ⋮ Chaos: From theory to applications for the 80th birthday of Otto E. Rössler ⋮ Chaotic jerk systems with hidden attractors ⋮ The Effects of Symmetry Breaking Perturbation on the Dynamics of a Novel Chaotic System with Cyclic Symmetry: Theoretical Analysis and Circuit Realization ⋮ LINEAR AND NONLINEAR ARABESQUES: A STUDY OF CLOSED CHAINS OF NEGATIVE 2-ELEMENT CIRCUITS ⋮ Bifurcations and chaos in nonlinear Lindblad equations ⋮ A new method of constructing cyclic symmetric conservative chaotic systems and improved offset boosting control ⋮ ATANGANA–SEDA NUMERICAL SCHEME FOR LABYRINTH ATTRACTOR WITH NEW DIFFERENTIAL AND INTEGRAL OPERATORS
Cites Work
- Logical identification of all steady states: The concept of feedback loop characteristic states
- What can we learn from homoclinic orbits in chaotic dynamics ?
- A reliable Rosenbrock integrator for stiff differential equations
- An equation for continuous chaos
- Necessary Conditions for Multistationarity and Stable Periodicity
- Positive and Negative Circuits in Dynamical Systems
- CNN: A Vision of Complexity
- Deterministic Nonperiodic Flow
- A universal circuit for studying and generating chaos. II. Strange attractors
This page was built for publication: DETERMINISTIC CHAOS SEEN IN TERMS OF FEEDBACK CIRCUITS: ANALYSIS, SYNTHESIS, "LABYRINTH CHAOS"